Answer:
Step-by-step explanation:
<u>The absolute value function is:</u>
<u>Step 1. Function is vertically stretched by a factor of 3:</u>
<u>Step 2. Shifted two units left:</u>
<u>Step 3. Shifted 5 units down:</u>
<em>See attached</em>
<em>Steps are </em><em>Black → Blue → Green → Red</em>
What factors to they have in common?
First, they're all even, so 2
if we divide all of them by 2, we get:
13,24,31
now, 13,31 are primes: so that means that those numbers don't have any more common factors!
So the greatest Common Factor of those 3 numbers is 2.
Answer:
3628800
Step-by-step explanation:
10! = 10 × 9! = 10 × 362880
= 3628800
_____
A number is multiplied by 10 by shifting the decimal point one place to the right. Here, that means appending a place-holder zero to the number.
1) 8 + 4 = -5 + 7
12 = 2
FALSE
2) y = -11x + 4
(0, -7): -7 = -11(0) + 4 ⇒ -7 = 0 + 4 ⇒ -7 = 4 False
(-1, -7): -7 = -11(-1) + 4 ⇒ -7 = 11 + 4 ⇒ -7 = 15 False
(1, -7): -7 = -11(1) + 4 ⇒ -7 = -11 + 4 ⇒ -7 = -7 True
(2, 26): 26 = -11(2) + 4 ⇒ 26 = -22 + 4 ⇒ 26 = -18 False
Answer: C
3) Input Output
0 0
<u> 1 </u> 3
2 <u> 6 </u>
3 9
<u> 4 </u> <u> 12 </u>
5 15
6 <u> 18 </u>
Rule: input is being added by 1, output is 3 times x
4) c = 65h
5) 2x = -6

x = -3
6) 8j - 5 + j = 67
9j - 5 = 67 <em>added like terms (8j + j)</em>
<u> +5</u> <u>+5 </u>
9j = 72

j = 8
7) y = mx + b
<u> -b</u> <u> -b </u>
y - b = mx

