Answer:
The polynomial simplified would be a^2 + 30
I hope this helps you:))
P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.
2) | x - 4 | - 3 > 5
3) | 6 + 9x | ≤ 24
4) | 1 - 5a | > 29
QUESTION 1
The given inequality is
We group like terms to get,
This implies that,
or .
We simplify the inequality to get,
or .
We can write this interval notation to get,
.
QUESTION 2
.
We group like terms to get,
.
We split the absolute value sign to get,
or
This implies that,
or
or
or
We can write this interval notation to get,
.
QUESTION 3
The given inequality is
We split the absolute value sign to obtain,
or
This simplifies to
and
and
and
and
We write this in interval form to get,
QUESTION 4
The given inequality is
We split the absolute value sign to get,
or
This simplifies to,
or
This implies that,
or
or
or
We write this in interval notation to get,
Answer:
You need to paint 9 faces to earn $15 in profit.
Step-by-step explanation:
Given : You buy painting supplies for $12, and you charge $3 per person to paint faces.
To find : How many faces will you need to paint to earn $15 in profit?
Solution :
Let x represent the number of faces painted.
According to question,
Solving equation,
Therefore, You need to paint 9 faces to earn $15 in profit.
Investment = $12
For $15 profit, I have to earn, 12+15 = $27
Charge for 1 person(for paint faces) = 3
multiply by 9,
9 persons= $27
So, 9 person is the answer.