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3 years ago

Pls help answer it's due in 10 minutes

Mathematics

1 answer:

djverab [1.8K]3 years ago

4 0

1/2y-1 because you reduce the numbers

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zepelin [54]

Answer:

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

Step-by-step explanation:

We need to find equation from the table given

x f(x)

3 -5

7 -2

11 1

15 4

We can write equation in the form of $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: $Slope=\frac{y_2-y_1}{x_2-x_1}$

From the table we have: $x_1=3, y_1=-5, x_2=7, y_2=-2$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}$

So, we get slope $m=\frac{3}{4}$

Now, finding y-intercept

Using the slope $m=\frac{3}{4}$ and point (3,-5) we can find y-intercept

$y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}$

The y-intercept is $b=\frac{-29}{4}$

So, the equation having slope $m=\frac{3}{4}$ and y-intercept $b=\frac{-29}{4}$ will be:

$y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}$

The required equation is: $\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}$

6 0

3 years ago

Subtract 7x+3 from 2x-7

AysviL [449]

Subtract 7x+3 from 2x-7

(2x - 7) - (7x + 3) =

2x - 7 - 7x + 3

-5x -4

6 0

3 years ago

Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?

nikdorinn [45]

Answer:

Step-by-step explanation:

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4 years ago

What is the distance between (–9,-6) and (-2,-2)?

Rufina [12.5K]

Answer:

8.0623

Explanation:

Distance between two points = √ ( − 2 − − 9 )^ 2 + ( − 2 − − 6)^ 2

= √ 7 ^2+ 4 ^2

= √ 49 + 16

=√ 65 = 8.0623

Distance between points (-9, -6) and (-2, -2) is 8.0623

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4 years ago

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Pls help answer it's due in 10 minutes​

Pls help answer it's due in 10 minutes