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2 years ago

Let f(x) = 5x – 4 and g(x) = x² – 1. Find each value.

Mathematics

1 answer:

Naily [24]2 years ago

8 0

Answer:

35.) 80

36.) 11

37.) 15

38.) 21

39.) -9

40.) -1

Step-by-step explanation:

In simplified terms the question is asking

35.) g(f(-1)) =

g(-9) = 80

36.) f(g(2)) =

f(3) = 11

37.) g(f(0)) =

g(-4) = 15

38.) f(g(root6)) =

f(5) = 21

39.) f(g(0)) =

f(-1) = -9

40.) g(f(4/5)) =

g(0) = -1

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Describe the key features of the graph of the quadratic function f(x) = x2 - 8x - 20

Zolol [24]

If f(x)=x^2-8x-20 then

dy/dx=2x-8 and d2y/dx2=2

A) Since acceleration is a constant positive the parabola opens upward.

B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum

C) The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4

So the axis of symmetry is the vertical line x=4.

The vertex is y(4)=-36, corresponding to the vertex point (4,-36)

The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)

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2 years ago

Divide 794.1 by 7.61. Round off your answer to two decimal places. A. 1,043.50 B. 95.83 C. 104.35 D. 786.49

Tcecarenko [31]

104.36 this is the answer

6 0

3 years ago

Jim earns $41.25 in 5 hours. Susan earns $30.00 in 4 hours. Pierre's hourly rate is less than Jim's, but more than Susan's. What

IceJOKER [234]

<h2>Answer: Pierre's hourly rate is less than $8.25 but more than $7.50</h2>

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3 0

3 years ago

Three Linear Variables

azamat

Answer:

23 yellow, 30 pink and 12 blue balls

Step-by-step explanation:

Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.

From 1st sentence:

y +p +b +x= 90

"60 of them are not pink"

➜ y +b +x= 60

Given that 25 are black, x= 25.

"67 of them are not yellow"

➜ p +b +x= 67

Subst. x= 25 into the above equations:

y +p +b +25= 90

y+ p +b= 65 -----(1)

y +b +25= 60

y +b= 35 -----(2)

p +b +25= 67

p +b= 42 -----(3)

I will rewrite the 3 equations for better clarity:

y +p +b= 65 -----(1)

y +b= 35 -----(2)

p +b= 42 -----(3)

(1) -(2):

p= 65 -35

p= 30

(1) -(3):

y= 65 -42

y= 23

Substitute p= 30 and y= 23 into (1):

23 +30 +b= 65

b= 65 -53

b= 12

Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.

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2 years ago

About how many months have 28 days

aleksandrvk [35]

All 12 months have 28 days.

(It's just that some months have a few more than 28.)

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2 years ago