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nika2105 [10]
3 years ago
7

Write the slope-intercept form of the linear equation of a line with slope of

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:

y = 6x -4

Step-by-step explanation:

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A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of
storchak [24]

Answer:

y = -\dfrac{1}{28}x + 15

Step-by-step explanation:

The car uses 15 gallons of gasoline to drive 420 miles.

(15 gal)/(420 mi) = 1/28 gal/mi

The car uses 1/28 gallon of gasoline per mile.

y = mx + b

When x = 0, at the start of the drive, the car has 15 gallons of gasoline.

y = mx + 15

Then for every mile it travels, the amount  of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.

y = -\dfrac{1}{28}x + 15

5 0
3 years ago
If y varies inversely a X², how dose x varies with y​
Rufina [12.5K]

Step-by-step explanation:

square of x is x2

Inverse of square of x is 1 / x2

So the equation would be:

y = k / x2

where k is a proportionality constant.

To find the value of k, plug in the known values for x and y: x=3, y=45

45 = k / 32 = k / 9

k=405

Now you have the full equation with proportionality factor.

y = 405 / x2

then, for x=5:

y = 405 / 52 = 405 / 25

y = 16.2

4 0
3 years ago
A worker at a hardware store records the lengths of some pieces of wood in feet. Make a line plot of the data shown below
Hitman42 [59]

Answer: Hello the lengths of the pieces of wood is missing but I will provide the format for drawing a line plot which you can now plug in your own values .

answer :

First draw a number line containing all the values in the given data set

Place a dot on top every value contained in the given data set

place as many dots as possible representing the frequency of the value in the given dataset

Step-by-step explanation:

A line plot is simply a method of displaying given data on a number line

steps :

First draw a number line containing all the values in the given data set

Place a dot on top every value contained in the given data set

place as many dots as possible representing the frequency of the value in the given dataset

attached below is an example

8 0
3 years ago
A survey of miss Thornson’s class shows that five out of eight students will buy lunch based on the results how many of the 720
kifflom [539]

There will be 450 students that will buy lunch today.

Fraction of students that'll buy lunch = 5/8.

Number of students in the school = 720

Number of students that'll buy lunch will now be = 5/8 × 720 = 450

Therefore, 450 students will buy lunch today.

Read related link on:

brainly.com/question/24750189

6 0
3 years ago
10 POINTS!! Fast!!<br> In the figure, (BE)||(CD). Solve for x. Show your work.
KatRina [158]

AE/ED=AB/BC

9/6=x/10

x=15

6 0
4 years ago
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