All categories

2 years ago

F(x)=x+7 g(x)=4x^2-9 h(x)=-2x+1 what is the value of h(f(g(2)))

Mathematics

1 answer:

Alinara [238K]2 years ago

6 0

Answer:

- 27

Step-by-step explanation:

Evaluate from the ' inside out ' , that is

Evaluate g(2) then use this value to evaluate f(x) then use this value to evaluate h(x)

g(2) = 4(2)² - 9 = 4(4) - 9 = 16 - 9 = 7, then

f(7) = 7 + 7 = 14 , then

h(14) = - 2(14) + 1 = - 28 + 1 = - 27

You might be interested in

A shadow is cast by a pole. The angle of elevation from the end of the shadow to the top of

Oksana_A [137]

DAnswer:

Step-by-step explanation:

4 0

3 years ago

Givenf(x)=6(8−x)+5. (a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?

Nonamiya [84]

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

5 0

2 years ago

A website offers a coupon such that each customer has a

sweet-ann [11.9K]

Answer:

62.29%

Step-by-step explanation:

The probability of Aya being offered a coupon on at least one of the six days she visits the website is 100% minus the probability that she is not offered a coupon on any of the six days, which is described by a binomial probability with zero successes in six trials with a probability of succes p = 0.15.

$P = 1 - (\frac{6!}{(6-0)!0!}* p^0*(1-p)^{6-0})\\P = 1 - (1* 1*(1-0.15)^{6})\\P=0.6229=62.29\%$

The probability that Aya will be offered a coupon on at least one of the days she visits the website is 62.29%.

8 0

3 years ago

Read 2 more answers

What is the probability of tossing two coins in Irvington bus land on heads?

d1i1m1o1n [39]

Sample space = {TT, HH, TH, HT} where T is tail and H is head.
Number of outcomes = 4
The probability of getting two heads on tossing two coins
$= (\frac{1}{4} \times 100)\% \\ = 25\%$

Answer:

D) 25%

Hope you could understand.

If you have any query, feel free to ask.

6 0

1 year ago

Please help. Don’t understand this math problem!

oksian1 [2.3K]

Answer:

{ 4 }

Step-by-step explanation:

First you need to solve the equation. Then you need to write the solutions as a set.

I like to use a graphing calculator to solve equations involving roots. That helps avoid extraneous solutions. Here, the graph of the left side intersects the graph of the right side at x=4. There is exactly one solution, so the solution set is ...

{ 4 }

Solving this algebraically, you would isolate the radical, then "undo" it by squaring both sides of the equation. Then solve the resulting quadratic. That will have 2 solutions, only one of which will work in the original equation.

√(5x +16) -2 = 3x -8 . . . . given

√(5x +16) = 3x -6 . . . . . . add 2

5x +16 = (3x -6)^2 . . . . . square both sides

5x +16 = 9x^2 -36x +36 . . . . expand the square

9x^2 -41x +20 = 0 . . . . . . subtract (5x+16) to put into standard form

Factors of 9·20 = 180 that have a sum of 41 are 5 and 36, so we can rewrite this equation as ...

9x^2 -36x -5x +20 = 0

9x(x -4) -5(x -4) = 0 . . . . . . factor by pairs

(9x -5)(x -4) = 0

The values of x that make this equation true are the values that make the factors be zero: 5/9 and 4. Trying these in the equation, we find ...

√(5(5/9) +16) -2 = 13/3 -2 = 2 1/3 . . . . value of the left side for x = 5/9

3(5/9) -8 = -6 1/3 . . . . . . value of the right side for x=5/9; not the same

x = 5/9 is NOT A SOLUTION

√(5(4)+16) -2 = √36 -2 = 4 . . . . value of the left side for x = 4

3(4) -8 = 12 -8 = 4 . . . . . . value of the right side for x=4. These are the same, so ...

x = 4 is a solution

The set of solutions is then ...

{ 4 } . . . . . solution set

5 0

2 years ago