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NeX [460]
3 years ago
14

Which of the following is a factor of 2xy + 8y − 8x − 32?

Mathematics
1 answer:
muminat3 years ago
4 0
You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32:  2(<span>xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
                                           We get 2(x +4) [y - 4]</span>
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After 2 females leave a party, there are twice as many males as females. Then 9 males leave and there are twice as many females
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Answer: 9 people are left at the party

Step-by-step explanation:

There was originally 8 females and 12 males

8-2 = 6

Twice the males as females

9 men leave which leaves 3 men and 6 women which is twice as many men

Hope this helps!

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Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
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