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scoundrel [369]
3 years ago
11

3O POINTS A photograph measures 10 inches by 12 inches. A frame with constant width is placed around the photograph so that the

total area of the framed photo is 288 square inches. What is the width of the frame?
Mathematics
1 answer:
KengaRu [80]3 years ago
5 0
What I did was trial and error. (There is a mathematical way to do this but...)
so you have 10*12 and that equals 120. That is the area of the photo. With the frame, the area is 288.
Increase each number as so:
11*13=143.......continue trial and error
16*18=288
answer: 16
Hope that helps!

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Semenov [28]

The correct option is Option D: Yes, the graph passes the vertical line test.

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3 0
2 years ago
The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19
lisabon 2012 [21]

Answer:

39,223\ rabbits

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

y=a(1+r)^x

where

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x is the number of years since 1991

a is the initial value

r is the rate of change

we have

a=9,100

substitute

y=9,100(1+r)^x

For the year 1998

the number of years is equal to

x=1998-1991=7 years

so

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

18,000=9,100(1+r)^7

(18,000/9,100)=(1+r)^7

elevated both sides to 1/7

(1+r)=1.1023

r=0.1023

therefore

y=9,100(1+0.1023)^x

y=9,100(1.1023)^x

Predict the population of rabbits in the year 2006

Find the value of x

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substitute the value of x in the equation

y=9,100(1.1023)^{15}

y=39,223\ rabbits

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2 years ago
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