Answer:
1. D
2. B
Step-by-step explanation:
<u>Question 1:</u>
We can get Avon's earnings using the equation 
Where W is his earnings
HR is the regular hours (40 hours in this case)
V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)
B is bonus (no bonus)
T is tips ( $100 tips, given)
and R is the rate (which is $5 per hour)
<em>Substituting the given info into the equation, we get:</em>
<em>
</em>
<em>So avon's earnings are $341.25</em>
<em>Answer choice D is right.</em>
<u>Question 2:</u>
The other employee needs to work 
hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:
Rounded to 1 decimal place, this is about 28.5 hours
Answer choice B is right.
Hi there! :)
4x + 5x + 12 = 6(x - 2)
Combine like terms and distribute the coefficient outside of the parenthesis:
9x + 12 = 6(x) + 6(-2)
9x + 12 = 6x - 12
Subtract 6x from both sides:
9x - 6x + 12 = 6x - 6x - 12
3x + 12 = -12
Subtract 12 from both sides:
3x + 12 - 12 = -12 - 12
3x = -24
Divide both sides by 3:
3x/3 = -24/3
x = -8.
The result of the square root of the equation A = 121 ft² is √A = 11 ft
<h3>What are square roots?</h3>
Square roots are numbers multiplied by itself to give another number
<h3>How to determine the square root?</h3>
The equation is given as:
A = 121 ft²
Take the square root of both sides
√A = √121 ft²
Evaluate the square root
√A = 11 ft
Hence, the square root of the equation A = 121 ft² is √A = 11 ft
Read more about square roots at:
brainly.com/question/98314
#SPJ1
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
You need to know that not a cheat
