Answers
We can use factorization method to solve quadratic equation.
And, The value of solution of the quadratic equation is,
⇒ x = 2, 6
We have to given that;
Quadratic equation is,
⇒ x² - 8x = - 12
Now, We can simplify as;
⇒ x² - 8x = - 12
⇒ x² - 8x + 12 = 0
Factorized it as;
⇒ x² - (6 + 2)x + 12 = 0
⇒ x² - 6x - 2x + 12 = 0
⇒ x (x - 6) - 2 (x - 6) = 0
⇒ (x - 2) (x - 6) = 0
⇒ x = 2, 6
Thus, We can use factorization method to solve quadratic equation.
And, The solution is,
⇒ x = 2, 6
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Related Questions
Write the following sets of the following problems using the descriptive method (please help)
1- Mathematics
2- Rain , Snow , Sunny
3- Canada , Mexico , United States
Answers
1.The set of all mathematical concepts .
2.The set of possible weather conditions in which an area can experience.
3.The set of countries that make up the North American continent.
What are the sets ?Sets, in mathematics , are a coordinated assortment of articles and can be addressed in set-manufacturer structure or list structure. Curly braces are typically used to represent sets.
1- Mathematics:
The collection of all mathematical concepts and guiding principles pertaining to the investigation of quantity, structure, space, and change. Math, algebra, geometry, trigonometry, calculus, probability, and statistics are all included in this.
2- Rain, Snow, Sunny:
The arrangement of conceivable weather patterns where a region can insight. This includes rain, which is the term used to describe the liquid water droplets that fall from clouds; snow, which refers to ice crystals falling from clouds; and sunny, a weather condition characterized by abundant sunlight and clear skies.
3- Canada, Mexico, United States:
The group of nations that make up the continent of North America. Canada, which is in the north of the continent, is included in this. Mexico, which is in the continent's southernmost region; and the United States of America, which is in the middle of the continent. The numerous cultures, histories, and geographies of these nations define them.
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Describe the association shown in the scatter plot.
A. No association
B. Negative association
C. Prime association
D. Positive association
In my opinion I think it’s either B or D but what do you guys think?
Answers
Answer:
B.
Step-by-step explanation:
Since the line is from the top left to bottom right it's negative but if it was the opposite it would be positive.
Need help will give brainliest and 5 stars! :)
Answers
The evaluations of the given expressions are:
(a) ln e⁻³ = -3
(b) e^(ln 5) = 5
(c) e^(ln √3) = √3
(d) ln (1 / e⁵) = -5
Evaluating an expressionFrom the question, we are to evaluate the given expressions.
The given expressions contain natural logarithm and exponential functions.
The natural logarithm is the inverse of the exponential function.
Thus,
ln eˣ = x
Likewise
e^(ln x) = x
Applying these rules to the given expressions, we get
(a) ln e⁻³ = -3
(b) e^(ln 5) = 5
(c) e^(ln √3) = √3
(d) ln (1 / e⁵)
This can be written as
ln (e⁻⁵) = -5
Thus,
ln (1 / e⁵) = -5
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CAN SOMEONE PLEASEEE HELPP MEEE
Answers
Hope this helped!
Tyler invests $9700 in two different accounts. The first account paid 10 %, the second account paid 9 % in interest. At the end of the first year he had earned $931 in interest. How much was in each account?
Answers
Tyler invested $5800 in the first account and $3900 in the second account.
What is simple and compound interest?Simple interest is interest that is calculated solely on a loan's or investment's principal amount, without taking into account any interest that has accrued over time. For instance, regardless of how long you keep the money in the account, if you deposit $1,000 in a savings account that offers 5% simple interest annually, you will make $50 in interest each year. Contrarily, compound interest accounts for both the original principal and the interest that has accrued over time. This means that interest is calculated on the new, higher balance after the interest collected during each period is applied to the principal amount.
Let us suppose the amount invested in first account = x.
The amount in second account = y.
Thus, according to the statements we have:
x + y = 9700 (total amount invested is $9700)
0.10x + 0.09y = 931
Now from the first equation we can write:
y = 9700 - x
Substituting the value of y we have:
0.10x + 0.09(9700 - x) = 931
0.10x + 873 - 0.09x = 931
0.01x = 58
x = 5800
Now, substituting the value of x we have:
y = 9700 - 5800
y = 3900
Hence, Tyler invested $5800 in the first account and $3900 in the second account.
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The management of Ballard MicroBrew is considering the purchase of an automated bottling machine for $74,000. The machine would replace an old piece of equipment that costs $19,000 per year to operate. The new machine would cost $9,000 per year to operate. The old machine currently in use is fully depreciated and could be sold now for a salvage value of $31,000. The new machine would have a useful life of 10 years with no salvage value.
Required:
1. What is the annual depreciation expense associated with the new bottling machine?
2. What is the annual incremental net operating income provided by the new bottling machine?
3. What is the amount of the initial investment associated with this project that should be used for calculating the simple rate of return?
4. What is the simple rate of return on the new bottling machine? (Round your answer to 1 decimal place i.e. 0.123 should be considered as 12.3%.)
Answers
1. Depreciation expense = $7,400 per year
2. Incremental net operating income = $10,000 per year
3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
4. The simple rate of return on the new bottling machine is 13.5%.
What is investment?Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.
Annual Depreciation Expense:
The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:
Depreciation expense = (Cost of the machine - Salvage value) / Useful life
Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year
Annual Incremental Net Operating Income:
To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.
Annual operating cost of the old machine = $19,000
Annual operating cost of the new machine = $9,000
Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine
Incremental net operating income = $19,000 - $9,000 = $10,000 per year
Initial Investment:
The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
Simple Rate of Return:
The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.
Simple rate of return = Annual incremental net operating income / Initial investment
Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)
Therefore, the simple rate of return on the new bottling machine is 13.5%.
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1. Depreciation expense = $7,400 per year
2. Incremental net operating income = $10,000 per year
3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
4. The simple rate of return on the new bottling machine is 13.5%.
What is investment?
Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.
Annual Depreciation Expense:
The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:
Depreciation expense = (Cost of the machine - Salvage value) / Useful life
Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year
Annual Incremental Net Operating Income:
To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.
Annual operating cost of the old machine = $19,000
Annual operating cost of the new machine = $9,000
Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine
Incremental net operating income = $19,000 - $9,000 = $10,000 per year
Initial Investment:
The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.
Simple Rate of Return:
The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.
Simple rate of return = Annual incremental net operating income / Initial investment
Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)
Therefore, the simple rate of return on the new bottling machine is 13.5%.
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the length of two sides of a triangle are 5.3 and 0.4. find the length of the third side if it is an integer.
Answers
Answer: It is not possible for the length of the third side of a triangle to be an integer when the lengths of the other two sides are not integer.
Step-by-step explanation:
When the other two sides of a triangle are 5.3 and 0.4 in length, the third side cannot possibly have an integer length. This is so because any two sides of a triangle must have lengths that are greater than the length of the third side. In this instance, 5.3 + 0.4 = 5.7, which still falls short of any integer number for the third side's length.
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Answer: 5
Step-by-step explanation:
5.3+0.4=5.7
5.3-0.4=4.9
4.9<x<5.7
The only possible integer between these two numbers is 5, so the correct answer is 5.
How many times larger is the volume of a
cylinder if the radius is multiplied by 3?
A. 3 times larger
B. 6 times larger
C. 9 times larger
D. 27 times larger
Answers
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. If we multiply the radius by 3, the new radius becomes 3r. So the new volume becomes:
V' = π(3r)^2h = 9πr^2h
Therefore, the new volume is 9 times larger than the original volume.
So, the correct answer is C. 9 times larger.
Answer:
C. 9 times larger
Explanation:
where, r = radius of a cylinder and h = height of the cylinder. This means that the volume of a cylinder will be 9 times larger if the radius is multiplied by 3.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
Step-by-step explanation:
D
Write the following as an algebraic expression. Simplify if possible.
Subtract 5x−2 from x−1.
Answers
Answer:
The algebraic expression for "Subtract 5x−2 from x−1" is:
(x - 1) - (5x - 2)
Simplifying this expression:
x - 1 - 5x + 2
= -4x + 1
Therefore, the simplified algebraic expression is -4x + 1.
*Photo*
Scatter plot photos from last
post
Need asap by 11am
Answers
Answer:28 or 29 can't tell if the x is supposed to be on the 28 or 29
Step-by-step explanation:
HELPP!!!Show all work to identify the asymptotes and state the end behavior of the function f of x is equal to 3x divided by the quantity of x minus 9 end quantity.
Answers
First, we need to identify any vertical asymptotes. These occur when the denominator of the fraction equals zero. In this case, the denominator is x - 9, so there is a vertical asymptote at x = 9.
Next, we need to analyze the end behavior of the function as x approaches infinity and negative infinity. We can do this by dividing the numerator and denominator of the fraction by the highest power of x in the denominator, which is x. This gives us:
f(x) = (3x / x) / ((x - 9) / x)
Simplifying, we get:
f(x) = 3 / (1 - 9/x)
As x approaches infinity, the term 9/x approaches zero, so we can ignore it. Therefore, as x approaches infinity, the function approaches:
f(x) = 3 / 1 = 3
As x approaches negative infinity, the term 9/x approaches zero, so we can ignore it. Therefore, as x approaches negative infinity, the function approaches:
f(x) = 3 / 1 = 3
Therefore, the end behavior of the function is that it approaches y = 3 as x approaches infinity and as x approaches negative infinity. We can confirm this by looking at the graph of the function, which should have a horizontal asymptote at y = 3 and a vertical asymptote at x = 9.
(2x - 4)(5x + 8) what’s the answer
Answers
Answer:
10x^2 - 4x - 32
Step-by-step explanation:
(2x - 4)(5x + 8)
10x^2 + 16x - 20x - 32
10x^2 - 4x - 32
According to shopper data, 97% of households purchase
toilet paper. An analyst believes this is too low. To
investigate, the analyst selects a random sample of 500
households and finds that 98% of them purchase toilet
paper. We found that we do not have convincing
evidence at the a= 0.05 level to conclude that the true
proportion of all households that purchase toilet paper
differs from 0.97.
It can be difficult to detect such a small difference, such
as from 0.97 to 0.98, even if the difference exists.
What can be done to increase the power of this test to
reject 0.97 if 0.98 is true? Check all that apply.
increase a
decrease a
O increase n
decrease n
discard first results and select a separate random
sample of 500 households
Answers
- Increase n (sample size)
- Decrease the level of significance (a)
- Discard the first results and select a separate random sample of 500 households
Therefore, the correct options are:
- Increase n
- Decrease a
- Discard first results and select a separate random sample of 500 households
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Answers
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
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A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
Answers
Answer:
Step-by-step explanation:
(0,0)
i hope this helps
Carla and Hattie are playing a game and trying to decide who will start first. Which method assures that each of them has a fair chance of being selected to go first? Flip a fair coin. If it lands on heads, Carla will go first. If it lands on tails, Hattie will go first. Create a spinner with four equal-sized regions. Color each region a different color: red, green, blue, and purple. If the spinner lands on red, Carla will go first. If the spinner lands on green, Hattie will go first. If the spinner lands on blue, Carla will go first. If the spinner lands on purple, spin again. Roll a number cube with numbers from 1 to 6. If the number rolled is greater than 4, Carla will go first. Otherwise, Hattie will go first. Draw a card from an ordinary deck of 52 playing cards. If the drawn card is a club, Hattie will go first. If the drawn card is a diamond, Carla will go first. If the drawn card is a heart, Hattie will go first. If the drawn card is a spade, draw again.
Answers
The selection method that assures a fair chance of being selected to go first between Carla and Hattie is A) Flip a fair coin. If it lands on heads, Carla will go first. If it lands on tails, Hattie will go first.
What is a fair chance?A fair chance is based on an equal probability of being selected.
A fair coin of head and tail offers a fair chance to two contenders on who should play the game first.
In this situation, since Carla gets the heads, he has 50% chance of being selected to go first.
Equally, Hattie has a 50% chance to go first getting the tails.
Thus, the correct selection method is Option A.
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Determine whether f(x)=x9+43
and g(x)=9x+12
are inverses. Explain your reasoning.
Answers
Answer:
the abswer is D
Step-by-step explanation:
[f○g](x)=(9x+12)/9+8/3=x+8/3
[g○f](x)=9(x/9 + 4/3)+12=x+24
so for the same x they are not inverses
Please help meeeee !!!
Answers
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer: C. 3/(t-1)
Step-by-step explanation:
Answer:
[tex] \dfrac{3}{t - 1} [/tex]
Step-by-step explanation:
[tex] \dfrac{t^2 - 2t - 3}{t^2 - 1} \cdot \dfrac{3t - 3}{t^2 - 4t + 3} = [/tex]
Start by factoring every numerator and denominator.
[tex] = \dfrac{(t - 3)(t + 1)}{(t + 1)(t - 1)} \cdot \dfrac{3(t - 1)}{(t - 3)(t - 1)} [/tex]
Every factor that exists in both a numerator and denominator can be eliminated.
[tex] = \dfrac{1}{t - 1} \cdot \dfrac{3}{1} [/tex]
Multiply numerators together. Multiply denominators together.
[tex] = \dfrac{3}{t - 1} [/tex]
The chart shows the number of students who participate in various sports.
A 2-column table with 5 rows. Column 1 is labeled Sport with entries flag football, tennis, dance, basketball, cheer. Column 2 is labeled Number of Students with entries 35, 27, 43, 33, 26.
What is the ratio of students who dance to the total number of students?
StartFraction 43 Over 95 EndFraction
StartFraction 43 Over 121 EndFraction
StartFraction 43 Over 164 EndFraction
StartFraction 43 Over 175 EndFraction
Answers
35 + 27 + 43 + 33 + 26 = 164
The number of students who participate in dance is 43.
Therefore, the ratio of students who dance to the total number of students is:
43/164
Simplifying this fraction by dividing both the numerator and denominator by the greatest common factor of 43 and 164, which is 1, we get:
43/164 = StartFraction 43 Over 164 EndFraction
So, the answer is StartFraction 43 Over 164 EndFraction.
Select the correct answer.
Simplify:
3x3² +8÷2-(4+3)
A.
30
B. 32
OC. 23
OD. 24
I need it asap pleasee
Answers
Answer:
OD:24
Step-by-step explanation:
3*3”2 = 27
-(4+3) = -7
8divided by 2= 4
27 + 4 -7=24
9207 divided by 4 long division
Answers
Answer:
9207 divided by 4 = 2301 with a remainder of 3
Step-by-step explanation:
(check the attached document)
|-13.5-(-4 1/5)| times 1.4 plus (-2) to the power of 2
Answers
In summary |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
How to solve?
|-13.5 - (-4 1/5)| = |-13.5 + 4 1/5| [Subtracting a negative is equivalent to adding a positive]
= |-9 4/5|
= 9 4/5
Now, we can substitute the values and simplify the expression:
|-13.5 - (-4 1/5)| × 1.4 + (-2)²2
= 9 4/5 × 1.4 + (-2)²2
= 13 3/5 + 4
= 17 3/5
Therefore, |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), connected by an equal sign (=).
For example, the equation 3x + 5 = 14 is an equation that shows that the expression 3x + 5 is equal to the expression 14. This equation can be solved for x to find the value of x that makes the equation true.
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ASAP The vertices of a rectangle are plotted in the image shown.
A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 4, 4, then 3, 4, then negative 4, negative 3, and at 3, negative 3.
What is the perimeter of the rectangle created by the points?
49 units
56 units
14 units
28 units
Answers
The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.
To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.
Let's calculate the length of each side:
Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.
Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.
Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.
Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.
Now, let's sum up the lengths of all four sides:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
Perimeter = 7 + 7 + 7 + 7
Perimeter = 28 units
Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.
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What is the area, in square meters, of the shape below?
Answers
Answer:
A = 15.87 m²
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 6.9 and h = 4.6 , then
A = [tex]\frac{1}{2}[/tex] × 6.9 × 4.6 = 3.45 × 4.6 = 15.87 m²
offering 15 points please help
Answers
Answer: p=[tex]\frac{4m}{3}[/tex] last one
Step-by-step explanation:
Varies directly means y=kx
here p=km
m= 1 1/2 =3/2
p=2
plug to solve for k
2=k(3/2)
k=4/3
plug back in p=4m/3
Maricopa's Success scholarship fund receives a gift of $ 95000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 4.2 % interest, and stocks pay 11.2 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 6845 , how much was invested in each account?
Answers
Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
What is investment?
Property acquired or invested in to build wealth and save hard-earned income or appreciation is called investment.
Let's start by assigning variables to represent the amounts invested in each type of account:
Let x be the amount invested in CDs.
Let y be the amount invested in bonds.
Let z be the amount invested in stocks.
From the problem statement, we know that:
Here total invested amount is $95,000,
So, we have
[tex]x + y + z = 95,000.[/tex]
The amount invested in bonds is $35,000 more than the amount invested in CDs,
So we have
[tex]y = x + 35,000.[/tex]
The annual income from the investments is $6,845, which we can express as:
0.0475x + 0.042y + 0.112z = 6,845........ (1)
Now we can use the system of equations formed by the three equations above to solve for x, y, and z. First, we can substitute [tex]y = x + 35,000.[/tex] into the equation [tex]x + y + z = 95,000[/tex] to get,
[tex]x + (x + 35,000) + z = 95,000[/tex]
Simplifying this equation, we get:
2x + z = 60,000........ (2)
Next, we can substitute y = x + 35,000 and simplify the equation (1) using equation (2) to get:
[tex]0.0475x + 0.042(x + 35,000) + 0.112z = 6,845[/tex]
Simplifying and rearranging this equation, we get:
0.0895x + 0.112z = 8,545 ..........(3)
Let's use substitution by solving equation (2) for z and substituting into equation (3):
Now, z = 60,000 - 2x
So, 0.0895x + 0.112(60,000 - 2x) = 8,545
Simplifying and solving for x, we get:
x = 18,000
Substituting this value of x into equation (2) to solve for z, we get:
2(18,000) + z = 60,000
z = 24,000
Finally, we can use equation (1) to solve for y:
[tex]0.0475(18,000) + 0.042(y) + 0.112(24,000) = 6,845[/tex]
Simplifying and solving for y, we get:
y = 32,000
Therefore, Maricopa Success invested $18,000 in CDs, $32,000 in bonds, and $24,000 in stocks.
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Need help asap pls and thx pic is attached
Answers
The values of Sin A, Cos B and Tan A are: 41.8, 2.8 and 6.9 respectively
What is trigonometry ratio?The ratios of the sides of a right triangle are called trigonometric ratios.", if in trigonometry the ratios of the sides of a triangle are called 'trigonometric ratios' then what if the triangle is not a right triangleA =
In triangle 1
SinA = Opposite/Hypothenuse
Son A = 6/9
Sin A = 0.6669
A = Sin ⁻¹0.6667
A = 41.8⁰
For triangle 2
Cos B = Adjacent /Hypothenuse
Cos 45 = x/4
AB = 4*0.7071
AB = 2.8
For triangle 3
Tan a = Opp/Adjacent
Tan60 = AB/4
AB = 4*Tan60
AB = 4* 1.7321
AB = 6.9
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Price of Airfare
900
800
700
600
500
400
300
200
100
0
0
Distance Traveled vs. Price of Airfare
from NYC
500
1000
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y = 200+ 0.30x
1500
Distance
Traveled
Word Bank:
200 800 1000 30 y=50+0.30x y=30+0.50x
2000
Consider the data shown on the graph:
The y-intercept represents the base price of $
The slope represents a cost of
cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC
would pay $
for their airfare
2500
According to the equation given, someone who paid $500 for airfaire from NYC
would have traveled
miles.
for airfare from NYC..
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the
new equation would be
Answers
Answer:
The completed statements are:
The y-intercept represents the base price of $200.
The slope represents a cost of 30 cents per mile traveled.
According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their airfare. (y = 200 + 0.30x, where x is the distance traveled in miles)
According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1,000 miles. (500 = 200 + 0.30x, solving for x gives x = 1,000)
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x. (The slope remains the same, while the y-intercept changes to 50.)
Note that the statement "According to the equation given, someone who traveled 2000 miles from NYC would pay $2500 for their airfare" is incorrect. The correct calculation using the given equation y = 200 + 0.30x is:
y = 200 + 0.30(2000) = 800
Therefore, someone who traveled 2000 miles from NYC would pay $800 for their airfare.
