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Anna [14]
3 years ago
15

Which graph shows a line with a slope of 3?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

The first graph shows a slope of 3.

Step-by-step explanation:

If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.

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What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7
BARSIC [14]

Answer:

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

x_1=1,y_1=20

x_2=3,y_2=10

now, we can find slope

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

now, we can plug values

m=\frac{10-20}{3-1}

m=-5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-20=-5(x-1)

now, we can solve for y

y=-5x+25

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

y=-5\times 0+25

y=25

So, initial value is 25

3 0
3 years ago
42 less than the product of 28 and an unknown number is 154
zalisa [80]
First you write out your equation, which is 28x-42=154. Then you solve you equation. First, add 42 to each side, get 28x=196. Divide both sides by 28, get x=7.
8 0
3 years ago
What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)
Katyanochek1 [597]
Midpoint Formula: (\frac{x+x}{2},\frac{y+y}{2})
Midpoint = (\frac {-4+7}{2},\frac {-3-5}{2})
Midpoint = (\frac {3}{2},\frac {-8}{2})
Midpoint = (\frac {3}{2}, -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is (\frac {3}{2}, -4).
Have a nice day! ♪
4 0
3 years ago
Read 2 more answers
Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma
scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

315+213-123 =405

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither = 500-405 =95

Exactly one course is either math or economics - both

= 405-123 = 282

3 0
3 years ago
George is cooking an elaborate meal. He can only cook one thing at a time in his microwave oven. His turkey takes 90 ​minutes; t
AysviL [449]
<h2>Answer :</h2>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.

<h2>Step-by-step explanation :</h2><h3>Known :</h3>
  • George can only cook one thing at a time
  • Turkey takes 90 minutes to cook
  • Pumpkin pie takes 20 minutes to cook
  • Rolls take 60 seconds to cook
  • A cup of coffee takes 45 seconds to heat

<h3>Asked :</h3>
  • Time needed to cook the meal
  • Time he need to start in order to complete the cooking at 4 P.M.

<h3>Completion :</h3>

Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,

60 seconds = 1 minutes

45 seconds = 45/60 minutes = 0.75 minutes

Time needed = Turkey + Pumpkin pie + Rolls + Coffee

Time needed = 90 + 20 + 1 + 0.75

Time needed = 111.75 minutes

Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.

111.75 minutes = 1 hour and 51.75 minutes

111.75 minutes = 1 hour and 51 minutes and 45 seconds

Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.

4h 0m 0s - 1h 51m 45s = 2h 8m 15s

<h3>Conclusion :</h3>
  • He need 111.75 minutes to cook the meal
  • He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
5 0
2 years ago
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