Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative
(x-14)(x-2)=0
set each to zero
x-14=0
x=14
x-2=0
x=2
x=2 and 14
Answer:
<em>The shortest side of the fence can have a maximum length of 80 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:

This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:

Simplifying:

Subtracting 20:


Solving:


The shortest side of the fence can have a maximum length of 80 feet
Answer: The cost of hiring a house painter will cost $60 per day
Option A: 6x^2+75x+200 is the correct answer
Step-by-step explanation:
The profit is obtained by subtracting the cost from the revenue.
Given

The Profit function will be obtained by subtracting the cost function from the revenue function
So,

Hence,
Option A: 6x^2+75x+200 is the correct answer
Keywords: Functions, function operations
Learn more about functions at:
#LearnwithBrainly