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luda_lava [24]
3 years ago
6

The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x repre

sents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x − 11)2 − 56 8(x − 11)2 + 56 8(x2 − 22x + 128) 8(x2 − 22x) + 128
Mathematics
2 answers:
morpeh [17]3 years ago
8 0

Answer:

8(x^2 − 22x + 128)

Step-by-step explanation:

8(x^2 − 22x + 128) Take 8 as a common factor

OverLord2011 [107]3 years ago
4 0

Answer:

i think its 8(x − 9)2 + 216

Step-by-step explanation:

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Nutka1998 [239]
Hey there!

In my opinion, yes, because there are many reasons for this answer. But one reason is that when you get older, you'll be using 3.14 more than 22/7 because you don't really use fractions anymore, you use decimals.

^^That's my opinion, you might have something different^^

Hope this helps!
6 0
3 years ago
A specialty muffin company makes muffins for $0.12 per muffin. The starting cost of the company is $300. How many muffins must t
V125BC [204]

Answer:

the company should make 2307 muffins before the Average cost reaches $0.25/muffin

Step-by-step explanation:

the total cost of making the muffins is

Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q

where Q = number of muffins

the average cost is

Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q =  $300/Q + $0.12 / muffin

then for Average cost=  $0.25/muffin

$300/Q + $0.12 / muffin =  $0.25/muffin

Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)

then the company should make 2307 muffins before the Average cost reaches $0.25/muffin

6 0
3 years ago
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Answer:

Step-by-step explanation:

Given:

RUTS is a rectangle.

To prove:

∠USR ≅ ∠SUT

                  Statements                            Reasons

1. RUTS is a rectangle                   1. Given

2. RU = ST, UT = RS                      2. By the definition of a rectangle

3. ∠STU = ∠SRU = 90°                  3. Definition of a rectangle

4. ΔURS ≅ ΔSTU                           4. By the LL theorem of congruence

5. ∠USR ≅ ∠SUT                           5. CPCTC

4 0
3 years ago
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Answer:

D

Step-by-step explanation:

Using the Slope Equation

Pick two points on the line and determine their coordinates.

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