June needs at least $575 to go on a vacation. She earns $10 an hour for babysitting and already has $252 saved for the trip. Which inequality can be used to find the number of hours she needs to babysit

Step-by-step explanation:

Given

-- atleast

per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

In inequalities:

At least means

So, when the total earnings is added to her savings, we have:

Substitute values for Savings, Total Earnings and Target

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1