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Bad White [126]

3 years ago

13

The scatterplot below shows the average yearly consumption of bottled water by people in the United States starting in 1990. Usi

ng the trend line, predict the average consumption of bottled water in the year 2000.

1 answer:

lina2011 [118]3 years ago

8 0

Where is the question chart/graph?

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

8 0

2 years ago

Find the slope please! And thank you :)

nydimaria [60]

Answer:

Question 7. -2 8. 3/2

Step-by-step explanation:

7 0

2 years ago

Please help! I’ll give BRAINLIEST and show ur work please

Darina [25.2K]

Answer:

M<E=T M<T=E

Step-by-step explanation:

As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.

7 0

2 years ago

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Shannon delivered 135 muffins to each of 7 restaurants. How many muffins did Shannon deliver?

Pani-rosa [81]

Answer:

945 muffins

Step-by-step explanation:

135 * 7 = 945

8 0

2 years ago

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MRS Quirk buys 1 quart of milk. michael drinks 2/7 of it. Joel drinks 1/3 of it. what fraction of the quart of milk is left

erica [24]

13/21 cause 21 is a common denominator and 7x3+ 21 you have to do 7x=7 and 3x7=21 so you have to do 3x2= 6 so you do 6+7 which equals 13 and your answer is 13 over 21 since it can't be simplified

4 0

2 years ago