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3 years ago

The slope of a hill next to a highway decreases 2 vertical feet for every 3 horizontal feet away from the highway.

Mathematics

1 answer:

Novay_Z [31]3 years ago

8 0

Slope is the change in Y ( vertical) over the change in X( horizontal).

The slope would be -2 /3

You would multiply the horizontal distance by the slope:

-2/3 x 12 = -8

The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.

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Step-by-step explanation:

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3 years ago

If A's income is 25% less than that of B, then how much percent is B's income more than that of A?

saul85 [17]

Let's say that B makes $100.

Then A makes $75.

So, your question then becomes 100 is what percent of 75?

This can be solved by setting up the proportion 100 / 75 = x / 100

75x = 10000

x = 133.3

So, B's income is 33.3% more than A's income.

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3 years ago

For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).

Softa [21]

Answer:

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Step-by-step explanation:

$f(x)=4x+1$

$g\left(x\right)=x^2\:-\:5$

(g/f)(x) = g(x) / f(x)

$=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:$

$=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Therefore,

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

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2 years ago

Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is

SVEN [57.7K]

<u>The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.</u>

<em>Hopefully, it correct.... :)</em>

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2 years ago

A bowl of candy contains 7 chocolate candies and 6 lemon candies. Choosing one piece of candy at random, find the probability of

Dominik [7]

Answer:

53.846%

Step-by-step explanation:

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3 years ago

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