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jekas [21]
3 years ago
7

Jonas bought 3 books. Each book was the same price. He also used a coupon that takes $20 off the total cost. What expression can

be used to represent the total purchase?
Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

let x = the price of a book

 so you would have

 total = 3x-20

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This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
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Answer:

<em>x=-14</em>

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}

The equation of the line is:

\displaystyle y=-\frac{3}{10}x+b

Now use one of the points to find b, for example (-94,24):

\displaystyle 24=-\frac{3}{10}\cdot (-94)+b

Operating:

\displaystyle 24=\frac{141}{5}+b

Solving:

b=24-\frac{141}{5}=-\frac{21}{5}

The complete equation of the line is:

\displaystyle y=-\frac{3}{10}x-\frac{21}{5}

To find the x-incercept, set y=0 and solve:

\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}

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Sliva [168]
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Step-by-step explanation:

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Rewriting we have:

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Answer:

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