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Sati [7]
3 years ago
6

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

Mathematics
2 answers:
AveGali [126]3 years ago
6 0
A) n is even
b) n is odd
Otrada [13]3 years ago
5 0
f(x)=x^n;\ n\in\mathbb{Z^+}\\\\
function\ is\ even\ when\ f(-x)=f(x)\\\\function\ is\ odd\ when\ f(-x)=-f(x)\\\\a)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\\\\b)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)
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Urpi wants to buy towels online. There are two stores with the kind of towel she wants. The first store charges $20 per towel, a
Kamila [148]

Answer:

1 A the first store.

2. B The second store.

Step-by-step explanation:

1. The store with the dearest towel  is The First one ( $20 compared with $18).

2. The equation for the cost in the first store is P = 20n + 25.

The cost in the second  store is given by P = 18n + 35.

For 15 towels first store charges:

20 * 15 + 25 = $325.

Second store charges:

18 * 15 + 35 =  $305.

4 0
3 years ago
Read 2 more answers
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
Please help me!!! Brainliest
Luba_88 [7]
The lines are parallel.

In order to figure this out, let's start off by simplifying both equations as much as we can:
2y = 16 + 4x
Divide by 2
y = 2x + 8

Remember that the slope of that equation is '2' since 'm' in the equation y = mx + b represents slope.

Simplify the next equation:
6y - 30 = 12 x
6y = 12x + 30
Divide by 6:
y = 2x + 5

As you can tell, this line also has a slope of 2.
Parallel lines is defined as two lines that have the same slope. Knowing this, we can infer that these two lines are parallel.

-T.B.
7 0
3 years ago
An episode of a television show is 60 minutes long when it originally airs with commercials. On a DVD without commercials, the e
ryzh [129]
60-41 1/2=18 1/2 18 1/2 divided by 1/2=37/2*2 (cross cancel 2s)=37
8 0
3 years ago
Julia is casting a play with 4 main roles. Six students
aev [14]

Using the combination formula, it is found that Julia can take 15 combinations.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

C_{6,4} = \frac{6!}{4!2!} = 15

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

7 0
2 years ago
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