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Dmitry [639]
3 years ago
13

I need help ASAP please ​

Mathematics
1 answer:
lawyer [7]3 years ago
4 0
A. The slope is 3.75 because that’s how much the total cost is increasing by when a drink is being added
B. The y-intercept is 6.25 because that is the total cost when the number of drinks(x) is zero.
C. y=3.75x+6.25
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Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
NikAS [45]

Answer:

y=\frac{1}{3} x+6

Step-by-step explanation:

(3,7)(-6,4)

Step 1. Find the slope (by using the slope-formula)

m = slope

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

m=\frac{4-7}{-6-3}

m=\frac{-3}{-9}

m=\frac{3}{9}

m=\frac{1}{3}

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula y=mx+b whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

y=\frac{1}{3} x+b

Find the y-intercept (b) by using a point and substituting their x and y values

y=\frac{1}{3} x+b

Point: (3, 7)

7=\frac{1}{3} (3)+b

7=1+b

b=7-1

b=6

Step 3. Write the equation in Slope-intercept form

y=mx+b

y=\frac{1}{3} x+6

3 0
2 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).
kirza4 [7]

Answer:

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

y=\frac{3}{10}x+8

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

y=\frac{3}{10}X50+8=15+8=23

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.  

If y=35

35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x

Multiply both sides by 10/3

27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

3 0
3 years ago
What is the slope of the line that passes through the points (3, -4) and (7, 4)?
Andrews [41]
The correct option is: Option (C) 2

Explanation:

The slope formula is = m = \frac{y_2 - y_1}{x_2 - x_1}

Insert the values in the above formula:

m = \frac{4 - (-4)}{7 - 3} =  \frac{8}{4} = 2

Which is Option (C).
6 0
3 years ago
Is greater than, less than or equal to 125°?
muminat

Answer:

the answer is C.

Step-by-step explanation:

equals to 125

4 0
3 years ago
Read 2 more answers
Movie genres. The pie chart summarizes the genres of 120 first-run movies released in 2005. a) Is this an appropriate display fo
butalik [34]

Answer:

Yes, it is appropriate

Step-by-step explanation:

Given

See attachment for pie chart

Required

Is the pie chart appropriate

The attached pie chart displays the distribution of each of the 4 genre. The partition occupied represents the measure of each genre.

5 0
3 years ago
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