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bagirrra123 [75]
3 years ago
13

Find the equation of a line that satisfies the given conditions; x-intercept = 2, and y-intercept = -8

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0
X-intercept = (2 , 0)
y-intercept = (0 , -8)
Slope of the line:
m = (-8 - 0) / (0 - 2)
m = 4

y = 4x - 8
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If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

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

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
Read 2 more answers
Charlotte is running at a race of 9 km/h.<br><br> What is Charlotte’s speed in m/s?
Novay_Z [31]

Answer:

9,000

Step-by-step explanation:

1 km=1,000

9*1,000=9,000

7 0
3 years ago
Which inequality is represented by the graph? ​
joja [24]

Answer:

graph?

Step-by-step explanation:

7 0
3 years ago
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Each serving for a box of trail mix is 3/8 of a cup.
Andrew [12]

Answer:

It's 4

Step-by-step explanation:

It asks how many 3/8 cups are in 1 1/2 cups. So, we divide.

1 1/2 ÷ 3/8. We have to change the 1 1/2 into a improper fraction. 1 1/2 = 3/2. 3/2 ÷ 3/8 = 3/2 ÷ 8/3 = 24/6. Simplify, and you get 4. :)

3 0
3 years ago
The measures of the angles of a triangle are in a ratio of 7:9:10. Find the measures of the angles of the triangle
Brut [27]
So all the angles in total are going to be 180 degrees.
7+9+10 = 18 (parts at all)
180/18=10 (1 part of the ratio)
Than to find all of the angles we multiply 1 part by 7, 9 and 10 separately
10*7= 70 degrees (1st angle)
10*9=90 degrees (2nd angle)
10*10=100 degrees (3rd angle)
Answer: 70, 90, 100
6 0
2 years ago
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