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3 years ago

How to solve this equation

Mathematics

1 answer:

erica [24]3 years ago

6 0

| x - 2 | + 4 < 7
-7< x - 2 + 4 < 7
-7 < x + 2 < 7
-9 < x < 5

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A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co

AlladinOne [14]

Answer:

$y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Step-by-step explanation:

Let x represent the time, in minutes, of her original flight plan.

Let y represents the time, in minutes, of her new flight plan.

The time of Original flight schedule = 4:00 pm

The number of minutes delayed by Original flight = 15 minutes

As the new flight plan is two times faster than original flight plan.

So, the equation of new flight plan will be:

$y = \frac{1}{2}x$

$y = \frac{x}{2}$

But, the original flight plan was delayed by 15 minutes. Hence, the equation to predict the number of minutes after 4:00 pm she will arrive at her destination will become:

$y = \frac{x}{2}+15$

So, $y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Keywords: equation, problem solving, word problem

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4 years ago

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Find the derivative of f(x)=2arcsin(x-1)

andreev551 [17]

Since $\dfrac{\mathrm d}{\mathrm dx}\arcsin x=\dfrac1{\sqrt{1-x^2}$ , you have

$\displaystyle\frac{\mathrm d}{\mathrm dx}2\arcsin(x-1)=2\frac{\mathrm d}{\mathrm dx}\arcsin(x-1)=2\frac{\dfrac{\mathrm d}{\mathrm dx}(x-1)}{\sqrt{1-(x-1)^2}=\frac2{\sqrt{2x-x^2}}$

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4 years ago

PLZ HELPP ASAP :))))))

leva [86]

Answer:

x = 91.5

Step-by-step explanation:

for 30.5 miles travelled gas used is 1 gallon ← unit rate

To calculate distance travelled multiply gas used by 30.5

For 3 gallons used

distance travelled = 3 × 30.5 = 91.5 miles

⇒ x = 91.5

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3 years ago

Factor completely 5b^3+30b^2+40b

Crank

Answer:

It would be the second choice

Step-by-step explanation:

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3 years ago

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What is the least common multiple for 5and8

VladimirAG [237]

A least common multiple should have all factors of the numbers, for which we want to know the least common multiple.

5 and 8 do not have common factors, so their common multiple is 5*8=40

Answer is 40.

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3 years ago