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Mathematics

1 answer:

Maslowich2 years ago

5 0

Answer:

Step-by-step explanation:

This function can never equal 0. Why? well here:

(f/g)(x) also just means $\frac{f(x)}{g(x)}$ . In this case, we get $\frac{x^2-x-12}{x-4}$ Or $\frac{(x+3)(x-4)}{x-4}$ . It seems like you can cancel out x-4 and bam, you get x+3 and any value should work.

However, x can never equal 4 because 4 leads to a case where you divide by 0. This is called discontinuity. Thus, the value you can't get is x=4, or 7 because when you plug 4 in, you get 0/0. Otherwise, any other real value is defined by x+3.

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8.546 rounded to the nearest hundredth

Thepotemich [5.8K]

Answer:

8.55

Step-by-step explanation:

6 0

2 years ago

A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .