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3 years ago

Explain why the function y=1-cosx is an even function

Mathematics

1 answer:

Oksanka [162]3 years ago

8 0

A function is said to even if it returns the same output when given two opposite inputs:

$f(x) = f(-x)$

In your case, you have

$f(x) = 1-\cos(x), \quad f(-x) = 1-\cos(-x)$

And since $\cos(x) = \cos(-x)$ , the proof is concluded.

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There is a line whose slope is 7 and whose y-intercept is 9. What is its equation in slope-intercept form?

Alex73 [517]

Answer:

Y=7x+9

Step-by-step explanation:

Y=mx + b

b= y-intercept

m=slope

Substitute:

Y=7x+9

4 0

3 years ago

An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob

melomori [17]

Answer:

$26.5265$

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation $\sigma$ is known, the formula for a confidence interval for a population mean $\bar x$ is:

$\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}$

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

$\bar x=28.2,\ \sigma=2.7, \ n=10$

Calculating the confidence interval

$\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}$

$\displaystyle 28.2 \pm 1.6735$

Or, equivalently

$26.5265$

6 0

3 years ago

You deposit $600 in a savings account. The account earns 10% simple interest per year. a. What is the interest earned after 10 y

Mrac [35]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The function f(x) is represented by the table below. What are the corresponding values of g(x) for the transformation g(x) = 6f(

g100num [7]

Answer:

Given: The transformation g(x) =6f(x) ......[1]

To find the corresponding values of g(x) for the given transformation.

At x = -7, f(x) = 8

then,

By substituting the value of f(x) = 8 in [1] we have

$g(x) = 6 \cdot 8 =48$

Similarly,

For x= -3 , f(x) = 3, then

By substituting the value of f(x) = 3 in [1] we have

$g(x) = 6 \cdot 3 =18$

For x= 0, f(x) = -1 , then

By substituting the value of f(x) = -1 in [1] we have

$g(x) = 6 \cdot -1 =-6$

For x= 2, f(x) = 7, then

By substituting the value of f(x) = 7 in [1] we have

$g(x) = 6 \cdot 7=42$

For x= 10, f(x) = 5, then

By substituting the value of f(x) = 5 in [1] we have

$g(x) = 6 \cdot 5=30$

Therefore ; we have the corresponding values of g(x) as shown below;

x f(x) g(x)

-7 8 48

-3 3 18

0 -1 -6

2 7 42

10 5 30

5 0

3 years ago

Read 2 more answers

(Pls help) I need help finding x!

Ray Of Light [21]

Answer:

x ≈ 46°

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x

sinx = $\frac{opposite}{hypotenuse}$ = $\frac{10}{14}$ , hence

x = $sin^{-1}$ ( $\frac{10}{14}$ ) ≈ 46°

8 0

3 years ago