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3 years ago

Find the slope of the line represented by the data on the picture

Mathematics

1 answer:

arsen [322]3 years ago

4 0

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula and any 2 ordered pairs from the table.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (- 1, 4) ← 2 points from the table

m = $\frac{4-8}{-1+2}$ = $\frac{-4}{1}$ = - 4

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If 8 times a number is added to twice the number, the result is 60. the solution is

Andrei [34K]

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10 /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

3 0

2 years ago

Read 2 more answers

A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t

Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Further explanation:

Given:

A local company rents a moving truck for $\$ 750.$

Rent per mile is $\$ 0.59$ if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is $\$ 750$ if he drove less than 1000 miles.

${\text{Cost}} = \$ 750{\text{ }}x \leqslant 1000$

The rental cost of the truck can be expressed as follows,

${\text{Cost}} = 750 + 0.59x{\text{ }}x > 1000$

The rental cost is at most $\$1000.$

$750 + 0.59x \leqslant 1000$

The maximum number of miles can be obtained as follows,

$\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}$

The maximum number of miles can be obtained as follows,

$\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}$

The maximum number of miles the truck can be driven so that the rental cost is at most $\$1000$ is $\boxed{1423{\text{ miles}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over

3 0

3 years ago

Read 2 more answers

By the end of Monday, a grocery distribution center has 240 cases of green beans in its warehouse. Every day, the center deliver

asambeis [7]

The answer is B.
Explanation:

240-18
= 222
222-18
= 204
204-18
= 186

6 0

3 years ago

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38 is 8 percent, of what number?

adoni [48]

Answer: