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
sesenic [268]
3 years ago
13

Suppose that the functions and are defined as follows.

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0

Answer: (q°r)(4) = 30

(r°q)(4) = 36

Step-by-step explanation:

First, when we have two functions f(x) and g(x), we have that:

(g°f)(x) = g(f(x))

So we are actually evaluating one function with other function.

Now, solving the problem:

q(x) = 2x - 2

r(x) = x^2

we have:

(q°r)(x) = q(r(x)) = 2*r(x) - 2 = 2*(x^2) - 2

(r°q)(x) = r(q(x)) = q(x)^2 = (2*x - 2)^2

Then:

(q°r)(4) = q(r(4)) = 2*r(4) - 2 = 2*(4^2) - 2 = 2*16 - 2 = 32 - 2 = 30.

(r°q)(4) = r(q(4)) = q(4)^2 = (2*4 - 2)^2 = 6^2 = 36.

You might be interested in
The state of Colorado is in the shape of a rectangle whose length is 380 miles and whose length is 380 miles and whose width is
KiRa [710]
Area of a rectangle is Length times width
So basically 380 * 280 should be the answer
The answer should be 106400
8 0
4 years ago
Read 2 more answers
Hhellp pwease I want to know what's wrong and right
Studentka2010 [4]

Answer:

A: False

B: False

C: True

D: True

E: False

F: True

G: True

H: True

Step-by-step explanation:

A: 9(x - 2) = 9x + 2

9x - 18 = 9x + 2 FALSE

B: 65 - y = y - 65

(equation rearranged) -y + 65 = y - 65 FALSE

C: g (times) h = h (times) g     (TRUE due to the commutative property of multiplication)

D: a (times) 0 = 0      (TRUE because anything times 0 equals 0)

E: (4 (times) 2) - r = 4 (2 (times) r)

8 - r =  8 - 4r FALSE

F: k + 0 = k TRUE

G: (a + x) + y = a + (x + y)

a + x + y = a + x + y TRUE

H: 5(2x - 9) = 10x - 45

10x - 45 = 10x - 45 TRUE

6 0
3 years ago
Todd has twice as many songs in his playlist as Vlad. Becca has three times as many songs in her playlist as Todd. If all three
nikitadnepr [17]

Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

3 0
3 years ago
a coin weighs 3/4, debra picked up 6 of these coins, what is the total weight of coins she picked up?
Keith_Richards [23]

Answer:

4.5

Hope this helps

4 0
3 years ago
Can u help me with this
Nesterboy [21]
A graphing calculator is a great help for problems of this nature.
  x ∈ {-5.63, -0.55, 2.59}

4 0
3 years ago
Other questions:
  • A restaurant used 3 pounds of potatoes during a lunch rush. If they used 3/8 as much beef, how many pounds of beef did they use?
    14·2 answers
  • Find the area of the regular polygon below and round your answer to the nearest hundredth.
    13·1 answer
  • X3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3
    14·2 answers
  • Ary and Sharon each buy cupcakes and juice boxes to share with their classmates. Mary buys 15 cupcakes and 8 juice boxes. Sharon
    5·1 answer
  • How can I solve that
    9·1 answer
  • Jackie has a sandbox that has two parts. A diagram of the sandbox is shown.
    14·1 answer
  • A savings account increases from ​$150 to ​$159. What is the percent increase of the savings​ account?
    15·1 answer
  • Where do i make the jumps?
    14·2 answers
  • (7,1) and (-2, 2) what is the slope ​
    11·1 answer
  • I don't understand how it gets the result <img src="https://tex.z-dn.net/?f=28b_%7B2%7D" id="TexFormula1" title="28b_{2}" alt="2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!