2 years ago

How many Solutions does 5p + 3 = 5p - 1 have?

Mathematics

1 answer:

Tresset [83]2 years ago

4 0

No solution because 3=-1 isn’t true.

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2 years ago

When an octave is divided into twelve equal steps, a chromatic scale results. The ratios between sucessive notes is

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An elementary school received a donation of 1,000 dollars.The school has 4 kindergarten classes and three classes each in grades

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You’re making deliveries and can travel 324 miles on 18 gallons of gas. How far can you travel on 41 gallons of gas?

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The fuel economy of a car, measured in miles per gallon, is modeled by the function ƒ(s) = –0.009s2 + 0.699s + 12 where s repres

Kisachek [45]

Answer:

The maximum fuel economy of the car is 25.57225

Step-by-step explanation:

we are given

$f(s)=-0.009s^2+0.699s+12$

where

where s represents the average speed of the car, measured in miles per hour

So, we have to maximize f(s)

So, firstly we will find derivative

$f'(s)=-0.009*2s+0.699*1+0$

$f'(s)=-0.018s+0.699$

now, we can set it to 0

and then we can solve for s

$f'(s)=-0.018s+0.699=0$

$s=\frac{233}{6}$

To find maximum fuel economy , we can plug s into f(s)

$f(\frac{233}{6})=-0.009(\frac{233}{6})^2+0.699(\frac{233}{6})+12$

$f(\frac{233}{6})=25.57225$

So,

The maximum fuel economy of the car is 25.57225

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3 years ago

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