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Luda [366]
3 years ago
5

Let f(x) = 2x-6 and g(x) = x2. Evaluate f(g(-2)).

Mathematics
2 answers:
mr Goodwill [35]3 years ago
8 0

Answer:

f(4) = 2

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 6

g(x) = x²

Step 2: Find g(-2)

g(-2) = (-2)²

g(-2) = 4

Step 3: Find f(g(-2))

f(g(-2)) = f(4)

f(4) = 2(4) - 6

f(4) = 8 - 6

f(4) = 2

Aleonysh [2.5K]3 years ago
5 0
F(4)=2 first guys correct
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emma bought a DVD and a video game. The DVD cost $4 less than the video game. Together they cost $42. How much did the DVD cost?
nalin [4]

17 and 25 for the game hope this helps


8 0
3 years ago
A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ
nikdorinn [45]
Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: sin( \frac{x}{4 \pi })

Maximum Value = 10 
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7 

Thus, the function will be of the form:

7sin( \frac{x}{4 \pi } )

The function has a y-intercept other than zero, this means the function will be of the form:

y=7sin( \frac{x}{4 \pi } )+k

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

3=7sin(0)+k \\  \\ 
3=k

Thus the equation of the sinusoidal function becomes:

y=7sin( \frac{x}{4 \pi } )+3

6 0
3 years ago
At the end of year X, automobile installment credit accounted for 36 percent of all outstanding consumer installment credit. At
murzikaleks [220]

Answer:

option (c) 475

Step-by-step explanation:

let the automobile installment credit be 'C'

Given:.

Automobile installment credit accounted for 36 percent of all outstanding consumer installment credit

Now,

57 billion is \frac{1}{3} of automobile installment credit

or

57 billion = \frac{1}{3} × C

or

C = 57 × 3

or

C = 171 billion

now,

installment credit accounted = 36% of all outstanding consumer installment credit

or

171 billion = 0.36 × all outstanding consumer installment credit

or

All outstanding consumer installment credit = $475 billion

Hence, the correct answer is option (c) 475

4 0
4 years ago
Which of the following terms best describes the set of all points in a plane for
melomori [17]
A would be the correct answer:) hope this helps!!
8 0
3 years ago
What is the circumference and the area of this circle​
alexira [117]
<h2>circumference = 50.24cm</h2><h2>area = 200.96cm²</h2>

Step-by-step explanation:

radius (r) = 8cm

circumference = 2π×r

= 2 × 3.14 × 8

= 50.24cm

area = π × r²

= 3.14 × 8 × 8

= 200.96cm²

<h2>MARK ME BRAINLIST</h2>
3 0
3 years ago
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