The correct value of the given function at x = 5 is y =3.
What is Equation?An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, the given equation :
y = x - 2
put x = 5 in the given equation, we get
y = 5 - 2
y = 3
Thus, the correct value of the given function at x = 5 is y =3.
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Write down in terms of n, an expression for the nth term of the following sequences:
a) 12 10 8 6 4
b) 25 20 15 10 5
Answer:
The formula for an arithmetic sequence is:
an = a1 + (n - 1)d
In which a1 is the first term and d is the common difference.
a) 12, 10, 8, 6, 4
an = 12 + (n - 1)-2
an = 12 -2n + 2
an = -2n + 14
b) 25, 20, 15, 10, 5
an = 25 + (n - 1)-5
an = 25 -5n + 5
an = -5n + 30
What is the area of the shaded sector of the circle? 9pi units squared 27pi units squared 81pi units squared 162pi units squared
Answer:
27
Step-by-step explanation:
i promise :)
Answer:
27π units^2
Step-by-step explanation:
at what height will the air pressure equal 50%
Answer:
Im pretty sure its C which is 5776.2m
Step-by-step explanation:
Find (gof)(3)
f(x) = x + 21
g(x) = -x²
a. -25
C.
4
b. 1
d. -15
Please select the best answer from the choices provided
A function assigns the values. The value of (gof)(3) is -576.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,
(gof)(x) = g(f(x))
= -(x+21)²
The value of (gof)(3) will be,
(gof)(3) = -(3+21)²
= -576
Hence, the value of (gof)(3) is -576.
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what is an equivalent expression
Answer:
1st option
Step-by-step explanation:
using the rules of logarithms
• log x + log y = log xy
• n logx ⇔[tex]x^{n}[/tex]
given
2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] (9 × 3)
= [tex]log_{2}[/tex] 27
How many sulotions does this system have? 6x-y=-1 6x+y=-1
Answer:
6/6
Step-by-step explanation:
6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.
Answer:
I can give you the answer if you can answer a question
Step-by-step explanation:
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
The required two-column proof is presented as follows;
Statement Reason
∠1 and ∠a are linear pair angles Given
∠1 + ∠a = 180° Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s Definition
x║y Given
∠1 and ∠b are corresponding angles Definition
∠1 ≅ ∠b Corr. ∠s formed between║ lines
∠1 = ∠b Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary Definition
We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.
Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.
Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
4y^4
Step-by-step explanation:
This polynomial is supposed to be ordered:
-3x^4+4y^4+5x^2y^2-10xy^3+9x^3y
I dont totally understand the question but I hope the ordered polynomial helps
y = x2 − 2x − 19
y + 4x = 5
Answer:
(x=4, y=-11) (x=-6, y=29)
Step-by-step explanation:
The solution is in the picture above...
3.5 decimals to mixed numbers
How do you find what exponents of i are? like I know i^2 is -1, but how are you supposed to figure out i^26? do you have to write it all out?
THANK YOU
Answer:
-1
Step-by-step explanation:
so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.
This is why i² = -1
We can find a pattern from writing out a few exponents:
i¹ = i
i² = -1
i³ = -i [(-1)(i)]
i⁴ = 1 [-1 · -1]
------
i⁵ = i [(1)(i)]
i⁶ = -1 [(i)(i)]
i⁷ = -i [(-1)(i)]
i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]
------
i⁹ = i [1 · i]
we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on
26 / 4 = 6 [remainder of 2]
we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1
you can do the same thing for any number
hope this helps!!
Answer:
-1
Step-by-step explanation:
4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1
hope this is helpful :)
Here is a list of numbers: 3.9 , 7 , 3.3 , 1 , 1.4 , 1.7 , 2.1 , 3.3 , 5.2 State the median. Give your answer as a decimal.
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
The median is 3.3Answer:
3.3
Step-by-step explanation:
The first thing you have to do is put them in order from least to greatest.
1, 1.4, 1.7, 2.1, 3.3, 3.3, 3.9, 5.2, 7
Check off one from the left side and one from the right side until you are left with the one in the middle.
When you do that, you are left with 3.3
Select the number sentence that illustrates the associative property of addition.
A.
(2 + 3) + 4 = (3 + 2) + 4
B.
(2 × 3) × 4 = 2 × (3 × 4)
C.
(2 + 3) + 4 = 2 + (3 + 4)
D.
(2 × 3) + 4 = 2 + (3 × 4)
The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
As we know with the help of associative property we can group the terms of addition or multiplication.
a + (b + c) = (a + b) + c
Option (C)
= (2 + 3) + 4
After using the associative property:
= 2 + (3 + 4)
Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
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Which of the following inequalities matches the graph?
graph of an inequality with a solid line through the points 0, negative 2 and 2, 1 with shading above the line
3x − 2y ≥ 4
3x − 4y ≤ 2
3x − 2y ≤ 4
The correct inequality is not listed.
Answer:
The correct option is 3.
Step-by-step explanation:
It is given a graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.
The equation of a solid line is:
[tex]y-y_{1} = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } (x-x_{1})\\ y+2= \frac{1+2}{2-0}(x-0)\\ y+2= \frac{3}{2} x[/tex]
The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.
Check the related equation by point (0,0).
0+2 =[tex]\frac{3}{2}(0)[/tex]
2 = 0
The statement is true if and only if the sign is greater than or equal instead of equal.
The required inequality is
[tex]y+2 \geq \frac{3}{2}x[/tex]
Multiply both sides by 2.
[tex]2y + 4 \geq 3x\\4\geq 3x-2y\\3x-2y \leq 4[/tex]
Therefore option 3 is correct.
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This is the last question PLSSSSS HELP
Answer:
D
Step-by-step explanation:
The volume of a cylinder is pi * r^2 * h
A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2
B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2
C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2
D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2
The dimensions of a cylindrical can of pet food are shown below.
What is the volume of the can, in terms of π?
A
2.25π cubic inches
B
4.5π cubic inches
C
9π cubic inches
D
18π cubic inches
Answer:
4.5 pie cubic inches
Answer:
B. 4.5π cubic inches
Step-by-step explanation:
The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.
[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]
Given: diameter= 3 in, height= 2 in.
Diameter= 2(radius)
r= 3 ÷2
r= 1.5
Substitute the value of r and h into the formula:
Volume of cylinder
= π(1.5²)(2)
= 4.5π in³
Thus, B is the correct option.
Additional:
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https://brainly.com/question/62042731/4+1/10 Add or subtract. Write the answer in simplest form.
Answer:
7/20
Step-by-step explanation:
To add fractions, the first step is to get a common denominator
1/4 + 1/10
The common denominator is 20
1/4 *5/5 = 5/20
1/10 *2/2 = 2/20
5/20 + 2/20 = 7/20
A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800
Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.
How does this equation model the situation?The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.
The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.
Test the other two equations:
x=1:
y = -34(1)² + 334(1) + 1,075
= 1,075
This is too high.
Other equation:
y = 34(1)² - 334(1) + 1,075
= 775
This is close to 800 so this is the best equation.
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What is the area of the triangle pictured?
A. 612 in2
B. 540 in2
C. 555 in2
D. 531 in2
Answer:
D. 531[tex]in^{2}[/tex]
Step-by-step explanation:
I suppose these are rectangles and not triangles.
Area of Rectangle = Length x Breadth
Area of Large Rectangle = 21 x 18
= 378[tex]in^{2}[/tex]
Area of Small Rectangle = 17 x 9
= 153[tex]in^{2}[/tex]
Total Area = Area of Large Rectangle + Area of Small Rectangle
= 378 + 153
= 531[tex]in^{2}[/tex]
Please help me with this thanks!!
Answer:
x° = 47°
Step-by-step explanation:
The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.
78°,55° and x° are interior angles here.
So,
[tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]Solving for x°,
[tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex][tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex][tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]Hence,the value of x° is 47°.
what is the answr to -5(b + 1) = 8
[tex] - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} [/tex]
PLEASE GIVE BRAINLIEST
\\\///\\\///\\\///\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//\\//\\//\\//\\\///\\//\\\///\\\///\\\///\
[tex]\Rsh[/tex] Hey! [tex]\Lsh[/tex][tex]\Rsh[/tex]Let's solve this! We can do this! [tex]\Lsh[/tex]
>>> First, let's multiply -5 by b and 1. Then we obtain
[tex]\pmb{-5b-5=8}[/tex].
>>> Now we add 5 to both sides.
[tex]\pmb{-5b=13}[/tex]
>>> And then, divide both sides by -5.
[tex]\pmb{b=-\dfrac{13}{5}}[/tex]
>>> That is the value of b.
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Hope the answer - and explanation - assisted you!
Happy studies! :)
Explain how to find the average rage of change for a function over a given interval.
The average rate of change for a function over an interval is the slope
How to explain the steps?Take for instance, we have the function to be
Function f(x)
And the interval is (a,b)
The average rate of change for the function over the interval is
Rate = (f(b) - f(a))/(b - a)
The above represents the slope
Take for instance, we have:
f(x) = x^2 [2, 4]
We have:
f(2) = 2^2 = 4
f(4) = 4^2 = 16
So, we have:
Rate = (16 - 4)/(4 - 2)
Rate = 6
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Suppose a deposit of $ 2 , 000 in a savings account that paid an annual interest rate r (compounded yearly) is worth $ 2 , 209 after 2 years. using the formula a = p ( 1 + r ) t , we have 2 , 209 = 2 , 000 ( 1 + r ) 2 solve for r to find the annual interest rate (to the nearest tenth).
Answer:
5.1% (nearest tenth)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $2,209P = $2,000t = 2 yearsSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 2209=2000\left(1+r\right)^{2}[/tex]
[tex]\implies \sf \dfrac{2209}{2000}=(1+r)^2[/tex]
[tex]\implies \sf 1.1045=(1+r)^2[/tex]
[tex]\implies \sf \sqrt{1.1045}=1+r[/tex]
[tex]\implies \sf r = \sqrt{1.1045}-1[/tex]
[tex]\implies \sf r = 0.05095194942...[/tex]
[tex]\implies \sf r = 5.095194942...\%[/tex]
Therefore, the annual interest rate is 5.1% (nearest tenth)
Points Z, L, and S are:
Points Z, L, and S are collinear points
How to determine the relationship?When 2 or more points are on a line, the points are said to be collinear.
From the figure, we have:
Points Z, L and S on the same line
This means that they are collinear points
Hence, points Z, L, and S are collinear points
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If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply both sides by 9 to clear the fraction )
9(y + 2) = x
9y + 18 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 9x + 18
Answer: A
Step-by-step explanation:
GOT IT RIGHT ON EDG TEST
A local mechanic on average services 14 cars a week. How many cars does he service in 4 years
The price of a computer at an electronics store is $1200. If the store gives an "End of the year Sale"
discount of 20%, how much Mark needs to pay to buy the computer?
Answer:
$960
Step-by-step explanation:
The discount is 20%, so we need to find 80% of the original price:
[tex].80 \times 1200 = 960[/tex]
15.95 to the nearest cent
Step-by-step explanation:
95 95 branded to the nearest 10 with the number line
deter determine the two constructive multiples of 10 that bracket 95
9 is between 90 and 100
asteroid on the number line 95 is the midpoint between the 90 and 100
therefore 95 rounding to the nearest 10 is equal to 100
Hurrry 100 points both in elimination solving show your work
1) 7x - 9y =-30
-3x - 6y = 3
2) 3x +2y =9
2x +6y=6
Answer:
2
Step-by-step explanation:
6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.
Answer:
[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]
Step-by-step explanation:
[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]
24. Kyla has 2/7the amount of cherries that Denise has. If Kyla has 46 cherries, how many cherries do they have altogether
Answer:
207
Step-by-step explanation:
Denise has 46(7/2) = 161 cherries.
So, they have a total of 161 + 46 = 207 cherries
