All categories

3 years ago

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Your function is: $f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1$

Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$

Range: $[-\frac{3}{2}, -\frac{1}{2}]$

Midline: $y=-1$

prisoha [69]3 years ago

5 0

I’m not sure but next time a picture of the question might help!

You might be interested in

Please help find the amount of interior angles in the shape.

gladu [14]

The polygon has 11 sides.

The measure each interior angle is 147.272°.

Solution:

The given shape is a regular polygon.

(a) Number of sides of the polygon = 11

The polygon has 11 sides.

(b) To find the measure of each interior angle:

Each interior angle of a regular polygon

$$=\frac{(n-2) \times 180^{\circ}}{n}$

$$=\frac{(11-2) \times 180^{\circ}}{11}$

$$=\frac{9 \times 180^{\circ}}{11}$

$=147.272^\circ$

The measure each interior angle is 147.272°.

8 0

3 years ago

Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro

Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

$D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10$

Total outcomes:

2 components, from a set of 6. So

$T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15$

Probability:

$p = \frac{D}{T} = \frac{10}{15} = 0.6667$

66.67% probability that all selected components function properly

3 0

3 years ago

Korolek [52]

The answer to this question is true. If i'am right this from k12 and edg-enuity. have a good day bro. ;)

4 0

3 years ago

What value of b will cause the system to have

Tresset [83]

9514 1404 393

Answer:

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0

3 years ago

A jewelry maker purchased 20 inches of gold chain.She used 3/8 of the chain for a bracelet. How many inches of gold did she have

Mazyrski [523]

Answer:

12.5 inches of gold chain.

Step-by-step explanation:

To get the remaining chain of gold we need to calculate

8/8 - 3/8 = 5/8 of 20 inches

then multiply:

20 * 5/8 = 100/8

100/8 = 12.5 inches

7 0

3 years ago

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?​

What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?