Answer:
1. -1/28
2. -4
3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4. -.125
Step-by-step explanation:
To find the rate of change, we use the formula
f(x2) - f(x1)
--------------
x2-x1
1.
f(x) = -(x) ^ 1/3
f(64) = -(64) ^ 1/3 = -4
f(8) =- (8)^1/3 = -2
f(64) - f(8) -4--2 -4+2 -2 -1
-------------- = --------- = ------------- = ----------- = ------
64 - 8 56 56 56 28
2.
f(2) = 9
f(-2) = 25
f(x2) - f(x1) f(2) - f(-2) 9-25 -16 -16
-------------- =----------- = ----------------- = ---------- = ----------- = -4
x2-x1 2--2 2+2 4 4
3.
f(5) = 755
f(2) = 680
f(x2) - f(x1) f(5) - f(2) 755-680 75
-------------- = ---------- = -------------- = ---------- = 25
x2-x1 5-2 3 3
A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4.
f(-1) = -.25
f(1) = -.5
f(x2) - f(x1) f(1) - f(-1) -.5 --.25 -.5+.25 -.25
-------------- = ---------- = -------------- = ---------- = --------- = -.125
x2-x1 1--1 1+1 2 2
Two workers finished a job in 7.5 days.
How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?
let t = time required by one worker to complete the job alone
then
(t+8) = time required by the other worker (shirker)
let the completed job = 1
A typical shared work equation
7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1
multiply by t(t+8), cancel the denominators, and you have
7.5(t+8) + 7.5t = t(t+8)
7.5t + 60 + 7.5t = t^2 + 8t
15t + 60 = t^2 + 8t
form a quadratic equation on the right
0 = t^2 + 8t - 15t - 60
t^2 - 7t - 60 = 0
Factor easily to
(t-12) (t+5) = 0
the positive solution is all we want here
t = 12 days, the first guy working alone
then
the shirker would struggle thru the job in 20 days.
Answer:
6*x^(2/5)*y^(1/5)
Step-by-step explanation:
The fifth root of x^2 is x^(2/5).
That of y is y^(1/5).
Then the given expression, rewritten with fractional exponents, is
6*x^(2/5)*y^(1/5)
we have
(a+b)(3a-b)(2a+7b)
step 1
Solve
apply distributive property
(a+b)(3a-b)=3a^2-ab-3ab-b^2=3a^2-4ab-b^2
step 2
Multiply (3a^2-4ab-b^2) by (2a+7b)
6a^3+21a^2b-8a^2b-28ab^2-2ab^2-7b^3=6a^3+13a^2b-30ab^2-7b^3
answer is
<h2>6a^3+13a^2b-30ab^2-7b^3</h2>
