Astudent believes she can earn between $5200 and $6250 from her summer job. she knows that she will have to buy four new tires for her car at $90 each. she estimates her other expenses while she is working at $660. how much can the student save from her summer wages?

4180 to 5230$

Step-by-step explanation:

1. Lets find the expenses she has to make -> 4*90+660=1020$(4 new tires + other expenses)

2. As her income is not set strictly we can guess the range she can save(More accurate calculations depends on her strict incomes). We have 5200-1020=4180$(if she gets paid 5200$) and 6250-1020= 5230$(if she gets paid 6250$).

3. So the range of savings vary from 4180 to 5230$$.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15