Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change =
=
= 9
Answer:
Step-by-step explanation:
x + 6 I x³ + 2x² - 10x + 84 I x² - 4x + 14
x³ + 6x²
<u> - - </u>
-4x² - 10x
-4x² - 24x
<u> + + </u>
14x + 84
14x + 84
<u> - - </u>
0
P(x) =(x +6)* ( x² - 4x + 14) + 0
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
If 1/6 of the pan was left and there were 2 pieces left you just need to set 1/6 equal to 2/some number, this allows you to say that 1/6=2/x --> x/6=2-->x=12.
My explanation might be a little poor since this becomes fairly fundamental later on but hopefully it helps.
Answer:
a. $2,303.59
b. $5,803.59
Step-by-step explanation:
A = P(1 + r)^t
A = 3500(1.017)^30
A = 5803.59