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3 years ago

Please help worth 20 points

Mathematics

2 answers:

lora16 [44]3 years ago

8 0

It’s e and b Ik because I done that before

Contact [7]3 years ago

7 0

e is the the answer.....

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A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A secon

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Complete the expression that represents the table Y=___x

bezimeni [28]

Answer:

The equation that represents the table is:

$y=\frac{9}{2}x$

Step-by-step explanation:

Taking two points from the table

(2, 9)

(4, 18)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:9\right),\:\left(x_2,\:y_2\right)=\left(4,\:18\right)$

$m=\frac{18-9}{4-2}$

$m=\frac{9}{2}$

As the slope-intercept form is

$\:y=mx+b$

Plugging (2, 9) to find the y-intercept 'b'

$9=\frac{9}{2}\left(2\right)+b$

$\mathrm{Switch\:sides}$

$\frac{9}{2}\left(2\right)+b=9$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$\frac{9}{2}\cdot \:2+b=9$

$9+b=9$

$b=0$

so the equation becomes

$\:y=mx+b$

$m=\frac{9}{2}$

$b=0$

$y=\frac{9}{2}\left(x\right)+0$

$y=\frac{9}{2}x$

Therefore, the equation that represents the table is:

$y=\frac{9}{2}x$

The graph of the equation is also attached below.

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