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olga_2 [115]
3 years ago
11

Which is the solution to the inequality? y+15<13 A:y<-12 B:y>-12 C:y<18 D:y>18

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0
The answer is A because anything less than a negative will be just a even bigger negative
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A van travels 125 miles on 5 gallons of gas. Find the distance the van can travel if the fuel tank contains 12 gallons of gas???
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Find x. Assume that any segment that appears to be tangent is tangent.
Mamont248 [21]
The value of x is 21.

To find this one, we need to know the formula with intersecting lines outside of the circle.

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3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
mash [69]

Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

y=-16x^2+165x+69

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>

<em />0=-16x^2+165x+69<em />

We can use the quadratic formula:

\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.

Substitute:

\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}

Evaluate:

\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}

Hence, our solutions are:

\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40

Since time cannot be negative, we can ignore the first answer.

So, the rocket hits the gorund after approximately 10.71 seconds.

7 0
3 years ago
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