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2 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

Zepler [3.9K]2 years ago

3 0

Answer:

D. F(x) = 1/(x +5)²

Step-by-step explanation:

The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...

F(x) = 1/(x +5)²

_____

<em>Additional comment</em>

The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.

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3 years ago

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3 years ago

WILL GIVE BRAINLIEST

Olegator [25]

The answer is A.
We can first eliminate D since it uses these (<, >) signs and the lines are shaded, indicating the points on those lines are solutions.
We can also eliminate C because the y intercept in C’s lines is 2, while in the graph, they are both 3.
Finally, we can look at both inequalities on the graph and see that the shaded areas are both underneath the line. This means that y is less than the equation for the line, eliminating B
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7 0

3 years ago

A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

DedPeter [7]

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

$Hypotenuse^2=Short\ leg^2+Shortest\ leg^2$

$Hypotenuse^2=10^2+8^2$

$Hypotenuse^2=100+64\\Hypotenuse^2=164$

Taking square root both sides.

$\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles$

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

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3 years ago