Ask question

Ask question

All categories

3 years ago

14

Given the following absolute value function find the range f(x)= |x+5|-8

1 answer:

Flauer [41]3 years ago

3 0

The minimum value for |x+5| is 0, so the minimum for f(x) is 0-8=-8.
There is no maximum for |x+5|, so neither does f(x).
Therefore the range of f(x)=|x+5|-8 is [-8,+inf) in interval notation, or
from -8 to infinity in words.

You might be interested in

I’m really struggling! Please help me!!

Andrew [12]

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

$tan(37) = \frac{opposite}{adjacent}$

$tan(37) = \frac{6}{x}$

tan(37) evaluates to about , so we can plug it in and solve for x:

$0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962$

To the nearest tenth, x rounds to 8.0.

4 0

2 years ago

A rectangle has a length of 6.5m and a width of 7.3m what is the area and the perimeter

Bad White [126]

Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>:</u></em></h3>

Length of the rectangle = 6.5 m

Width of the rectangule = 7.3 m

<h3><em><u>Then</u></em><em><u>:</u></em></h3>

<u>First</u><u> </u><u>case</u><u>,</u>

Area of the rectangle

= length × width

= 6.5 m × 7.3 m

= <em><u>47.45</u></em><em><u> </u></em><em><u>s</u></em><em><u>q</u></em><em><u>.</u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>i</u></em><em><u>)</u></em>

<u>Second</u><u> </u><u>case</u><u>,</u>

Perimeter of the rectangle

= 2(length + width)

= 2(6.5 + 7.3)m

= 2 × 13.8 m

= <em><u>27</u></em><em><u>.</u></em><em><u>6</u></em><em><u> </u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>ii</u></em><em><u>)</u></em>

5 0

3 years ago

Read 2 more answers

Divide 36x^3-96x^2+48x by 12x

sergij07 [2.7K]

Answer:

3x^2 - 8x + 4.

Step-by-step explanation:

36x^3 - 96x^2 + 48x

Dividing by 12 term by term:

= 3x^2 - 8x + 4.

5 0

3 years ago

Read 2 more answers

A number between 1 and 3 is chosen 30 times. Results are shown in the table below. What is the experimental probability of picki

GuDViN [60]

The chances of picking an even number (that is not odd) would be 1 out of 3

8 0

3 years ago

Describe what math step you would do to solve this equation ?

Vanyuwa [196]

Answer:

Multiply each side by 14.7

Step-by-step explanation:

cos 50 = m / 14.7

Multiply each side by 14.7

14.7 cos 50 = m /14.7 *14.7

14.7cos 50 = m

6 0

4 years ago

Read 2 more answers