Answer:
1) 3
2) 30
Step-by-step explanation:
To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.
For the number 6, we can get 2 x <u>3</u> = 6.
For the number 15, we can get <u>3</u> x 5 = 15.
You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.
Example: 12 and 20
<u>2</u> x <u>2</u> x 3 = 12
<u>2</u> x <u>2</u> x 5 = 20
They both have 2 x 2 in common, so you would get 4 as the GCF.
Moving onto the LCM, I would find this by multiplying each number until i find something similar.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = <u>30</u>
15 x 1 = 15
15 x 2 = <u>30</u>
The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.
A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.
Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13
Step-by-step explanation:
Lets begin with a. (fog)(x)=f(g(x))
=f(2x+x+7), Note that 2x+x+7=3x+7
=f(3x+7) (where there is x if the function f(x) we
substitute x by 3x+7)
=4-(3x+7) =4-3x-7=-3x-3= -3(x+1).
b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function
g(x) we substitute with 4-x)
= 3(4-x)+7 = 19-3x
c. (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )
d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with
2 in 19-3x)
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4) Fraction: 56/100
Dollar: $0.56
Decimal: .56
6) Fraction:41/100
Decimal: 41%