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Goshia [24]
3 years ago
14

Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quan

tity 4 over x.
Mathematics
1 answer:
xenn [34]3 years ago
5 0

Answer:

1) Even for first problem.

2) Neither for the second.

I really think the problem I labeled 1 is the correct interpretation but just in case you meant the latter I wrote the latter as well. The sentence translates to exactly what I have for problem number 1.

The Problem:

1) Determine if f(x)=x+\frac{4}{x} is even, odd, or neither.

2) Determine if f(x)=\frac{x+4}{x} is even, odd, or neither.

Step-by-step explanation:

f(-x)=f(x) implies f is even.

f(-x)=-f(x) implies f is odd.

So either definition says we have to plug in -x.

1)

f(x)=x+\frac{4}{x} with new input -x:

f(-x)=-x+\frac{4}{-x}

f(-x)=-x+-\frac{4}{x}

f(-x)=-(x+\frac{4}{x})

f(-x)=-f(x)

This means f is even since we got the same thing we started with.

2)

f(x)=\frac{x+4}{x} with new input -x:

f(-x)=\frac{-x+4}{-x}

f(-x)=\frac{-(x-4)}{-x}

f(-x)=\frac{x-4}{x}

This is neither the same or the opposite of what we started with.

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Find the length of STV in the figure.
o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

l=\frac{\theta}{360^{\circ}}\times2\pi r, where r= radius of the cirle, \theta is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

Central angle of arc SCV = 140^{\circ}

Then, Central angle of arc SCV = 360^{\circ}-140^{\circ}=220^{\circ}

Then, the length of the arc STV =

l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}

Hence, the length of STV is about 76.83 in.

5 0
3 years ago
The area of a square piece of land is 784metersquared .What is the perimeter​
Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

The area (A) of a square is

A = s² ( s is the length of side )

Here A = 784 , then

s² = 784 ( take the square root of both sides )

s = \sqrt{784} = 28

Then

perimeter = 4s = 4 × 28 = 112 m

7 0
3 years ago
Read 2 more answers
How do i do this and tell me how u got the answer
EastWind [94]
Substitute.
2x+(2x -15) = -3

4x -15 = -3
Add 15 to both sides

4x = 12

Divide by 4

X=3

2(3) + y = -3

6+y=-3
-6 from both sides
Y=-9

(3,-9)
3 0
3 years ago
If your cell phone bill was 67.82 and there is a 1/20 late fee how much will your bill be with the late fee included?
almond37 [142]

Answer:

Assuming 1/20 is a 5% late fee:

$21.211

Step-by-step explanation:

67.82 x 1/20 = 3.391

67.82 + 3.391 = 71.211

4 0
3 years ago
An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, de
Pavlova-9 [17]

Answer:

the answer is b

Step-by-step explanation:

8 0
3 years ago
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