if n is a positive integer, for what values of n is the function f(x) =x to the power of n
a) even
b) odd

Answers

Answer 1

Answer: $f(x)=x^n;\ n\in\mathbb{Z^+}\n\n function\ is\ even\ when\ f(-x)=f(x)\n\nfunction\ is\ odd\ when\ f(-x)=-f(x)\n\na)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\n\nb)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)$

Answer 2

Answer: a) n is even
b) n is odd

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Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?

Answers

Answer:

3/10 of the renaming full pizza has pepperoni

Step-by-step explanation:

Here, we want to calculate how much of the remaining pizza had pepperoni.

From the question, 1/2 has pepperoni and 1/2 is plain without pepperoni

she eats 1/5 of the pizza having pepperoni, this means that she is actually left with some parts is the half having pepperoni

The actual of the half remaining with pepperoni will be 1/2 - 1/5 = 3/10

This means that 3/10 of the remaining full pizza has pepperoni

What is the kinetic energy of a 1kg pie traveling at a speed of 4m/s

Answers

The kinetic energy is 8 J.

How do you workout how many sixths there are in 3 1/3???

Answers

$3(1)/(3)=(10)/(3)$
$(3(1)/(3))/((1)/(6))=3(1)/(3)*6=(10)/(3)*6=(60)/(3)=20$

$3(1)/(3)--x\n (1)/(6)--1\n x=20$

Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?Which math sentence represents the problem?

Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20

Answers

Marlene needs 15 paper cups to fill with water

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:

Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15

Marlene needs 15 paper cups to fill with water.

Find out more on equation at: brainly.com/question/2972832

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