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Fudgin [204]
3 years ago
13

F(x) = 3x^4 is even or odd?

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

even function

Step-by-step explanation:

recall that:

a function is EVEN if and only if f(-x) = f(x) for all x in the domain of f

a function is ODD if and only if f(-x) = -f(x) for all x in the domain of f

we observe that for the function

f(x) = 3x^4

because x has been raised to an even power, that f(x) will always be positive (or zero), regardless of whether x is negative or positive.

i.e

f(x) = f(x)   and   f(-x) = f(x)

This behavior is described by the definition of an EVEN function (given above)

Hence f(x) is an even function

lara31 [8.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

it's even because f(-x)=f(x)

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21 is 35% of what number ​
spin [16.1K]

Answer:

21 is 35% of 60

Step-by-step explanation:

35% can be written as 0.35

0.35x = 21   ----- 0.35 times a number is 21

divide both sides by 0.35:

x = 60

4 0
3 years ago
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Oduvanchick [21]

Answer:

Mathematically speaking, both of these are what are called measures. They are ways of getting at the size of something.

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The consequence of this is that circumference is measured in units like centrimetres, or inches, or miles. But area is measured in units like square-centimetres, square inches, or square miles.

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3 years ago
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Two friends Anthony and Jeff both had summer jobs. Anthony made $84 over 3 months and Jeff made $100 over 4 months. Jeff said th
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Anthony made three more dollars a month. 84/3 is 28 (Anthony) which is greater than 100/4 (25) (Jeff)
5 0
3 years ago
Verify whether the indicated numbers are zeroes of their corresponding polynomials.
aleksley [76]

Answer:

  • No, incorrect

Step-by-step explanation:

<u>Given</u>

  • Q(s) = -4s^3 + 7s^2 - 24;
  • s = -4 and 1

<u>Verifying zeroes</u>

Q(-4) =

  • -4(-4)^3 + 7(-4)^2 - 24 =
  • 256 + 112 - 24 =
  • 344
  • Incorrect as 344 ≠ 0

Q(1) =

  • -4(1)^3 + 7(1)^2 - 24 =
  • -12 + 7 - 24 =
  • -29
  • Incorrect as -29 ≠ 0

3 0
3 years ago
Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport
vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, A, B and C are the positions of airport, shopping center and factory respectively.

Given that,  AB= 3.6 miles, BC= 4.8 miles and AC= 6.0 miles

In right triangle ABC

tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is BD.

That means, \triangle BCD is also a right triangle in which \angle BDC=90\°, Hypotenuse(BC)= 4.8 miles and BD is the opposite side in respect of \angle DCB or \angle ACB.

Now in right triangle BCD

Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88

So, the shortest possible length for the service road is 2.88 miles.

4 0
4 years ago
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