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3 years ago

What is the range of y = -xsquared2 - 2x + 3?

Mathematics

2 answers:

Flura [38]3 years ago

8 0

Answer:

( - infinity, 4) thats the range hope it helps.

balandron [24]3 years ago

5 0

Answer:

have you just tried to solve 2-2x+3 maybe you would get your anwser

Step-by-step explanation:

You might be interested in

Express each number in scientific notation.

Alchen [17]

Answer:

1.3 x 10^6

8.825 x 10^8

1.25 x 10^4

5.167 x 10^7

Step-by-step explanation:

7 0

3 years ago

If 2^n + 1 is an odd prime for some integer n, prove that n is a power of 2. (H

vovikov84 [41]

Step-by-step explanation:

We will prove by contradiction. Assume that $2^n + 1$ is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that $p\mid n$ . Then, for some integer $k\geq 1$ ,

$n=p\times k.$

Therefore

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p.$

Here we will use the formula for the sum of odd powers, which states that, for $a,b\in \mathbb{R}$ and an odd positive number $n$ ,

$a^n+b^n=(a+b)(a^{n-1}-a^{n-2}b+a^{n-3}b^2-...+b^{n-1})$

Applying this formula in 1) we obtain that

$2^n + 1=2^{p\times k} + 1=(2^{k})^p + 1^p=(2^k+1)(2^{k(p-1)}-2^{k(p-2)}+...-2^{k}+1)$ .

Then, as $2^k+1>1$ we have that $2^n+1$ is not a prime number, which is a contradiction.

In conclusion, if $2^n+1$ is an odd prime, then n must be a power of 2.

4 0

3 years ago

Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10 from e

snow_tiger [21]

Answer:

$1200.

Step-by-step explanation:

We have been given that Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.

Let us find number of subscriber that will pay this month Kiersten for her online business.

Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription, therefore, number of subscriber this month will be $100+30-10=130-10=120$ subscribers.