Anna runs at a rate of to reach her goal.
<u>Step-by-step explanation:</u>
Here we have , Anna wants to run 10-mile race in under 50 minutes. We need to find What rate, miles per hour, must she maintain to reach her goal. Let's find out:
Anna wants to run 10-mile race in under 50 minutes , i.e. she runs at a rate of:
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Therefore , Anna runs at a rate of to reach her goal.
Answer:
x = ± , x = ± i
Step-by-step explanation:
f(x) = - x² - 2
to find the zeros , equate f(x) to zero , that is
- x² - 2 = 0
using the substitution u = x² , then
u² - u - 2 = 0 ← in standard form
(u - 2)(u + 1) = 0 ← in factored form
equate each factor to zero and solve for u
u - 2 = 0 ⇒ u = 2
u + 1 = 0 ⇒ u = - 1
convert u back into terms of x
x² = 2 ( take square root of both sides )
x = ±
x² = - 1 ( take square root of both sides )
x = ± = ± i