1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
11

Which expression represents the composition [g o f o h](x) for the functions below?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320

You might be interested in
The sum of two consecutive natural numbers is 525.<br> Find the numbers.
Luda [366]

Answer:

262 and 263 are consecutive natural numbers whose sum is 525.

Step-by-step explanation:

Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. (|x-y| = 1, \forall\,x,y \in \mathbb{N}) We can interpret the statement mathematically by means of the following expression:

x + y = 525

x = n

y = n+1

Where x, y, n \in \mathbb{N}.

This system is reduced to a single equation and solved afterwards:

n +(n+1) = 525

2\cdot n + 1 = 525

2\cdot n = 524

n = 262

Now we evaluate x and y to obtain the natural numbers:

x = 262

y = 263

262 and 263 are consecutive natural numbers whose sum is 525.

3 0
3 years ago
Find tan theta if sec theta = sqrt 37/6 and sin theta &lt; 0
gayaneshka [121]

Answer: -1/6

Step-by-step explanation:I’ve taken the test

8 0
3 years ago
What will your balance be on an investment of $7000 at 2% for 4 years compounded annually.
e-lub [12.9K]
Your balance would be 35, I think
4 0
3 years ago
If a person is paid $430 for 25 hours of work, what is the person’s hourly wage?
astraxan [27]
So you need to divide 430 into 25 to get 17.2
So he/she earns $17.20 an hour or in word format :seventeen dollars and twenty cents and hour
5 0
3 years ago
Simply your expression<br> 4[(12-2) ²÷4]
lina2011 [118]

Answer:

100

Step-by-step explanation:

Simplify the following:

4 (12 - 2)^2/4

Hint: | Express 4 (12 - 2)^2/4 as a single fraction.

4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:

(4 (12 - 2)^2)/4

Hint: | Cancel common terms in the numerator and denominator of (4 (12 - 2)^2)/4.

(4 (12 - 2)^2)/4 = 4/4×(12 - 2)^2 = (12 - 2)^2:

(12 - 2)^2

Hint: | Subtract 2 from 12.

| 1 | 2

- | | 2

| 1 | 0:

10^2

Hint: | Evaluate 10^2.

| 1 | 0

× | 1 | 0

| 0 | 0

1 | 0 | 0

1 | 0 | 0:

Answer: 100

8 0
3 years ago
Other questions:
  • Cookies are on sale! Today each cookie costs $0.75, less than the normal price. Right now if you buy 7 of them it will only cost
    10·1 answer
  • Find the domain of the function expressed by the formula: y=x^2+8
    8·1 answer
  • Parallelogram EFGH has vertices at E(1,3), F(0,2), G(4,0), and H(5,1). How many units is the perimeter of parallelogram EFGH?
    11·2 answers
  • If the length of a netball court is 30.5m what scale has been used on this diagram?
    12·1 answer
  • Factorise the following.<br> 49g^2 - 36h^2 - 28g - 24h
    6·1 answer
  • Tim had three toys and Sheila have four toys how many did they have together ?
    7·1 answer
  • Mhanifa please help :( no one has helped me on this yet
    15·1 answer
  • A botanist is studying a newly identified soybean disease. The botanist collected soil samples from all of the
    5·1 answer
  • Please help me with this problem. I'm kind of stuck and don't know what to do.
    8·1 answer
  • Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00. She budgets $25.50 per month for her tot
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!