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3 years ago

-8(4+7)=-88 SIMPLIFY __=-88 PLEASE HELP

Mathematics

1 answer:

Degger [83]3 years ago

5 0

Answer:

Is this what you need?

-8(4+7)=-88

-8(11)=-88

-88=-88

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Determine whether the table of values below represents a linear function. If it represents a linear function, write the function

Rzqust [24]

Answer:

The equation of a linear function is:

$y = 2x+4$

Step-by-step explanation:

Given the table

x y

-10 -16

-3 -2

1 6

2 8

Determining the slope between the points (-10, -16), (-3, -2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)$

$m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}$

$m=2$

Determining the slope between the points (-3, -2), (1, 6)

$m=\frac{6-\left(-2\right)}{1-\left(-3\right)}$

$m=2$

Determining the slope between the points (1, 6),(2, 8)

$m=\frac{8-6}{2-1}$

$m = 2$

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 2 and any point let say (1, 6)

$y - 6 = 2(x-1)$

$y-6 = 2x-2$

$y = 2x-2+6$

$y = 2x+4$

Therefore, the equation of a linear function is:

$y = 2x+4$

5 0

3 years ago

A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a

Andru [333]

Ima say 10 by 12 for the garden

3 0

4 years ago

Kate decides to replace all the lights in her college apartment with energy saving light bulbs beginning this month. The packagi

tatyana61 [14]

Answer:

Kate's electric bill will be $9 for this month for bulb use only.

Step-by-step explanation:

Given:

Electricity bill lass month from bulb use = $12

Using new bulbs percent decrease in electricity = 25%

We need to find this month electric bill for bulb use.

Solution:

First we will find the reduction in bill after using new bulbs.

reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.

framing in equation form we get;

reduction in bill after using new bulbs = $\frac{25}{100}\times 12 =\$3$

Now we will find this month electric bill for bulb use only.

this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.

framing in equation form we get;

this month electric bill for bulb use only = $\$12-\$3=\$9$