Sara is taking a test made up of multiple choice and open ended questions. The multiple choice questions have a value of 4 points each, and the open ended questions have a value of 5 points each. If Sara has already answered 10 multiple choice questions correctly, which inequality best describes the amount of ope ended questions Sara must answer correctly to earn more than 70 points?

70-40=6(x)

'x' is the number of questions that must be answered

Step-by-step explanation:

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