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3 years ago

If f(x)=x-7 and g(x)=x^3, what is G(f(x))?

Mathematics

2 answers:

lesya692 [45]3 years ago

8 0

Replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) = (x-7)^3

Its D

Dovator [93]3 years ago

3 0

Answer:

D. $(x-7)^3$

Step-by-step explanation:

Given functions are,

$f(x) = x-7-----(1)$

$g(x)=x^3-----(2)$

Now,

$g(f(x))=g(x-7)$ ( From equation (1) ),

$=(x-7)^3$ ( From equation (2) ),

$\implies g(f(x)) = (x-7)^3$

Hence, Option D is correct.

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Jordan throws a ball from a cliff 12 feet above the ground with an initial velocity of 32 feet per second. In the following func

lbvjy [14]

Answer:

Your answer will be the third function

Step-by-step explanation:

The base function you need to know is h(t)= 1/2at^2

Your acceleration in this problem is going to be gravity which they give to you, 32 feet per second squared. Since the ball is falling, it means it will have negative acceleration. Now you have the equation h(t)= -16t^2. The final step is to add the initial height from which the ball was dropped giving you: h(t)= -16t^2 +12

8 0

3 years ago

Is the number of points scored during a basketball game a discrete random variable, a continuous random variable, or not a ran

monitta

Answer: Option (B) is correct.

Step-by-step explanation:

The number of points scored during a basketball game is a discrete random variable.

Discrete Random variable:

A discrete random variable is a variable whose value can be evaluated by counting. It is also referred as a countable and finite values. Examples of discrete random variable are as follows:

-The quantity of runs scored during a ball game

- Number of hits a site gets during seven days

- Number of lights that wear out in the following year in a stay with 13 bulbs

- Number of pigeons in a city

- Number of free-toss endeavors before the principal shot is missed

3 0

3 years ago

Read 2 more answers

Write an equation and solve for x. Show all your work.

docker41 [41]

Answer:

X= 24º

Explanation:

A straight line is 180º so, 180º - 151º = 29º - 5º = 24º

6 0

3 years ago

Read 2 more answers

What is the surface area of a cone when the slant height is 6 mm and the diameter is 4 mm?

Anna [14]

Diameter of cone = d = 4mm
So,
Radius of cone = r = 2mm
Slant Height = l = 6mm
Surface Area = A = ?

The formula for the surface area of cone is:

$A= \pi r(r+l)$

Using the values, we get:

$A= \pi (2)(2+6)=16 \pi$ mm²

Therefore, the surface area of the cone with diameter 4mm and slant height of 6mm will be 16π mm²

8 0

3 years ago

(3n2 – 5n + 6) + (–8n2 – 3n – 2) =

Troyanec [42]

Hello!

You add like terms

$3n^{2} + - 8n^{2} = -5n^{2}$

$-5n + -3n = -8n$

$6 + -2 = 4$

Put all the answers together

$-5n^{2} -8n+4$

The answer is $-5n^{2} -8n+4$

Hope this helps!

6 0

3 years ago