Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = <u>y2 - y1</u>
x2 - x1
m = <u>1 - (-2)</u>
0 - 1
= <u>3</u> = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
The answer is 30°.
Rule: All three sides must add up to 180°.
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!
We know that
in the right triangle
<span>sinθ=opposite side/hypotenuse
</span><span>cosθ=adjacent side/hypotenuse
</span><span>tanθ=opposite side/adjacent side
in this problem
opposite side angle </span>θ=8
adjacent side angle <span>θ=15
hypotenuse=17
so
</span>sinθ=8/17
cosθ=15/17
tanθ=8/15
Answer: $1500.00
Step-by-step explanation:
