For each equation, determine the number of solutions and place on the appropriate field in the table. 3x2 + 24x = -48 4x2 - 16x = 0 5x2 + 2 = 4x 3(x + 5)2 = -2

A). 3x² + 24x = -48 ---- one solution x = -4

B). 4x² - 16x = 0 --- two real solutions x = 0, 4

C). 5x² + 2 = 4x ---- has no real solution

D). 3(x + 5)² = -2 ---- has no real solution

Step-by-step explanation:

We will solve each equation to get the solutions.

A).3x² + 24x = -48

we divide this equation by 3

x² + 8x = -16

x² + 8x + 16 = 0

(x + 4)² = 0

x = -4

There is only one solution, x = -4

B). 4x² - 16x = 0

4x(x - 4) = 0

x = 0 and x = 4 are the solutions.

C). 5x² + 2 = 4x

5x² - 4x + 2= 0

We will find the value of discriminant (b²- 4ac)

= (-4)²- 4(5)(2)

= 16 - 40

= -24 < 0

So this equation has no real solution.

D). 3(x + 5)² = -2

    (x + 5)² =

    (x + 5) =

     x = -5 +

So this equation has no real solutions.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.