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topjm [15]
3 years ago
7

Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.


Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31


This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31

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⇒  (5x)° = 360°

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7 0
3 years ago
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Ksenya-84 [330]

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

<h3>What is a domain?</h3>

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

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6 0
2 years ago
A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The su
Oxana [17]

Answer:

0.81

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Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

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So, the point estimate is 0.81

6 0
3 years ago
Which equation represents the graph of the linear function?
Flura [38]
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5 0
3 years ago
A teenager’s heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
love history [14]

Answer:

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Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

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The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

7 0
3 years ago
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