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3 years ago

LaTanya will walk (3 mi/hr) her bike from her house to the

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

Answer:

1.15 hr

Step-by-step explanation:

Given that:

To get bike fixed :

Speed = 3 miles per hour

Distance = 1.5 miles

Time taken = distance / speed

Time taken = 1.5 / 3 = 0.5 hour

Waiting time for repair = 30 minutes = 0.5 hours

Return home :

Speed = 10 miles per hour

Distance = 1.5 miles

Time taken = distance / speed

Time taken = 1.5 / 10 = 0.15 hour

Total time : (0.5 + 0.5 + 0.15) = 1.15 hr

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3 years ago

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Nutka1998 [239]

Answer:

$x=-3\pm i \sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Algebra II

Imaginary roots: √-1 = i

Step-by-step explanation:

Step 1: Define function

f(x) = -x² - 6x - 14

Step 2: Set up

Set equation equal to 0: -x² - 6x - 14 = 0
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Step 3: Define variables

a = 1

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Step 4: Find roots

Substitute: $x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}$
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Multiply: $x=\frac{-6\pm\sqrt{36-56} }{2}$
Subtract: $x=\frac{-6\pm\sqrt{-20} }{2}$
Factor: $x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}$
Simplify: $x=\frac{-6\pm2i \sqrt{5} }{2}$
Factor: $x=\frac{2(-3\pm i \sqrt{5} )}{2}$
Divide: $x=-3\pm i \sqrt{5}$

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Step-by-step explanation:

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Answer:

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