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oksian1 [2.3K]
3 years ago
11

Determine whether each of the following functions is even, odd, or neither even nor odd.

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

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What is the volume of the cylinder? Round your answer to the nearest whole number??
andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \pi r^2h, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

  • \pi * 3^2 * 5

Step 2: Simplify.

  • 3.14 * 9 * 5
  • 28.26 * 5
  • 141.3
  • 141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
2 years ago
. One-fifth of the plants in a garden are grape tomato plants. Two-ninths of the plants in the garden are cherry tomato plants.
vodomira [7]

Answer:52

Step-by-step explanation:

Given

one-fifth of the plants in a garden are grape tomato plant

two-ninth of the plants in the garden are cherry tomato plants

Also there are 18 grape tomato and 20 cherry tomato plants.

Let Total plants be x

Then Grape tomato plants =\frac{x}{5}=18

x=90

thus there are total of 90 plants

also grape tomato+cherry tomato=18+20=38

Thus there are 90-38=52 remaining plants.

6 0
3 years ago
Which is greater, 300 kelvins or 25 degrees Celsius? Show your work
Mademuasel [1]
300 kelvin is greater.

300 kelvin equals approximately 26.85°C
6 0
3 years ago
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at
Ahat [919]
Distance = r x t ===> t=d/r

Distance (after 2 hours driving @30mil/hr) = 2 x 30 = 60 Mil

To drive same distance (60)  with r = 50, the time needed is 60/50 =1.2 hrs
8 0
3 years ago
A box of cashews peanuts and almonds contains 270 nuts. for every 5 cashews there are 6 peanuts and 7 almonds. How many more are
yKpoI14uk [10]
For every 5 cashews, there are 6 peanuts and 7 almonds.

Means:    Cashews:Peanuts:Almonds = 5:6:7

Sum of ratio = 5 + 6 +7 = 18

Cashews =    (5/18) * 270 = 75


Peanuts =    (6/18) * 270 = 90


Almonds =    (7/18) * 270 = 105

So how many more what are there than peanuts?

The number of that nuts Minus the number of peanuts.

= Number of that nuts  -  90
5 0
3 years ago
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