Answer: you spent 250 hours during your cleanup.
you spent 150 hours painting
Step-by-step explanation:
Let x represent the number of hours that you spent during your cleanup.
Let y represent the number of hours that you spent painting.
you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that
8x + 12y = 3800- - - - - - - - - -- 1
You worked a total of 400 hours. This means that
x + y = 400
Substituting x = 400 - y into equation 1, it becomes
8(400 - y) + 12y = 3800
3200 - 8y + 12y = 3800
- 8y + 12y = 3800 - 3200
4y = 600
y = 600/4 = 150 hours
Substituting y = 150 into x = 400 - y, it becomes
x = 400 - 150
x = 250 hours
Answer:
Simplifying the expression eliminating the parentheses:
(-5 u^2 w)^3 = -125 u^6 w^3
Step-by-step explanation:
(-5 u^2 w)^3 = (-5)^3 (u^2)^3 (w)^3
(-5 u^2 w)^3 = (-5)(-5)(-5) u^(2 x 3) w^3
(-5 u^2 w)^3 = -125 u^6 w^3
5x + 4x + 1
Add the 5 and 4 together.
9x + 1
Your awnser is 9x + 1. :)
Answer:
See Explanation
Step-by-step explanation:
Given


---- Missing table
Required
Complete the table and plot the graph
First, we determine the equation of the table:

implies that:

So:



To complete the table, we have:






So, the complete table is:

See attachment for graph
Part 1.
A. x=0 can be used for function that have x≤1, so f(x) =x²
B.You need substitute x by 0. x=0,
then
f(0) = 1) x² =0² =
0 x≤1 Part 2.
A. f(x) =x², Graph is attached.
B. f(x) =2x+1, Graph is attached.
C. The functions will change in the point x=1
For f(x) =x² , x ≤1 ; f(1) = 1. The point (1,1) is included, the dot should be filled (closed).
For the function f(x)=2x+1, x>1. The point f(1)=3 is not included, the dot should be empty(open).
D. Point(1,1) is closed(filled circle), point (1,3) is open(empty circle).