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Sergeeva-Olga [200]
3 years ago
8

Quadratic Functions: Vertex Form

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

(5, -9).

Step-by-step explanation:

The vertex  if (h, k).

So for 6(x - 5)^2 - 9 the vertex is the point (5, -9).

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The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti
DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

P(t)=10000(0.2)^t

1) P(0) is the population initially.

P(1) is the population after a year.

\frac{P(1)}{P(0)} represents the population increase factor.

So let's evaluate that fraction:

\frac{P(1)}{P(0)}

\frac{10000(0.2)^1}{10000(0.2)^0}

\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

P(t)=10000(0.2)^{t}

We want t to represent months.

A full year is 12 months, in a full year we have that P(1)=10000(0.2)^1=10000(0.2)=2000

So we want a new P such that P(12)=2000 since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) P(12)=10000(0.87449)^{12}=2000 \text{approximately}

b) P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}

c) P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}

d) P(12)=10000(0.87449)^{12+12}=400 \text{approximately}

So a is the function we want.

Also another way to look at this:

P(t)=10000(.2)^t where t is in years.

P(t)=10000(.2^\frac{1}{12})^t where t is in months.

And .2^\frac{1}{12}=0.874485 \text{approximately}

8 0
4 years ago
Please answer question. I need some math to explain the answer, not just the answer. Ignore my work, that was wrong. Please help
Virty [35]
The correct answer to your question is number 2
3 0
3 years ago
Which is the graph of the equation y-1=2/3(x-3)
Alexxandr [17]

The attachment is the graph of the equation y - 1 = 2 / 3 (x - 3)

4 0
4 years ago
What is the answer to number 7b?
Semmy [17]
Increasing it by 10% will be 11.55. To find teen percent all you do is make it a decimal then multiplying it by 10.50
4 0
4 years ago
Somebody who knows how to do this?? plz answer all the questions correctly thanks!
Ksju [112]

Answer:

a) 5/21

b) 4/21

c) 4/21

d) 8/21

Step-by-step explanation:

total number of coins: 21

a) number if dollars: 5

therefore fraction is 5/21

b) number of quarters: 4

therefore fraction is 4/21

c) number of dimes: 4

therefore fraction is 4/21

d) number of nickels: 8

therefore fraction is 8/21

4 0
3 years ago
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