2. Mr. Jansen needs to order picture frames for his paintings. He has $4,000 to buy 98 frames priced at $42 each. Mr. Jansen says he has enough money because 100x40=4,000. Is his reasoning corrector not? Explain your reasoning.

The reasoning isn't correct

Step-by-step explanation:

This is becuase the given amount for each frame is 42 dollars not 40 like it is listed in the equation. Another reason the reasoning from Jansen is wrong is because he wants to buy 98 frames, not 100 like it was listed in the equation.

its the fourth option

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