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butalik [34]
3 years ago
10

HELP I WILL GIVE 100 POINTS!!! NO FAKE ANSWERS, PLEASE ANSWER ALL PARTS!!

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

option 1 is not linear because it does not change by the same amount every year. It does not have a constant slope.

option 2 increases by 100 per year, constant slope, straight line, linear

-----------------------

a = A y^n

1100 =A y

1210 = Ay^2

1331 = A y^3

---------------

1210/1100 = y = 1.1

check 1331/1210 = y = 1.1 sure enough

1100 = A (1.1)

A = 1000

so

a = 1000 * 1.1^n

and the linear option 2

a = 1000+100n

You can put the numbers in for part C

10% compounded is better than 10% simple :)

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Get y alone
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now you still want y by itself so you divide by -8
leaving you with
y=-13/8 + 7/8
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1.)The scatter plot shows the number of family members compared to the number of DVDs owned.
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2.11764705

Step-by-step explanation:

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Contact [7]
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y = -x - 6

x + 4 = -x - 6
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4 years ago
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
antoniya [11.8K]

Answer:

Equation: (x-2)^2=16(y-2)

Vertex: (2,2)

Directrix: y=-2

Focus: (2,6)

Step-by-step explanation:

<u>Standard Form of Vertical Parabola:</u>

  • Equation -> (x-h)^2=4p(y-k) where p\neq 0
  • Vertex -> (h,k)
  • Directrix -> y=k-p
  • Focus -> (h,k+p)

We know that our vertex is (h,k) -> (2,2), therefore, we can determine the value of p by selecting a point from the parabola as (x,y):

(x-h)^2=4p(y-k)

(x-2)^2=4p(y-2)

(6-2)^2=4p(3-2)

(4)^2=4p(1)

16=4p

4=p

<u>Therefore:</u>

  • Directrix -> y=k-p -> y=2-4 -> y=-2
  • Focus -> (h,k+p) -> (2,2+4) -> (2,6)

<u>Conclusion:</u>

  • Equation -> (x-2)^2=16(y-2)
  • Vertex -> (2,2)
  • Directrix -> y=-2
  • Focus -> (2,6)

Review the graph for a visual

5 0
3 years ago
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