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labwork [276]
3 years ago
7

Please help and explain if so thank you

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

<em>y = 6</em>

Step-by-step explanation:

Slope-intercept form:

y = mx + b

m = slope; b = y-intercept

A line with slope 0 is a horizontal line. Since one point on the line has y-coordinate 6, then all points on the line have y-coordinate 6. The y-intercept is 6.

m = 0; b = 6

y = mx + b

y = 0x + 6

y = 6

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3 years ago
Suppose that the functions g and h are defined for all real numbers r as follows. gx) -4x +5 h (x) = 6x write the expressions fo
aleksandr82 [10.1K]

Answer: Our required values would be -10x+5, 2x+5 and -25.

Step-by-step explanation:

Since we have given that

g(x) = -4x+5

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h(x) = 6x

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g(x)-h(x)\\\\=-4x+5-6x\\\\=-10x+5

and (g+h)(x) is given by

g(x)+h(x)\\\\=-4x+5+6x\\\\=2x+5

and (g-h)(3) is given by

-10(3)+5\\\\=-30+5\\\\=-25

Hence, our required values would be -10x+5, 2x+5 and -25.

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xeze [42]

1) The two lines are <em>perpendicular</em>. (Correct choice: True)

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<h3>How to analyze and interpret linear functions</h3>

Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:

Exercise 1

If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:

m · m' = - 1

[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]

(- 1 / 1) · (1 / 1)

- 1

The two lines are <em>perpendicular</em>. (Correct choice: True)

Exercise 2

In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:

m = ($ 10 - $ 0) / (1 h - 0 h)

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The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

To learn more on linear functions: brainly.com/question/21107621

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1 year ago
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<h3>What is an independent event?</h3>

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Read more on independent events here: brainly.com/question/26795996

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