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Lapatulllka [165]
2 years ago
8

Find the base of y = b^x that contains the point (3/2, 27)

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

  • D) b = 9

Step-by-step explanation:

<u>Given function:</u>

  • y = b^x

The graph of it should contain the point (3/2, 27)

<u>Substitute the values and verify answer choices:</u>

A) b= 3/2

  • 27 = (3/2)^(3/2), False as the right side is irrational

B) b= 27

  • 27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2

C) b= x/y

  • 27 = (x/y)^(3/2), False as is doesn't make sense

D) b= 9

  • 27 = 9^(3/2)
  • 27 = (3^2)^(3/2)
  • 27 = 3^(2*3/2)
  • 27 = 3^3
  • 27 = 27
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Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two
maria [59]

Answer:

4xy and 12x

Step-by-step explanation:

In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options

Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.

This makes 24 and 44y out of the way.

Now let’s look at 4xy and 12x. Let’s insert them into the blank space;

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and 36x^3-22x^2-12x = 2x(18x^2-11x-6)

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3 0
2 years ago
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nasty-shy [4]

Answer:

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Step-by-step explanation:

Let A(x,y) = (-2,4) and y = 3\cdot x + 5. Now we evaluate the given function at x = -2:

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y = 3\cdot (-2)+5

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