Answer:

Step-by-step explanation:
STEP 1: Rewrite
as
.

STEP 2: Let
. Substitute
for all occurrences of
.

STEP 3: Factor
using the AC method.

STEP 4: Replace all occurrences of
with
.

STEP 5: Rewrite
as
.

STEP 6: Since both terms are perfect squares, factor using the difference of squares formula,
where
and
.

STEP 7: Rewrite
as
.

STEP 8: Factor.

Answer:
job estimate = $60.1875
Explanation:
1- labor payment:
The hourly rate is $7.5 and the job will take around 2.5 hours. This means that:
labor payment = 7.2 * 2.5 = $18.75
2- Overhead value:
The overhead value is 85%.
This means that:
its cost would be = 85% * labor payment
= 0.85 * 18.75
= $15.9375
3- Retail cost:
We are given that the retail cost is $25.5
4- getting the job estimate:
job estimate = labor payment + overhead cost + retail
job estimate = 18.75 + 15.9375 + 25.5
job estimate = $60.1875
Hope this helps :)
We need to solve this system
<span>(3x + 2y = 36.50) *5
(2x + 5y = 50.00) *(-2)
15x+10y= 182.5
-4x -10y= -100
11x=82.5
x= 7.50 at the library
</span>2x + 5y = 50.00
<span>2*7.5+5y=50
15+5y=50
5y=35
y=7 at coffee cart
So,
correct answer is
</span><span>C.Percy earns a greater hourly wage of $7.50 at the library.</span><span>
</span>
Answer:
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Answer:
Step-by-step explanation:
First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).
Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).
Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.