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Kobotan [32]
3 years ago
6

How to simplify this expression

Mathematics
1 answer:
dexar [7]3 years ago
5 0

Answer:

  \dfrac{x+2}{x+1}

Step-by-step explanation:

Factor the numerator and cancel common factors from numerator and denominator.

  \dfrac{x^2-4}{(x-2)(x+1)}=\dfrac{(x-2)(x+2)}{(x-2)(x+1)}=\dfrac{x+2}{x+1}

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Hi I need help with the question in the image. Step by step, thank you!
VashaNatasha [74]

The exponential function is f(x) = 18(12)^{-x-4} + 2

<h3>How to determine the equation?</h3>

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

y = 18(12)^{-x}

The horizontal asymptote is y = 2.

So, we have:

y = 18(12)^{-x} + 2

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

y = 18(12)^{-x-4} + 2

Express as a function

f(x) = 18(12)^{-x-4} + 2

Hence, the exponential function is f(x) = 18(12)^{-x-4} + 2

Read more about exponential functions at:

brainly.com/question/14355665

#SPJ1

6 0
2 years ago
Simplify using the vertical method. (3k + 4)(3k^2 – 5k – 3)
liubo4ka [24]

Answer:

9k^{3} -3k^{2}-29k-12

Step-by-step explanation:

Step 1: Expand by distributing sum groups.

3k(3k^{2} -5k-3)+4(3k^{2} -5k-3)

Step 2: Expand by distributing terms.

9k^{3} -15k^{2} -9k+4(3k^{2} -5k-3)

Step 3: Expand by distributing terms.

9k^{3}-15k^{2} -9k+12k^{2} -20k-12

Step 4: Collect like terms.

9k^{3}+(-15k^{2}  +12k^{2} )+(-9k-20k)-12

Step 5: Simplify.

9k^{3} -3k^{2}-29k-12

3 0
3 years ago
HELP ASAP PLZ!!!!!!!!!!!!!! THANKS IN ADVANCED :)
taurus [48]
I think its the 30x + 20

4 0
4 years ago
PLEASE HELP. Consider the following equation -(3/2)^x +12=2x-3 Approximate the solution to the equation above using three itera
Stels [109]

Answer:

71/16

Step-by-step explanation:

I got it right on edmentum. Good luck with the rest of you quiz or test

3 0
3 years ago
Read 2 more answers
What is the first quartile
azamat
<span>The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.</span>
8 0
3 years ago
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