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3 years ago

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.

You might be interested in

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