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sergiy2304 [10]
3 years ago
9

Write a linear function f with the values f(-1)=-3 and f(2)=6.

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

<em>y = 3x</em>

Step-by-step explanation:

<u>Equation of a Line</u>

Suppose we know the line passes through 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}

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

We are given the following values of the function: f(-1)=-3 and f(2)=6. The points are (-1,-3) and (2,6). The slope is:

\displaystyle m=\frac{6+3}{2+1}=\frac{9}{3}=3

Now find the equation of the line using the second point:

y - 6 = 3 ( x - 2 )

Operating:

y - 6 = 3x - 6

Simplifying:

y = 3x

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It will be cost $ 42.39 for 27 slices of pizza

<h3>Further Explanation</h3>

A slice of pizza = $1.57

27 slices of pizza = the number of pizza x price/slice

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We are going to use standard algorithm to solve this multiplication

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In decimal number multiplication, the process is the same with the whole number multiplication. Only always remember when to put the decimal point in the answer.

<h3>Learn more</h3>

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Answer:

Ted will need 3\frac{3}{4} cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

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Using the ratio and proportional

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Step-by-step explanation:

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