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Alex
3 years ago
11

Write an equation for the translation of y = |x|. 6 units down A.y = |x| + 6 B.y = |x| – 6 C. y – 6 = |x| D.y = |–6x|

Mathematics
2 answers:
MrRa [10]3 years ago
7 0
I believe it is B, because going down would be negative, and it is subtracting 6.
alexdok [17]3 years ago
7 0
Letter B is the correct answer I think
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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
2 years ago
Can someone help me! Please show pictures of the number line thank you!
qwelly [4]
The graph is an open circle at -1 with the line going towards the positive numbers.

7 0
2 years ago
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natali 33 [55]

the answer is 16.5cm

just add 15 +1.5 and you get 16.5

8 0
3 years ago
Read 2 more answers
Use the elimination method to solve the system of equations.<br><br>3x-5y= -16<br><br>2x+5y=31
Sholpan [36]
5x = 15
x = 3

3(3) - 5y = -16
9 - 5y = -16
5y = -16 - 9
5y = - 25
y = - 5

(3, -5)
8 0
3 years ago
the red line and the blue line trains just arrived at station when will they next arrive at the station at the same time
Whitepunk [10]
They will meet back up in 40 minutes because 8x5=40 and 10x4=40 which 40 is both a multple of 8 and 10 so you're welcome
4 0
3 years ago
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