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
nadezda [96]
2 years ago
13

Pls help! i need an explanation and the steps that show how it’s solved too. tysm!

Mathematics
2 answers:
sergey [27]2 years ago
7 0

Answer:

True

Step-by-step explanation:

Given functions:

\begin{cases}f(x)=3x-7\\g(x)=13x-2\\h(x)=6x\end{cases}

h(h(g(x))) is a composite function.  

<u>Composite functions</u> are when the output of one function is used as the input of another.

Therefore, the given composite function means to substitute the function g(x) in place of the x in function h(x), <em>then </em>substitute this in place of the x in function h(x).

<u>Step 1</u>

Substitute the function g(x) in place of the x in function h(x):

\begin{aligned}h(x) & = 6x\\\implies h(g(x)) & =6(g(x))\\& = 6(13x-2)\\ & = 78x-12\\\end{aligned}

<u>Step 2</u>

Now substitute the above in place of the x in function h(x):

\begin{aligned}h(x) & = 6x\\\implies h \left(h(g(x))\right) & =6(h(g(x)))\\& = 6(78x-12)\\& = 468x-72\end{aligned}

Therefore, the statement is true.

To carry out the composite function in one step:

\begin{aligned}h(x) &=6x\\\implies h(h(g(x))) & = 6\:(h(g(x)))\\& = 6(6(g(x)))\\& = 6( 6(13x-2))\\& = 6(78x-12)\\& = 468x-72\end{aligned}

Julli [10]2 years ago
6 0

Answer:

true

Step-by-step explanation:

6(6(13x-2)

36(13x-2)

468x-72

please mark brainliest :D

You might be interested in
A punch recipe says to mix 4 cups of pineapple juice 8 cups of orange juice in 12 cups of Seltzer in order to make 18 servings o
Vedmedyk [2.9K]

Answer:

∴ Pineapple juice  18 cups , Orange juice 36 cups and Seltzer juice  54 cups.

Step-by-step explanation:

Given;

To mix 4 cups of pineapple juice 8 cups of orange juice in 12 cups of Seltzer in order to make 18 servings of plants

Total cup of juice,

(4+8+12)=24 cups

To make 108 cups of punch then;

\frac{108}{24} =4.5  ( By fraction rules )

Pineapple juice=4\times 4.5=18 cups

Orange juice=8\times 4.5=36 cups and

Seltzer juice=12\times 4.5=54 cups

So Pineapple juice  18 cups , Orange juice 36 cups and Seltzer juice  54 cups.

3 0
3 years ago
Find ModifyingBelow lim With h right arrow 0limh→0StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h for th
UkoKoshka [18]

Answer:

Answer is 88

Step-by-step explanation:

We have Given function

f(x)=88x-77

we have to find f'(x) at x=3  Where f'(x) shows derivative of the given function.

This means we need

f'(3)=?

So By definition of the Derivative that is

f'(x)=lim(h---->0)(f(x+h)-f(x))/h

so this our definition of derivative of the function

Now We have to find out at x=3, So By putting x =3 in definition ,We get

f'(3)=lim(h---->0)(f(3+h)-f(3))/h

   Here lim(h--->0) means limit h approaches to zero(right arrow 0limh→0)

     =lim(h---->0)((88(3+h)-77))-(88(3)-77))/h

     =lim(h---->0)((264+88h-77)-264+77)/h

     =lim(h----->0)(264+88h-77-264+77)/h

now by performing simple arithematic we get result

f'(3) = lim(h---->0)(88h/h)

f('3) = lim(h---->0)(88)

here we use law of the limit we limit of the constant is that constant

lim(h----->0)c=c

so

f'(3)=88

So this our answer

4 0
3 years ago
The common ratio of a geometric sequence cannot be:<br> a) 3 b) 1<br> c) 2 d) 0
MA_775_DIABLO [31]
The correct answer is d.
4 0
3 years ago
For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?
Irina18 [472]

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

<em><u>x=4 or x=-2</u></em>

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

<em><u>x=4 or x=-2</u></em>

4 0
4 years ago
Read 2 more answers
The question that I'm having issues with is, "The complement of an angle, A, in degrees, is equal to one-sixth of the supplement
dolphi86 [110]
'Complement' = difference between an angle an 90 degrees.

'Supplement' = difference between an angle and 180 degrees.

Complement of A = 90 - A

Supplement of A = 180 - A

The problem says that the complement is 1/6 of the supplement, right ?

So    <u>  90 - A = (1/6) x (180 - A)</u>

Multiply each side of this equation by 6 :

540 - 6 A = 180 - A

Subtract 180 from each side:

360 - 6 A = - A

Add 6A to each side :

360 = 5 A

Divide each side by 5 :

<u>A = 72°</u>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must evaporate to
    9·1 answer
  • In circle P, EG and FH are diameters.<br> What is m EH?
    7·1 answer
  • -25 Points-<br> Find the value of y.<br> Enter a decimal rounded to the nearest tenth.
    14·1 answer
  • What are the excluded values of the function? y= 5/6x-72​
    14·2 answers
  • ASAP PLEASE HELP ME I AM VERY CONFUSED BRAINLIST FOR WHO GET ITS RIGHT
    14·2 answers
  • What’s given?, what’s something else we can figure out?, Can we prove these congruent?
    12·1 answer
  • John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to
    9·1 answer
  • Karen has a cube that has a side length of 6 in. The net of the cube is shown.
    15·1 answer
  • One-half of a number y is more than 22.
    15·1 answer
  • Someone please help with this question for brainliest !!!!:)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!