Two possible solutions are: (4.5, 8.5) and (8, 6.3)
<h3>How to graph the inequality?</h3>Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
Read more about inequalities at:
#SPJ1
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
