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expeople1 [14]
3 years ago
14

Could someone help me with number 19

Mathematics
1 answer:
azamat3 years ago
8 0

Solving #19

<u>Take y-values from the graph</u>

  • a) (g·f)(-1) = g(f(-1)) = g(1) = 4
  • b) (g·f)(6) = g(f(6)) = g(2) = 2
  • c) (f·g)(6) = f(g(6)) = f(5) = 1
  • d) (f·g)(4) = f(g(4)) = f(2) = -2
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Juan hikes up a mountain. He hikes back down at a constant rate. The table shows Juan's elevation at each hour after he begins h
Dimas [21]

The linear function that describes Juan's elevation during his descent is:

B. y = -1460x + 7500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:

y = -1460x + b.

The y-intercept is found considering that when x = 1, y = 6040, hence:

b = 6040 + 1460 = 7500.

Which means that option B is correct.

More can be learned about linear functions at brainly.com/question/24808124

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8 0
2 years ago
Which of the following points does Not lie on the graph of y =3x
nalin [4]

Answer:

(2,6)

Step-by-step explanation:

<u><em>The options of the questions are</em></u>

(0,1) (1,3) (2,6) (3,27)

and the given function is    y=3^x

we know that

If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation

<u><em>Verify each ordered pair</em></u>

case 1) (0,1)

substitute the value of x and the value of y in the linear equation and then compare the results

1=3^0

1=1 ----> is true

so

The ordered pair lie on the graph of the given equation

case 2) (1,3)

substitute the value of x and the value of y in the linear equation and then compare the results

3=3^1

3=3 ----> is  true

so

The ordered pair lie on the graph of the given equation

case 3) (2,6)

substitute the value of x and the value of y in the linear equation and then compare the results

6=3^2

6=9 ----> is  not true

so

The ordered pair not lie on the graph of the given equation

case 4) (3,27)

substitute the value of x and the value of y in the linear equation and then compare the results

27=3^3

27=27 ----> is  true

so

The ordered pair lie on the graph of the given equation

8 0
3 years ago
Which of the following equations is modeled by the graph.
Sergio [31]

Answer:

a = 50t

Step-by-step explanation:

The graph goes through (0,0) so the y intercept is 0

a=5t

a=50t

a=50 + t    not it

a=10t ​

The slope is  y/x since the y intercept is 0

m = 50/1 = 50

The equation for the line is

y = 50x+0

y = 50x

Using the variables given

a = 50t

5 0
3 years ago
Can someone help me complete this worksheet please and thank you it’s all multiple choice
7nadin3 [17]

Answer:

1. D 12.8 cm

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4. A 6.95

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3 years ago
Martha measures a side piece of wood. The length is 10 feet and the width is one-half of the
zysi [14]
L = 10 feet
W = L / 2 = 10 / 2 = 5
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4 0
3 years ago
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