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Maru [420]
3 years ago
15

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

  • 3- False,
  • 4- True

Step-by-step explanation:

<h3>Garden A</h3>

<u>Rectangle with sides</u>

  • Width ⇒ 2x - 3 feet
  • Length ⇒ 5(2x - 3) = 10x - 15

<u>Perimeter is</u>

  • 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>

<u>Triangle with sides</u>

  • 5x + 5, 4x + 2, 8x - 8

<u>Perimeter is</u>

  • 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>

<u>The difference in perimeters is the difference is fencing:</u>

  • 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

<h3>Statement 4</h3>

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

<u>So the perimeter is going to be:</u>

  • 24x - 36 + 20 =
  • 24x - 16

This statement is TRUE

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Answer:

The exponential function that passes through (2,36) is:

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Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

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1)

f(x)=4\times 3^x

now we put x=2.

f(2)=4\times 3^2\\\\f(2)=4\times 9\\\\f(2)=36

hence option 1 is correct.

2)

f(x)=4\times x^3

Now we put x=2.

f(2)=4\times 2^3\\\\f(2)=4\times 8\\\\f(2)=32

Hence, option 2 is incorrect.

3)

f(x)=6\times 3^x

Now we put x=2

f(2)=6\times 3^2\\\\f(2)=6\times 9\\\\f(x)=54

Hence, option 3 is incorrect.

4)

f(x)=6\times x^3

Now we put x=2.

f(2)=6\times 2^3\\\\f(2)=6\times 8\\\\f(2)=48

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

f(x)=4\times 3^x

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