Answer:
8,146 x 121
Step-by-step explanation:
This is a problem in which you need to measure your understading of "orders of magnitude."
If the estimated answer is 
that means that we are looking at a multiplication in the "order of" 
You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have 
that would be "of the order of" 
times 
. So the whole multiplication would "of the order of" 
or near 
The correct answer, 8,146 x 121, is because it's "of the order of" times 
and the gives us the we need.
Answer:
y=2x-3
Step-by-step explanation:
1. find the slope
6x-3y=21
-3y=-6x+21 divide both sides by -3
y=2x-7
slope is 2
2.y-5=2(x-4)
y-5=2x-8
y=2x-8+5
y=2x-3
PARALLEL lines have the same slope
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
Therefore the number of brown shells in each necklace was = 2 brown shells.
Step-by-step explanation:
If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.
So we can say that to find the number of necklaces we have to find the GCD (greatest common denominator) of the different colored shells.
Therefore the GCD of 10, 15 and 20 is 5.
Therefore Julia made 5 necklaces.
Therefore the number of brown shells in each necklace was = 
= 2 shells.
Answer:
<h3>RO = 107.36</h3>
<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:
ΔLMN = ΔOPR ----- (<em>given</em>)
<h3>so,-----------------------</h3>
NM / NL = RP / RO
19 / 34 = 60 / RO
RO = 60 × 34 ÷ 19
RO = 107.36
