<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>
where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>
<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>
<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)
Answer:
7
Step-by-step explanation:
f(x) = 2x^3 + x^2 − 3x + 1
f'(x) = 6x^2 + 2x − 3
The slope at -2:
f'(-2) = 6(-2)^2 + 2(-2) − 3
f'(-2) = 24 + -4 − 3
f'(-2) = 17
-----
The slope at 0:
f'(0) = 6(0)^2 + 2(0) − 3
f'(0) = − 3
The average rate of change is (17+(-3))/2, or 14/2, or 7
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
It goes by 8!
If u see, 4 + 8= 12 +(another) 8 = 20! It skips 8 every time!
If u were to continue it, 20 + 8 = 28 and so on!
The difference is the sum of the number totalled.
Hope this helps!
Answer:
a) P = 0.08s +200
b) $488
c) $6250
Step-by-step explanation:
<h3>a)</h3>
Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:
P = 0.08s +200
__
<h3>b)</h3>
Fill in 3600 for s and do the arithmetic.
P = 0.08×3600 +200 = 288 +200 = 488
The paycheck amount will be $488.
__
<h3>c)</h3>
Use the equation for part (a) and solve for P = 700.
700 = 0.08s +200
500 = 0.08s . . . . . . subtract 200
500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this
Sales would have to be $6250.
