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RSB [31]
2 years ago
13

Factor Trinomials:

Mathematics
1 answer:
notka56 [123]2 years ago
8 0

Answer:

1. 2(x+2)(x+5)

2. 8(x+4)^{2}

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

GCF = 2

2. Factor out the GCF and simplify.

2(x^{2} +7x+10)

3. Factor x^{2} +7x+10

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

(x+2)(x+5)

4. Done!

2(x+2)(x+5)

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

GCF=8

2. Factor out the GCF and simplify.

8(x^{2} +8x+16)

3. Use the perfect square formula. a^{2} +2ab+b^{2} =(a+b)^{2}

a = x\\b=4

(x+4)^{2}

4. Done!

8(x+4)^{2}

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2^2/5+ 3^1/10 <br> HELP ASAP
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Answer:

\sqrt[5]{4}  + \sqrt[10]{3}

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as 2^{\frac{2}{5} } + 3^{\frac{1}{10} }

// use the a^{\frac{m}{n} }  =\sqrt[n]{a^{m} } to transform the expression

Convert 2^{\frac{2}{5} } to \sqrt[5]{2^{2} } = \sqrt[5]{4}                        (here a = 2, n = 5, m = 2)

Then convert  3^{\frac{1}{10} } to \sqrt[10]{3^{1} } = \sqrt[10]{3}             (here a = 3, n = 10, m = 1)

Now we get  2^{\frac{2}{5} } + 3^{\frac{1}{10} } = \sqrt[5]{4}  + \sqrt[10]{3} . This is the simplified form, which is the answer.

6 0
3 years ago
A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and two vegetables. How ma
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Answer:

480 different sandwiches

Step-by-step explanation:

To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.

Bread: 3 types -> combination of 3 choose 1 -> 3

Protein: 4 types -> combination of 4 choose 1 -> 4

Cheese: 4 types -> combination of 4 choose 1 -> 4

Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10

So the number of different sandwiches is:

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Answer:

Yes you did good job

Step-by-step explanation:

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