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2 years ago

13. Identify the y-intercept and the slope for each equation.

Mathematics

1 answer:

mihalych1998 [28]2 years ago

5 0

Answer:

For a ) y = 6x - 3

$slope = m = 6\\y-intercept = c = -3\\$

For b ) y = -2x - 10

$slope = m = -2\\y-intercept = c = -10\\$

For c ) y = -4x + 4

$slope = m = -4\\y-intercept = c = 4\\$

Step-by-step explanation:

Given:

a. y = 6x - 3

b. y = -2 (x + 5)

y = -2x - 10

c. y = 4 (-x + 1)

y = -4x + 4

To Find:

y-intercept and the slope for each equation = ?

Solution:

Slope-intercept Formula is given by

$y=mx+c$

Where,

m = slope

c = y-intercept

So on comparing the Given equations with the above Equation we get

For a ) y = 6x - 3

$slope = m = 6\\y-intercept = c = -3\\$

For b ) y = -2x - 10

$slope = m = -2\\y-intercept = c = -10\\$

For c ) y = -4x + 4

$slope = m = -4\\y-intercept = c = 4\\$

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Answer:

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Step-by-step explanation:

We are given the following in the question:

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Thus, the correct answer is

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3 years ago

How to get everything to one side of the inequality for 3+4/x>=(x+2)/x

Ksenya-84 [330]

Answer:

$2x+2\geq 0$

Step-by-step explanation:

Given:

The given inequality is.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Solution:

Simplify the given expression.

$3+\frac{4}{x} \geq \frac{x+2}{x}$

Multiply by x both side of the equation.

$x(3+\frac{4}{x}) \geq x(\frac{x+2}{x})$

Simplify.

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$3x+4\geq x+2$

Rewrite the equation as.

$3x+4-x-2\geq 0$

$2x+2\geq 0$

Therefore, $2x+2\geq 0$ is the simplest form of the given expression.

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3 years ago

The slope of a line is 58, and the line passes through the point (−8,−4).

nadezda [96]

Answer:

y=58x+460

Step-by-step explanation:

y=mx+b

We are given m=58 so we have

y=58x+b

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-4=58(-8)+b

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460=b

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3 years ago

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A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

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Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$