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Oksanka [162]
3 years ago
13

What is the equation of the line that has a slope of 1/4 and a Y intercept of -3

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Solution:

we have been asked to find

The equation of the line that has a slope of 1/4 and a Y intercept of -3.

The standard equation of straight line in the slope-intercept form is given by the formula

y=mx+b

where m is the slope of the straight line and b is the y-intercept.

Substitute the given values we get

y=\frac{1}{4}x-3\\

Hence the equation of the line that has a slope of 1/4 and a Y intercept of -3 is y=\frac{1}{4}x-3\\

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The graph below shows the distance in miles, m, hiked from a camp in h hours.
Artist 52 [7]

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = \frac{2-0}{1-0}=2

For hour 2 to hour 3:

rate of change = \frac{4.5-3.5}{3-2}=1

For hour 1 to hour 2:

rate of change = \frac{3.5-2}{2-1}=1.5

For hour 3 to hour 4:

rate of change = \frac{5-4.5}{4-3}=0.5

So, rate of change is greatest in interval: hour 0 to hour 1

6 0
3 years ago
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If jeremy works 8 hours at Pizza pie and tutors 11 hours during the week, does he reach his goal?
kifflom [539]

Answer:

depends on what his goal is

Step-by-step explanation:

3 0
4 years ago
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SOS SOMONE HELP ME WITH THIS PLEASEEE
solmaris [256]

Answer:

x=3

y=–4

Step-by-step explanation:

kl=JM

3x+y=5

Jk=LM

3x-4y=25

3x+y=5

3x-4y=25

-5y=20

y=-20/5

y=-4

3x+y=5

3x+(-4)=5

3x=5+4

3x=9

x=3

3 0
3 years ago
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If the scale of the map is 1 inch = 125 miles, two points that are 3.75 inches apart will actually be approximately how many mil
lys-0071 [83]

Answer:

469 miles

Step-by-step explanation:

1 in = 125 miles

3.75 in =?

3.75 x 125 = 468.75 miles

468.75 rounds up to 469 miles

3 0
3 years ago
The admission fee at an amusement park is $2.50 for children and $5.40 for adults. On a certain day, 324 people entered the park
zheka24 [161]

Answer:

  • 124 children
  • 200 adults

Step-by-step explanation:

It usually works well to let a variable represent quantity of the highest-value contributor. Here, that is the quantity of adult tickets.

Let "a" represent the number of adult tickets sold. Then (324-a) is the number of admission fees for children. The total revenue is ...

  5.40a +2.50(324 -a) = 1390

  2.90a +810 = 1390 . . . . eliminate parentheses

  2.90a = 580 . . . . . . . . . subtract 810

  a = 200 . . . . . . . . . . . . . .divide by 2.90

The number of children admitted was 124; the number of adults admitted was 200.

8 0
3 years ago
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