Evaluate the expression below a - cd for a = -2, c = 5, d = -3|

Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?

vitfil [10]

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

$f(x)=9-4x^2$

If $f(-x)=f(x)$ , then $f(x)$ is an even function.

If $f(-x)=-f(x)$ , then $f(x)$ is an odd function.

Now, substitute x=-x in the given function.

$f(-x)=9-4(-x)^2$

$f(-x)=9-4(x)^2$

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

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether $9-4(-x)^2$ is equivalent to $-(9-4(x)^2)$ .

Therefore, the correct option is C.

6 0

3 years ago

Casey wants to buy a gym membership. One gym has a $176 joining fee and costs $29 per month. Another gym has no joining fee and

kaheart [24]

Answer:

8 months for cost to be same, cost will be $408

Step-by-step explanation:

x = months

176 + 29x = 0 + 51x

176 = 22x

8 = x

176 + (29*8) = 408

0 + (51*8) = 408

3 0

3 years ago

the amount of money in an account with continuously compounded interest. calculated to the nearest tenth of a year how long it t

pentagon [3]

You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years = 13.3297534723 
Rounding to the nearest tenth of a year:
Years = 13.3

Source:
http://www.1728.org/rate2.htm

6 0

2 years ago

A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inche

evablogger [386]

The area of the frame not covered by the painting is 192 square inches

Solution:

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

$Area = length \times width$

Find the area of painting without frame:

Length = 20 inches

Width = 24 inches

$Area\ Without\ Frame = 20 \times 24 = 480$

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

Find the area of painting with frame:

Length = 24 inches

Width = 28 inches

$Area\ with\ frame = 24 \times 28 = 672$

Thus area of painting with frame is 672 square inches

What is the area of the frame not covered by the painting

Area of the frame not covered by the painting = Area with farme - Area without frame

Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

4 0

3 years ago

Which of the following limits does not yield an indeterminate form?

djyliett [7]

There are no examples to answer this.

3 0

2 years ago