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serg [7]
3 years ago
9

Explain why the function of f(x)=4x^2+8x is neither even or odd

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

Step-by-step explanation:

We need to explain why the function of f(x)=4x^2+8x is neither even or odd

First we will understand, when the function is even and odd

Even function:

<em>A function is even if f(-x) = f(x) </em>

Odd function:

<em>A function is odd if f(-x) = -f(x) </em>

So, if we get the above result by putting x = -x, then we can say that the function is even or odd.

If we don't get any of the above results then the function is neither even nor odd.

So, for the given function: f(x)=4x^2+8x

Put x = -x

f(x)=4x^2+8x\\Put x=-x\\f(-x)=4(-x)^2+8(-x)\\f(-x)=4x^2-8x

So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

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A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space,
Alchen [17]

Answer:

24(\frac{1}{2})^{n-1}

Step-by-step explanation:

<u>Complete Question:</u>

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?

<u>Solution:</u>

First Swing:

24 m

Second Swing:

Half of first, so

24(1/2)

Third Swing:

Half of second, so:

24(1/2)(1/2)

Fourth Swing:

24(1/2)(1/2)(1/2)

So we see the general formula as:

24(\frac{1}{2})^{n-1}

<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1

where n is the number of swings

7 0
3 years ago
Read 2 more answers
The formula that describes an object's motion is given by S=ut+1/2at^2 , where S is the distance traveled, u is the initial velo
RSB [31]
S = ut + (1/2)a(t²)                            Subtract ut from both sides
(1/2)a(t²) = S - ut                            Multiply both sides by 2
a(t²) = 2s - 2ut                                Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)
5 0
3 years ago
HELP HELP HELP HELP 15 Points
stich3 [128]
W=2j, m=5w, (m+4)=6(j+4)  

using w from first in second you get:

m=5(2j)=10j, m+4=6j+24

m=10j, m=6j+20, since m=m we can say

10j=6j+20

4j=20

j=5, and since m=10j

m=50

So the man is 50 years old
5 0
3 years ago
Read 2 more answers
A rectangular field is 0.3 kilometers long and 0.15 kilometers wide. What is the area of the field in square meters?
Anika [276]

Answer:

4.5 meters

Step-by-step explanation:

The formula for the area of a rectangle is length x width. Using this formula, you can substitute the given information and find the area:

length x width = area

0.3km x 0.15km = area

0.045km = area

Finally, you can now convert square kilometres into square meters by multiplying by 100:

0.045 x 100 = 4.5 meters

6 0
3 years ago
A building with a cost of $1,800,000 has an estimated residual value of $125,000, has an estimated useful life of 40 years, and
nika2105 [10]

Answer:

$41,875

<u>Extra</u>

a. $17,250 [($780,000 – $90,000) ÷ 40]

b. $366,000 [$780,000 – ($17,250 × 24 yrs.)]

c. $29,600 [($366,000 – $70,000) ÷ 10 yrs.]

Step-by-step explanation:

Step 1: Determine the cost of the asset

1,800,000

Step 2: Subtract the estimated salvage value of the asset from the cost of the asset to get the total depreciable amount

1,800,000 - 125,000

Step 3: Determine the useful life of the asset

40

Step 4: Divide the sum of step (2) by the number arrived at in step (3) to get the annual depreciation amount

$41,875

5 0
3 years ago
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