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WITCHER [35]
3 years ago
14

FSelect the correct answer. Consider these functions: f(x)=4x^3-10 g(x)=3x-4/2 What is the value of g(f(2))? A. -6 B. 2 C. 19 D.

31
Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

D. 31

Step-by-step explanation:

First we need to find what the value of f(2) is, so we are going to substitute x for 2 in f():

f(2)=4(2)^3-10

= 4(8)-10

= 32-10

= 22

And then we substitute 22 for x in g()

g(22)= (3(22)-4)/2

= (66 -4)/2

= 62/2

= 31

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casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?
Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y     Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6     Eqn 2

Putting value of x from Eqn 1 in Eqn 2

6y=4y+6 \\6y-4y=6\\2y=6

Dividing both sides by 2

\frac{2y}{2}=\frac{6}{2}\\y=3

Putting y=3 in Eqn 1

x=6(3)\\x=18

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

7 0
3 years ago
You would like to help your political party succeed at the local level, so you join the party's efforts by working as a
Simora [160]

Answer:

A helping to register voters in your precinct

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two questions in picture! Need help!
kkurt [141]

Answer:

1) C) sin(θ) = 119/169

2) D) cos(θ) = 120/169

Step-by-step explanation:

The mnemonic SOH CAH TOA expresses the relationships you need for answering these questions.

Sin(θ) = Opposite/Hypotenuse = 119/169 . . . . . problem 1

Cos(θ) = Adjacent/Hypotenuse = 120/169 . . . . problem 2

5 0
3 years ago
8
STatiana [176]

Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

5 0
3 years ago
Factor completely: 4x^3 - 36x
ivanzaharov [21]
You would take out a 4x out of both terms because this is a common factor 
4x^3-36x
4x(x^2-9) 
and then you would notice that (x^2-9) is a difference of squares, so that factors out too 
4x(x-3)(x+3)
that is all you can factor! hope this helps
3 0
3 years ago
Read 2 more answers
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