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3 years ago

Which of the following are factors of 6x^2 + 30x - 36? Select all that apply

Mathematics

2 answers:

Maru [420]3 years ago

8 0

Answer:\\

the correct answers are

x-1

x+6

Svet_ta [14]3 years ago

6 0

Answer with Step-by-step explanation:

we have to calculate the factors of the polynomial:

$6x^2 + 30x - 36$

This could also be written as:

$6(x^2+5x-6)\\\\=6(x^2+6x-x-6)\\\\=6(x(x+6)-1(x+6))\\\\=2\times 3\times (x-1)(x+6)$

Hence, the factors of the polynomial $6x^2 + 30x - 36$ are:

x-1,x+6,2,3

Hence, the correct options are:

1. x-1

3. 2

4. 3

5. x+6

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Paladinen [302]

Answer:

<em>Thus, f and g are inverse functions</em>

Step-by-step explanation:

<u>Inverse Functions</u>

If two functions f(x) and g(x) are inverses, then it follows that:

$f\circ g(x)=x$

Or:

$g\circ f(x)=x$

We are given

$\displaystyle f(x)=\frac{1}{4}x-6$

$g(x)=4x+24$

Let's test if they are inverse functions:

$f\circ g(x)=\frac{1}{4}(4x+24)-6$

Simplifying:

$f\circ g(x)=x+6-6=x$

Now find:

$\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24$

Operating:

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Thus, f and g are inverse functions

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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3 years ago

A bowl contains and strawberries and blueberries. There are a total of 48 berries in the bowl. The ratio of blueberries to straw

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Answer:

There are 36 blueberries and 12 Strawberries! I hope this helps you out. :)

Step-by-step explanation:

Hi, so I have a really easy way for you to do this and understand! :)

Basically, you can just add the two numbers in the ratio together and divide that from the bigger total. For example, 9+3=12 and 48/12 is 4. Then you can just multiply each beginning ratio by four and you have your answer: 9*4=36 and 3*4 equals 12. An what does 12+36 equal? 48.

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Zinaida [17]

Answer:

Option (B)

Step-by-step explanation:

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