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3 years ago

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

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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

Nataliya [291]

Anthony made three more dollars a month. 84/3 is 28 (Anthony) which is greater than 100/4 (25) (Jeff)

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3 years ago

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

aleksley [76]

Answer:

No, incorrect

Step-by-step explanation:

Given

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

Verifying zeroes

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:

The shortest possible length for the service road is 2.88 miles.

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