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Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
In a sample of 310 people, 186 completed only high school, 24 completed only some college, 93 completed a two-year or four-year college, and 7 attended graduate school. What proportion of the sample does not have a two-year or four-year college degree
Answer:
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
Step-by-step explanation:
Sample of 310 people.
186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.
So
[tex]p = \frac{186+42}{310} = 0.7355[/tex]
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
Please please give answer , the numbers on the side are the options
Answer:
24 tiles (none of the options given is correct)
Step-by-step explanation:
Number of tiles required to floor the room = area of the room/area of 1 tile
Area of the room = 36m * 24m = 864 m²
Area of 1 tile = 6² = 36 m²
Number of times required = 864/36 = 24 tiles
This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.
How many people ride a bike to the city park?
8 people
20 people
25 people
32 people
Answer:
20 people
Step-by-step explanation:
i did the test <3
sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
[tex]Suppose~the~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=-17...........(1)\\From~the~second~condition,\\x-y=41.............(2)\\Adding~eq^n(1)~and~eq^n(2),~we~get,\\x+y+x-y=-17+41\\or, 2x = 24\\or, x=12\\Substituting~x=12~in~eq^n(2),\\y = -17-x = -17-12 = -29[/tex]
[tex]So,~the~two~numbers~are~12~and~-29.[/tex]
The larger of two numbers on three times the smaller. if the sum of the two numbers is 36 find the number?
Answer:
9 and 27
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is three times the smaller.
Larger number = 3x
ATQ,
x+3x = 36
4x = 36
x = 9
Smaller number = 9
Larger number = 3x = 3(9) = 27
So, the numbers are 9 and 27.
their how much will they pay ifame lasts for 4 hours 6 hours or 8 hours
Answer:
There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:
A Mater Exam
Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
Enter your answer here
Please select file(s)
Select file(s)
Answer:
The slope of the perpendicular line to the line is
m = [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
Step(ii):-
The slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
The slope of the perpendicular line = [tex]\frac{-1}{2}[/tex]
What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?
I know that 166-46 is 120 but i get stuck on the distributive property part. I end up with 8z-2. Also I will give brainliest.
Answer:
2(4z − 3 − 1) = 166 − 46
8z − 6 − 2 = 120
8z − 8 = 120
8z = 128
z = 16
pls give the brainliest
Step-by-step explanation:
Answer:
Step-by-step explanation:
you have to multiply 2(4z - 3 - 1 ). so 2 * 4z = 8z. so then you would do 2 * (-3) = -6. then you would do the same with -1. 2* (-1) = -2.
now you have to put it back in equation form. 8z - 6 - 2 = 166 - 46. now you have to combine like terms. -6-2 = -8. 166 - 46 = 120. and then put it back into equation form. 8z - 8 = 120. then you add 8 to 120. 120+8 = 128. now to find z all you have to do is divide 128/8 = 16
z = 16
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
Help me pls I don't know what I'm doing
Answer:
B. 3.6
Step-by-step explanation:
I have no idea if this is right but my logic is 3.6 - 3.6 = 0
Answer:
B. 3.6
Step-by-step explanation:
The equation is
w - 3.6 = 0
That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.
That is the explanation.
The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.
w - 3.6 = 0
Add 3.6 to both sides.
w - 3.6 + 3.6 = 0 + 3.6
w = 3.6
Answer: B. 3.6
A newsletter publisher believes that less than 25% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim
Answer:
There is enough evidence at the 0.05 significance level that the percentage is less than 25%.
Step-by-step explanation:
The question has no options. However, there are enough details to arrive at a conclusion.
Required
What can we conclude about the claim of the publisher.
From the question, we understand that the null hypothesis is rejected.
In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.
In this case, the determined value 25% and the level of significance is 0.05
So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.
Last year, Gareth paid £e each month for electricity. This year his monthly payment went down. His total bill for the first 5 months is given by the expression £5e – 35. Factorize 5e – 35.
Answer:
5(e-7)
have a nice day mate
Will make 1st answer brainleist
Answer:
3.1
Step-by-step explanation:
Answer:
3.1
Step-by-step explanation:
4.7(5) - 6.8(3) =
23.5 - 20.4 =
3.1
en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?
Answer:
Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.
Step-by-step explanation:
lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar
Which of these expressions are equivalent to 225 3/2? Select all that apply.
Answer:
C.
Step-by-step explanation:
it could also be written as (sqrt225)^3
C is correct because sqrt225 is equivalent to 225^1/2
using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2
Answer and solution plse :)
Answer:
there are 8 prime numbers.
Answer:
B) 6
answer is b (6)
7,17,37,67,97,47
A deck crane is used to lift very heavy objects
and can rotate 360°. Its working radius is 28
meters. What is its working diameter?
Answer:
56 meters
Step-by-step explanation:
diameter = 2(radius)
2 x 28 = 56
Solve the Antiderivative.
b. Find the value of x below:
Answer: 5
Step-by-step explanation: it is a supplementary angle so it has to add up to 80
Answer:
5
Step-by-step explanation:
line = 180
therefore 15x + 5 + 100= 180
15x + 105 = 180
15x = 180 - 105
15x = 75
x = 75/15
x = 5
HOPE THIS WILL HELP!
Type the ordered pair for each vertex below
Fission reactions release ______ fusion reactions.
A. more energy than
B. less energy than
C. the same amount of energy as
Step-by-step explanation:
b less energy than Fusion reactions
what is 893 :9 in long division
The four corners of a square are located at (-7, -2), (-7,5), (0,5), and (0, -2). What is the perimeter of the square?
A. 14 units
B. 21 units
C. 28 units
D. 49 units
Answer:
A)14 Units is the answer for this question
but check it
lets simplify
a. 4x²×3x
_____
6x²
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Find the value of x.
х
50°
The unknown value of x from the diagram is 80 degrees.
The given diagram is an isosceles triangle.
The base angle of an isosceles triangle are equal
The sum of angle in a triangle is also 180 degrees. Hence:
x + 50 + 50 = 180
x + 100 = 180
Subtract 100 from both sides
x + 100 - 100 = 180 - 100
x = 80 degrees
Hence the unknown value of x from the diagram is 80 degrees.
Learn more here: https://brainly.com/question/21680544
PLEASE HELP! URGENT
50°
Step-by-step explanation:
notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°
Arrange to Least to Greatest:
1.4, 0, 0.14, 1/4, 1, -1/4
Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.
What is the value of x?
3
4
6
8
You have a data set with a Gas Price variable. It lists the price of a gallon of regular gasoline at a randomly selected 100 gas stations around the country in a particular week. You calculate a 95% confidence interval for the mean of Gas Price, and it turns out to be $2.43 plus or minus $0.16. Which of the following most closely reflects what you can conclude? a. If your sample size had been 400, and you had observed the same sample mean but a sample standard deviation twice as large as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. c. If you had observed the same sample mean and sample size, but a sample standard deviation twice as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.24. d. If you had observed the same sample mean and sample size, but a sample standard deviation half as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.04.
Answer:
b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample mean plus minus the margin of error.
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.
In this question, we have that:
95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.
Option A:
Sample size of 400, which is four times the original, while the standard deviation is twice the original.
This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.
Option B:
Sample size of 400, which is four times the original, while the rest is the same.
The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.
Option C:
In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.
Option D:
In this case, the margin of error will be halved, since the standard deviation is half the original. So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.
