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3 years ago

Write an equation of a line with the given slope and y-intercept.

Mathematics

1 answer:

umka2103 [35]3 years ago

3 0

First thing the basic equation for the slope y intercept is “ y=my + b”. Keeping that in mind we just plug in the information we know: The y intercept is always “b” which is where the line on your graph intersects the y axis. The slope which would be “ m” is spaces you will move to get to the next point on your graph. The slope is 4/5 so that means you would move up 4 over 5 to get to the next point you will eventually hit the y intercept using this method. So in conclusion your answer will be Y= 4/5 x +2

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3 years ago

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3 (x -1) = 5x +3 -2x

Vika [28.1K]

Steps to solve:

3(x - 1) = 5x + 3 - 2x

~Distribute left side

3x - 3 = 5x + 3 - 2x

~Combine like terms

3x - 3 = 3x - 3

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4 years ago

Solve: 2.5k+47.4=81.9

belka [17]

Answer:

k=13.8

Step-by-step explanation:

Given function:

2.5k+47.4=81.9
to find k..

Subtract final and middle value:

$81.9-47.4= 34.5$

Divide by 2.5:

$34.5*2.5=13.8$

Therefore, k=13.8..

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3 years ago

A toll collector on a highway receives $8 for trucks and $5 for sedans. At the end of a 3-hour period, she collected $208.

Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The cost for trucks =$5

The cost for sedans =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

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3 years ago