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Temka [501]
3 years ago
8

Factor the polynomial: ab −3b+b^2−3a

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

ab(b-3)


ab-3b+b^2-3a

(-3a+ab)(-3b+b^2)

a(b-3) b(b-3)

ab(b-3)

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Suppose g(x) = f(x – 2) + 3. Which statement best compares the graph of g(x) with the graph of f(x)?
weqwewe [10]

Answer:

we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

Option A is correct

Step-by-step explanation:

To shift a function right

  • Subtract inside the function's argument. For example, f(x - b) is basically f(x)  shifted b units to the right.  
  • Subtracting inside the function's argument moves you to the right.

So, g(x) = f(x – 2) means f(x) is shifted two units to the right.

and to move a function up

  • Add outside the function. For example,  f(x) + b  is basically f(x) moved up b units.

So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units up.

Therefore, overall, after two transformations, we conclude

that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.

So, option A is correct.

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3 years ago
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dangina [55]

Answer:

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4 0
3 years ago
True or False: When you interpret a Stem-and-Leaf plot, you make a list of numbers.
Pachacha [2.7K]

Answer:

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Step-by-step explanation:

4 0
4 years ago
How many Hostel rooms have 11 or fewer guest
I am Lyosha [343]
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7 0
3 years ago
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xenn [34]

Answer:

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Step-by-step explanation:

Given

Ratio_1 = 3:8

Ratio_2 = 1:2

Required

Compare both ratios

Ratio_1 = 3:8

Ratio_2 = 1:2

Multiply ratio 2 by 4

Ratio_1 = 3:8

Ratio_2 = 1 * 4:2 * 4

This gives:

Ratio_1 = 3:8

Ratio_2 = 4:8

Write both ratios as fractions

Ratio_1 = \frac{3}{8}

Ratio_2 = \frac{4}{8}

Get decimal equivalent:

Ratio_1 = 0.375

Ratio_2 = 0.5

Comparing both, we have that

Ratio_2 > Ratio_1

0.5 > 0.375

Conclusively;

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3 years ago
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