Answer: [tex]5x^{2}-4[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)=4x^{2}+1+x^{2}-5=\boxed{5x^{2}-4}[/tex]
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Use the graph or table to find the equation that represents the relationship.
please HELP!!!!!!
100 points and a Brainliest if your answer is clear and correct
#1
(5,-10)(10,-25)Find slope
m=-25+10/10-5m=-15/5m=-3y=-3x+5 is the equation as there is no other having slope -3
#2
(7,3)(1,-3)slope
m=-3-3/1-7m=-6/-6m=1y=x-4 as no other have slope m
#3
(0,-1)y intercept is -1
y=2x-1 is the equation as it has y intercept -1
#4
(0,-4)y intercept is -4
y=4/5x-4Question 1 of 10
Solve the rational equation:
2x/ x - 3 = 3x/ x - 2
Select the correct answer.
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?
OA. The lines in a system cannot be parallel.
There are infinitely many solutions.
B.
OC. There is exactly one solution.
D. There is no solution.
Reset
Next
Answer:
Look below!
Step-by-step explanation:
From the picture, the answer is A.
From the points, calculate the slope using y2-y1/x2-x1
you will find that the slope is -1
parallel lines have the same slope
so y = -x+1 is the correct answer
now,
parallel lines never intersect
therefore, they have no solution.
Evaluate tan5π. 0 1 -1 undefined
Step-by-step explanation:
[tex] = \tan(5\pi) [/tex]
[tex] = \tan(\pi + 4\pi) [/tex]
[tex] = \tan(\pi) [/tex]
[tex] = \tan(180 \degree) [/tex]
[tex] = 0[/tex]
The answer is A.
Given A(-2, 5) and B(13, -7), find the midpoint of AB.
Select one:
a. (-2, 11)
b. (5.5, -1)
c. (11, -2)
d. (-1, 5.5)
[tex]\left(\frac{-2+13}{2}, \frac{5-7}{2} \right)=\boxed{\left(5.5, -1)}[/tex]
Factor the binomial expansion. 81x4 – 648x3 + 1,944x2 – 2,592x + 1,296
Answer:
[tex]648[/tex]([tex]x^{3} + 3x^{2} - 4x + 2[/tex])
Step-by-step explanation:
When factoring an expression like this, you need to divide all of the parts by a common number or variable. In this case, the only thing all of these numbers share is that they are divisible by 648. So, you would divide each number by 648 to simplify it, getting 1, 3, 4, and 2. Put these numbers in front of their respective variables, and put 648 outside of the parentheses to get the final answer.
Answer:
(3x – 6)4
Step-by-step explanation:
Including jose, there are 8 people in his family
If order matters, how many ways can he arrange his family members into a row of 5 seats if jose must sit in the first seat?
The number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The number of ways Jose can make his family sit is,
Number of ways = number of ways people can sit on the first sit × number of ways people can sit on the second sit × number of ways people can sit on the third sit × number of ways people can sit on the fourth sit × number of ways people can sit on the fifth sit
Since Jose wants to sit on the first seat there are only options for the first seat, therefore,
Number of ways = 1 × 7 × 6 × 5 × 4 = 840
Hence, the number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.
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Is 9.3 X 100^9 in scientific notation
Answer:
No.
Step-by-step explanation:
This problem in scientific notation would be 9.3 * 10^10.
A company makes Citi bikes. 95% (i.e., 0.95) pass final inspection. Suppose that 5 bikes are randomly selected. ( use binomial distribution formula ) do I need to use a factorial symbol V! When showing steps by step
a) What is the probability that exactly 4 of these 5 sports bikes pass final inspection?
b) What is the probability that less than 3 of these 5 sports bikes pass final inspection?
I got disconnected with my tutor
Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.2036 = 20.36%.
b) 0.0011 = 0.11%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
p = 0.95, n = 5.
Item a:
The probability is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.95)^{4}.(0.05)^{1} = 0.2036[/tex]
Item b:
The probability is P(X < 3), hence:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} \approx 0[/tex]
[tex]P(X = 1) = C_{5,1}.(0.95)^{1}.(0.05)^{4} \approx 0[/tex]
[tex]P(X = 2) = C_{5,2}.(0.95)^{2}.(0.05)^{3} = 0.0011[/tex]
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0011 = 0.0011.
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a² + b² + ab = 7
b² + c² + bc = 21
a² + c² + ac = 28 ab + bc + ac = ?
Answer:
ab+bc+ac = 7+21 + 28 =56
so the answer is 56
Observe that
[tex]a^2 + b^2 + ab = 7 \iff a^2 + b^2 - 2\cos(120^\circ) = \left(\sqrt 7\right)^2[/tex]
[tex]b^2 + c^2 + bc = 21 \iff b^2 + c^2 - 2\cos(120^\circ) = \left(\sqrt{21}\right)^2[/tex]
[tex]a^2 + c^2 + ac = 28 \iff a^2 + c^2 - 2\cos(120^\circ) = \left(\sqrt{28}\right)^2[/tex]
Drawing a comparison to the law of cosines, we see the first equation defines a triangle with sides [tex]a[/tex], [tex]b[/tex], and [tex]\sqrt 7[/tex]; the second equation defines one with sides [tex]b[/tex], [tex]c[/tex], and [tex]\sqrt{21}[/tex]; and the third equation defines another one with sides [tex]a[/tex], [tex]c[/tex], and [tex]\sqrt{28}[/tex]. We can then join these triangles at a point D to form a new triangle ABC with sides [tex]\sqrt7,\sqrt{21},\sqrt{28}[/tex]. (See attached sketch)
Now, the area of ABC is the sum of the areas of ABD, BCD, and ACD. The area of any of these triangles is equal to half the area of a parallelogram spanned by the sides involving the vertex D. The area of a parallelogram with adjacent sides [tex]x[/tex] and [tex]y[/tex] and with angle [tex]\theta[/tex] between them is [tex]ab\sin(\theta)[/tex].
For example, triangle ABD has area
[tex]\mathrm{area}_{\Delta ABD} = \dfrac12 \times ab \sin(120^\circ)[/tex]
Then the total area of triangle ABC is
[tex]\mathrm{area}_{\Delta ABC} = \dfrac12 \sin(120^\circ) (ab + ac + bc)[/tex]
We use Heron's formula to find the area of ABC. If [tex]s[/tex] is its semiperimeter, i.e.
[tex]s = \dfrac{\sqrt7 +\sqrt{21} + \sqrt{28}}2[/tex]
then, with a lot of algebraic simplification,
[tex]\mathrm{area}_{\Delta ABC} = \sqrt{s (s-\sqrt7) (s - \sqrt{21}) (s - \sqrt{28})} = \dfrac{7\sqrt3}2[/tex]
Finally, we find
[tex]\dfrac{7\sqrt3}2 = \dfrac12 \sin(120^\circ) (ab + ac + bc) \implies ab + ac + bc = \dfrac{\frac{7\sqrt3}2}{\frac12\times\frac{\sqrt3}2} = \boxed{14}[/tex]
9. What is the exact circumference of a circle that has a radius of 5 cm?
25ncm
5псм
10Kcm
100псм
Answer:
10π cm
Step-by-step explanation:
c = 2πr
c = (2*5) * π
c = 10π
Please help !!! I will give 20 points to the correct answer !!! Thanks so much
Answer:
x=-4,8
Step-by-step explanation:
To solve this, we can take the absolute value sign off -4x+8 and make the right side ±24. This makes the equation -4x+8=±24.
Simplifying, we have
[tex]-4x=\pm24-8\\x=\frac{\pm24-8}{-4} \\x=\frac{+24-8}{-4}, \frac{-24-8}{-4} \\x=-4, 8[/tex]
Suppose that we agree to pay you 7¢ for every problem in this chapter that you solve correctly and fine you 6¢ for every problem done incorrectly. If at the end of 26 problems we do not owe each other any money, how many problems did you solve correctly?
Answer:
I solved 26 problems correctly.
A class of 32 students contains 15 boys.
Twenty of the students walk to school each
day. Eight of the girls do not walk to school.
How many boys walk to school each day?
Answer:
11 boys walk to school each day
Step-by-step explanation:
*The following will be assumed: the only genders of students in the class are male or female; the only options for getting to school are walking or not walking
If there are 32 students in the class total, and there are 15 boys,
32 - 15 = 17
there are 17 girls.
If 8 of these girls do not walk to school,
17 - 8 = 9
9 girls walk to school
So, if 20 total students walk to school, and 9 of those are girls
20 - 9 = 11
11 boys walk to school each day.
Answer:
11
Step-by-step explanation:
a single card is drawn from a standard 52-card deck calculate the probability and odds for the following event a jack or club is drawn
17/52
Step-by-step explanation: There are 13 clubs in a deck of fifty-two cards and there are four jacks in a fifty-two deck. So adding that up it's 17 out of 52 = 17/52. And you can not reduce it.
I need help with this question
solve the compound inequality -5<4x+3<=8
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a< b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
We are given
-5 < 4x+3 ≤ 8
⇒ (add -3 to all sides to get ) -5+(-3) < 4x+3+(-3) ≤8+(-3)
⇒-8 < 4x ≤ 5
⇒[tex]\frac{-8}{4} < x \leq \frac{5}{4}[/tex]
⇒-2<x<5/4
Hence, the solution is -2<x<5/4.
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With the information given, can you prove this quadrilateral is a parallelogram?
Could someone help me with this problem? I'm not sure if those lines are parallel, congruent, or both, because there are two arrows on each line instead of one.
Will give Brainliest for the best answer.
Answer:
it it a parallelogram
Step-by-step explanation:
it has 2 sets of 2 parallel lines
With the information given, we can not prove this quadrilateral is a parallelogram. Explanation is given.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
In order to prove, quadrilateral is a parallelogram:
We can prove either one of these following method;
1. Establish the congruence of the two pairs of opposing sides.
2. Show that the two opposing side pairs are parallel.
3. Show that one pair of opposed sides is parallel and congruent.
Here, we have AB = CD
And we have line AD and BC.
Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
AD and BC are at equal distance.
That means, AD II BC.
And to solve further, we do not have any statements.
Therefore, with given information, we can not prove this quadrilateral is a parallelogram.
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In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them
play baseball. There are 5 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
Answer:
.7692307692 or 10/26
Step-by-step explanation:
You solve this problem by finding the total number of sports playing students and dividing it by the total, in this case 26. Since we know there are 5 students that play both sports, you subtract that 5 from the total number of basketball plyers and baseball players, so 16-5=11 and 9-5=4, then add those together, so 11+4=15. From there you add back in the students that play both which is 5, so 15+5=20. 20/26 is your answer.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
83 ⁰
to
59°
The value of x is 38 degree.
What is a Triangle ?A triangle is a polygon with three sides , three angles and three sides .
The sum of all angles in a triangle is equal to 180 degree
The angles of the triangle given are
83 degree and 59 degree and x degree
83 + 59 + x = 180
x = 38 degree
Therefore the value of x is 38 degree.
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There are nine baseball players in the cafeteria The number of baseball players is one less than twice the number of golfers find the number of golfers
Using a system of equations, it is found that the number of golfers in the cafeteria is of 5.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of baseball players.Variable y: Number of golf players.The number of baseball players is one less than twice the number of golfers, hence:
x = 2y - 1.
Since x = 9:
9 = 2y - 1
2y = 10
y = 5.
There are 5 golfers in the cafeteria.
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What should you substitute for y in the second equation (bottom equation) in order to solve the system by the substitution method?
Answer:
C. 3x - 9
Step-by-step explanation:
3x – y = 9 ___(1)
8x – 4y = 0 ___(2)
From (1) eq.
3x – y = 9
– y = 9 – 3x
y = - (-3x + 9)
y = 3x – 9
Hence, 3x - 9 should be substituted in the second equation to get the required answer.
Answer:
c
Step-by-step explanation:
solve for y in the first equation
y = 3x - 9
when you substitute, you will get a value of 9 for x and 18 for y
A hostel has food for 60 days if after 15 days 500 more students joined th hostel and the food lasted for 40days only. How many students were there in hostel
Answer:
625
Step-by-step explanation:
here we are in an inverse proportion situation :
As the number of days increases
when the number of students decreases and vice versa.
__________________
Say n is the original number of students.
___________________________________________
After 15 days, the rest of food is enough for n students for 45 days,
or enough for n+500 students for 25 days.
Then
45n = 25×(n + 500)
Then
45n = 25n + 25×500
Then
45n - 25n = 25×500
Then
20n = 12500
Then
n = 12500÷20
= 625
and thus , there were 625 students in the hostel.
(9x³+5)/(2x - 3)
How do I divide these using long division
(9x³+5)/(2x - 3)
split up (9x³+5)
9x³/2x-3 + 5/2x-3
attached solution.
Suppose that land in downtown Savannah is valued at $20 per square foot. What is
the value of a triangular lot with side lengths of 112, 148, and 190 feet?
Answer:
$165554
Step-by-step explanation: I use the Law of Cosines to find one of the angles of the triangle. Then use the formula for the area of the triangle: A = (1/2)absinC.
C= 92.856 degree
Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2
To find the price just need to take 8277.7 time 20 = 165554
So the answer is $165554
A trapezoid is a quadrilateral with one or more pairs of parallel sides.
O A. True
OB. False
Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
a supermarket display consists of boxes of cereal. the bottom row has 23 boxes. each row has three fewer boxes than the row below it. the display has six rows.
Answer:
93 boxes
Step-by-step explanation:
sixth row has 23 boxes
fifth row has 20 boxes
fourth row has 17 boxes
third row has 14 boxes
second row has 11 boxes
first row has 8 boxes
the total is thus 23+20+17+14+11+8=93
What is f(0)?
O 0 only
O -6 only
O -2, -1, 1, and 3 only
O -6, -2, -1, 1, and 3 only
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given graph, the value of f(0) means the value of function when the value of x is 0. Thus, when the graph intersect with the x-axis is the value of f(0), therefore,the values of f(0) are -2, -1, 1, and 3 only.
Hence, the correct option is C.
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