For the functions f(x)=6x−4 and g(x)=2x2+5, find (g∘f)(x).
Answers
Answer:
72x^2-96x+37
Step-by-step explanation:
Related Questions
Uma atleta percorreu cinco oitavos de uma pista e ainda precisa percorrer 75 quilômetros para completar seu percurso . Quantos quilômetros a atleta percorrerá no total?
Answers
Answer:
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
Step-by-step explanation:
She will run x kilometers.
She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.
So
[tex]\frac{5x}{8} + 75 = x[/tex]
[tex]x - \frac{5x}{8} = 75[/tex]
[tex]\frac{8x - 5x}{8} = 75[/tex]
[tex]3x = 8*75[/tex]
[tex]x = \frac{8*75}{3}[/tex]
[tex]x = 200[/tex]
The athlete will run 200 kilometers.
A atleta percorrerá 200 quilômetros no total.
The vertices of a quadrilateral are M(-4,2), N(6,2), P(6, -4), and Q(-4,-4). graph the quadrilateral. Then find the perimeter and area.
im timed and need help please THIS IS MY LAST EXAM
Answers
Answer:
P=32
A=60
Step-by-step explanation:
If you ever need to graph something quickly I recommend using Desmos (it's an online graphing calculator).
The sides end up looking like this: [tex]l=10, w=6[/tex]
Perimeter is [tex]2l+2w=2(10)+2(6)=20+12=32[/tex]
Area is [tex](10)(6)=60[/tex]
good luck!
A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer.
Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer.
Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the Alpha = .05 level? (Use 2 decimal places.)
Tar Level Frequency
a. 0-7 107
b. 8-14 375
c. 15-21 500
d. 22 181
x2 =
Answers
Answer:
Check the explanation
Step-by-step explanation:
[tex]H_0[/tex]:proportion of male smoker lung deaths is same for the four given tar level categories.
[tex]H_1[/tex]:proportion of male smoker lung deaths is not the same for the four given tar level categories.
Expected frequency=1177/4=294.25
Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E
0-7 107 294.25 120.435
8-14 375 294.25 5.643
15-21 553 294.25 227.533
>=22 183 294.25 42.061
Total= 1177 1177 395.673
Total chi square score=395.673
df=4-1=3
p-value=CHIDIST(395.673,3)<0.001
p-value<0.001,Reject null hypothesis.
There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.
The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 77% say they are very satisfied. We want to decide if the 77% is enough evidence to lead us to accept or reject the CEO’s claim?
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Answer:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:[tex]p\leq 0.75[/tex]
Alternative hypothesis:[tex]p > 0.75[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
what is
225x2 + 4 = 0
Answers
la respuesta es 454 espero que te haya ayudado aunque sea un poquito :D
You ordered some eatables. If c represents
the cost of one cookie and p is the cost of one
pizza. Write an expression for the total cost
of 14 cookies and 10 pizzas.
I
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Answer:
Total Cost = 14c + 10p
Step-by-step explanation:
Answer:
14c+10p= the total cost
6 to the power of 3 +7 times 4
Answers
Answer:
892
Step-by-step explanation:
Please help!!! I’ll mark the first answer, brainliest!! :,(((
Answers
Answer:
I'm sorry but idk. .......................
Answer:
Point C' coincides with point E.
point D' coincides with point F.
Step-by-step explanation:
Find the value of angle O in triangle ΔBOC where O is the center of the hexagon. Once you find it, devide it by the total value of counterclockwise rotation (240°) to find how many times the point labaled C moves to the left. The value of angle O in triangle ΔCOD is the same as the value of angle O in triangl we ΔBOC, so the amount that point D moves to the left is the same.
Find the value of each unknown variable in the given figures ?
Answers
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
Determine which consecutive integers do not have a real zero of f(x) = x^3 + 9x^2 + 8x – 5 between them.
A.) (–8, –7)
B.) (4, 5)
C.) (0, 1)
D.) (–2, –1)
Answers
Answer:
Option B (4,5)
Step-by-step explanation:
The integers (4, 5) do not have real zero.
What is zero of a function?Knowing what zeros represent can assist us in determining when and how to locate the zeros of functions given their expressions and a function's graph. The value of x when the function itself reaches zero is typically referred to as a function's zero.
A function's zero can take many different forms, but as long as they have a y-value of zero, we will consider them to be the function's zero.
Given Expression
f(x) = x³ + 9x² + 8x - 5
to find which is not a real zero,
condition of real zero is for any function f(a , b) if f(a).f(b) < 0 the function have at least a zero.
1: (-8, -7)
f(-8).f(-7) = [(-8)³ + 9(-8)² + 8(-8) - 5][(-7³) + 9(-7)² + 8(-7) - 5]
f(-8).f(-7) = (-5)(37)
f(-8).f(-7) = -185 < 0 points have at least a zero
2: (4, 5)
f(4).f(5) = [(4)³ + 9(4)² + 8(4) - 5][(5³) + 9(5)² + 8(5) - 5]
f(4).f(5) = 235 x 385
f(4).f(5) = 94,475 > 0
points do not have any zeros
3: (0, 1)
f(0).f(1) = [(0)³ + 9(0)² + 8(0) - 5][(1³) + 9(1)² + 8(1) - 5]
f(0).f(1) = -5 x 13
f(0).f(1) = -65 < 0
points have a zero
4: (–2, –1)
f(-2).f(-1) = [(-2)³ + 9(-2)² + 8(-2) - 5][(-1³) + 9(-1)² + 8(-1) - 5]
f(-2).f(-1) = 7 x (-5)
f(-2).f(-1) = -35 < 0
points have a zero
Hence only point (4, 5) do not have a zero.
Learn more about zero of a function;
https://brainly.com/question/16633170
#SPJ5
A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?
Answers
Answer:
60 km/h
Step-by-step explanation:
The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...
speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h
The average speed for the journey is 60 km/h.
The design for a playground is represented on the coordinate plane below, where the units are in yards.
A fence will be built around the perimeter of the entire playground.
How many yards of fencing will be needed to build the fence?
Answers
Answer:
The perimeter of the field is 21 yards
Step-by-step explanation:
See attachment 1 for the coordinates plane.
The question is best solved using an attachment.
To calculate the perimeter of the fence, we simply add the sides of the rectangle.
Attachment 2 is a labelled diagram of attachment 1.
From 2, we have that
Perimeter = A + B + C + D + E + F
Where A to F represent the length of each sides of the fence
From coordinates geometry,
A = 5
B = 4
C = 6½
D = 1½
E = 1½
F = 2½
So,
Perimeter = 5 + 4 + 6½ + 1½ + 1½ + 2½
Perimeter = 21
Hence, the perimeter of the field is 21 yards
Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?
Answers
Answer:
(-2.25, 1.5)
Step-by-step explanation:
If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:
P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)
P' = (-2.25, 1.5)
SOLVE 3/4 +(1/3/1/6) -(1/2)
Answers
Answer:9/4
Step-by-step explanation:
3/4 + (1/3/1/6) - (1/2)
3/4 + (1/3 ➗ 1/6) - 1/2
3/4 + (1/3 x 6/1) - 1/2
3/4 + ((1x6)/(3x1)) - 1/2
3/4 + (6/3) - 1/2
3/4 + 2 - 1/2
(3+8-2)/4
9/4
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answers
Answer:
D. 96
F. 32
Step-by-step explanation:
The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is greater than 96. So to figure this out, you must plug in the numbers given for x, like so:
3x ≥ 96
A. 3(31) ≥ 96
93 ≥ 96 This is incorrect since 93 is not greater than 96
A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:
D. 3(96) ≥ 96
288 ≥ 96 This inequality is correct
F. 3(32) ≥ 96
96 ≥ 96
The inequality sign states that the number must be either greater or equal to 96, which it is.
Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
Answers
Answer:
It would be 2 x the absolute value of the y coordinate.
Step-by-step explanation:
Example:
(5,-3)
Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.
A rectangular prism is cut diagonally, resulting in the creation of two triangular prisms. What is the two-dimensional shape resulting from this cut?
Answers
Answer:
A rectangle
Step-by-step explanation
Cutting the rectangular prism diagonally will result in the creation of two triangular prisms taking the two dimensional shape of a rectangle as its cross section.
Diagonal cutting means cutting that passes from the top edge of cuboid to edge on the bottom on opposite sides. This way, a rectangular two dimensional shaped cross section is formed
Answer:
circle, rectangle
Step-by-step explanation:
Find the volume of the prism shown below if the height is 3 inches
Answers
How am I supposed to be able to answer a question without the info
Answer:
Find the volume of the prism shown below if the height is 3 inches.
Step-by-step explanation:
what is the solution to this system?
Answers
Suppose that there is a 6-sided die that is weighted in such a way that each time the die is rolled, the probabilities of rolling any number from 1 to 5 are equal, but the probability of rolling a 6 is twice the probability of rolling a 1. What are the probabilities of the 6 outcomes? What is the probability that the first roll will be an odd number and the second roll will be an even number?
Answers
Answer:
Probabilities:
1-5:1/7
6: 2/7
Probability of even number: 4/7
Probability of odd number: 3/7
Step-by-step explanation:
We are told that the probability in each throw is as follows. Probability of getting 1 to 5 is the same and the probability of 6 is twice the probability of getting 1. Let us call c the probability of having a 1. So, the probability of having 2,3,4,5 is also c. In this case, the probability of having 6 is 2*c. Since all of this outcomes are mutually exclusively, then we must have the following
[tex] c+ c + c+ c +c + 2c = 1= 7c[/tex](since the probabilities of mutually exclusive events that cover all outcomes of the experiment must add to 1)
This implies that [tex]c = \frac{1}{7}[/tex]. Then, the probability of having a 6 is 2/7 and to have any other number is 1/7.
Each roll is independent of each other, so the probability of having an odd or even number doesn't depend of the other trials.
To calculate the probability of having an even number, we add the probabilties of getting a 2,4,6. In this case, that is 1/7+1/7+2/7 = 4/7. To calculate the probability of an odd number we add the probabilities of 1,3,5 which 1/7+1/7+1/7 = 3/7.
what is the area of a circle with the equation (x − 6)² + (y + 2)² = 17 ?
Answers
Answer:
17π
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
Area of a circle is:
A = πr²
r² = 17, so A = 17π.
what is the area of the triangle shown below?
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Answer: Please provide the triangle
i don't really understand this yet, could someone please help?
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Answer:
maybe show me a picture of what u want me to help u with and then Ill answer it
How do you describe the translation (x, y) → (x + 3, y - 7) in words?
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Answer:
You move right 3, and down 7
While waiting in line for the roller coaster, you were listening to the ride attendant tell the riders how the track is 1456 feet long and lasts 112 seconds from the beginning to the end. What is the average speed of the roller coaster in feet per second?
First to answer gets brainiest!
Answers
Answer:
13ft a second it's just a an average it the feet divided by the time by 2
If u(x)=-2x^2+3 and v(x)=1/x, what is the range of (uov)(x)
Answers
Answer:
Do my question i will do yours
Step-by-step explanation:
Answer:
The Answer is C
Step-by-step explanation:
There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?
Answers
Answer:
3/8
Step-by-step explanation:
add 5+1+3=9
and there is 3 cheese pizza so its 3 over 8.
Answer:
3/9
Step-by-step explanation:
Calculate the volume of the pyramid.
4cm
Base = 35cm
Enter your math answer
Answers
Answer:
V = 46.67cm²
Step-by-step explanation:
[tex]V=\frac{lwh}{3}[/tex] Use this equation to find the volume of the pyramid
[tex]V=\frac{35*4}{3}[/tex] Multiply in the numerator
[tex]V=\frac{140}{3}[/tex] Divide
V = 46.67cm²
If this answer is correct, please make me Brainliest!
Math Help!!! ASAP!! I will give you brainliest!!
Answers
Answer:
Step-by-step explanation:
true true false
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 2 1/3 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answers
Answer:
about 27.42
Step-by-step explanation:
