<h3>
Answer: -13</h3>
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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
<h2>Time taken by Helga to wax the car is 72 minutes</h2>
Step-by-step explanation:
Let w be the work of waxing.
Rosita can wax her car in 2 hours or 120 minutes.
Time taken by Rosita = 120 minutes
Let time taken by Helga be t,
When she works together with Helga, they can wax the car in 45 minutes.
We have
Time taken by Helga to wax the car is 72 minutes
Answer:
1/4
Step-by-step explanation:
The answer to this question is the amount of blue gummy bears over the total amount of gummy bears. This is 15/60 or 1/4.
Answer:
Angles 2 and 3 are supplementary to each other
Step-by-step explanation:
A supplementary angle is 2 angles that when you add the sum is 180.
<span>The basic idea is that you form a parallelogram with those two vectors as the two different side lengths
another way to see it: start at the tip of one vector and move in the same direction as the other vector (and the same length as the other vector)
</span><span>With any parallelogram, the adjacent angles are supplementary</span>
180-52-20= 108 degrees
