Someone help me out really quick

Roots: 3.746 and -13.746

Vertex: (-5, 153)

Step-by-step explanation:

Let us use these facts to solve the question

∵ y = -2x² - 20x + 103

→ Compare it by the form of the equation above

∴ a = -2, b = -20, and c = 103

→ To find its roots equate y by 0

∵ 0 = -2x² - 20x + 103

→ Use your calculator to find the values of x

∴ x = 3.746427842 and x = -13.74642784

→ Round them to 3 decimal places

∴ x = 3.746 and x = -13.746

∴ Roots: 3.746 and -13.746

→ To find its vertex use the rule of h above

∵ a = -2 and b = -20

∵ h = =

∴ h = -5

→ To find k substitute y by k and x by -10 in the equation

∵ k = -2(-5)² - 20(-5) + 103

∴ k = -2(25) + 100 + 103

∴ k = -50 + 100 + 103

∴ k = 153

∴ The vertex of the quadratic is (-5, 153)

∴ Vertex: (-5, 153)

answer: 12

step-by-step explanation:

because yes

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).