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3 years ago

The function d(t)=300,000t represents the distance (in kilometers) that light travels in t seconds.

Mathematics

1 answer:

Korolek [52]3 years ago

3 0

Answer:

a. The light travels 4,500,000 kilometers in 15 seconds

b. It takes the light 40 seconds to travel 12 million kilometers

Step-by-step explanation:

- The function d(t) = 300,000 t represents the distance in kilometers

that light travel in t seconds

- We need to find how far the light travels in 15 seconds

∵ d(t) = 300,000 t

∵ t = 15 seconds

- Substitute the value of t in the function above

∴ d(t) = 300,000 (15)

∴ d(t) = 4,500,000 kilometers

The light travels 4,500,000 kilometers in 15 seconds

- We need to find how long does it takes the light to travel 12 million

kilometers

∵ d(t) = 12 million kilometers = 12,000,000 km

∵ d(t) = 300,000 t

- Substitute the value of d(t) in the function

∴ 12,000,000 = 300,000 t

- Divide both sides by 300,000

∴ t = 40 seconds

It takes the light 40 seconds to travel 12 million kilometers

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The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

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3 years ago

(03.05 MC) Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for

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Answer:

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Step-by-step explanation:

We must solve the following rational equation:

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Now we present the procedure:

1) $\frac{x}{2} = \frac{x^{2}}{x-2}$ Given

2) $x\cdot (x-2) = 2\cdot x^{2}$ Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) $x^{2}-2\cdot x = 2\cdot x^{2}$ Distributive property/ $a^{b}\cdot a^{c} = a^{b+c}$

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Now we check the rational equation with each root:

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$\frac{0}{2} = \frac{0^{2}}{0-2}$

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$0 = 0$

x = 0 is a solution of the rational equation.

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Answer:

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Step-by-step explanation:

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