$x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6$

6 0

3 years ago

Is this number written in scientific notation? 33.4 × 10 − 2 Group of answer choices Yes it is in scientific notation No it is n

Rus_ich [418]

Answer:

<h3>No it is not in scientific notation</h3>

Step-by-step explanation:

The standard form of a scientific notation is expressed as:

A * 10^n where;

A is any number from between 1 and 10

Given the expression 33.4 × 10^ − 2

Comparing with the general formula, you will see that A = 33.2

Since the value of A does not fall between 1 and 10, hence the expression 33.4 × 10^-2 is not a scientific notation

8 0

2 years ago

Read 2 more answers

Find the limit. (If an answer does not exist, enter DNE.)<br> lim ( (1/x)-(1/lxl)) <br> x→0^+

jek_recluse [69]

Answer:

Step-by-step explanation:

The + on the zero means the limit as x approaches 0 from the right side

$\lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{|x|})\\ \lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{x})\\ \lim_{x \to 0^{+} } (0)\\0$

4 0

2 years ago

Which is the solution to the inequality?

I am Lyosha [343]

Answer: A

Step-by-step explanation:

Subtract 12 from both sides:

y + 15 - 15 < 3 - 15

Simplify:

y < -12

8 0

2 years ago