Answer:
he area that is un-shaded is (x-3)(x-6).
The entire area is (2x+2)(3x-4).
Area of the shaded region is:
(2x+2)(3x-4) - (x-3)(x-6) =
(6x2-2x-8) - (x2-9x+18) =
6x2-2x-8-x2+9x-18 =
5x2+7x-26 hopes this help btw (;
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So

The manager can select a team in 61425 ways.
Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
Answer:
<u>The four employees earned $ 452.80 in total</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Hour rate = $ 8.20
Overtime hour rate = $ 2.20 extra
Regular hours = 10
Overtime hours = 3
Number of employees = 4
2. How much money did they earn in total?
Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:
Individual pay = 10 * 8.20 + 3 * 10.40
Individual pay = $ 113.20
Total pay = Individual pay * 4
Total pay = 113.20 * 4
<u>Total pay = $ 452.80 </u>
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need

So the domain is R\{-2, 2}
d)
we need

So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)