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nordsb [41]
3 years ago
11

Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

15

Step-by-step explanation:

The formula for factoring a sum of cubes is:

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

We have a=3f and b=5g here.

So a*b in this case is 3f*5g=15fg.

The ? is 15.

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The question is in the photo :) i’m struggling
amm1812
A is 10% and B is 5%
4 0
3 years ago
Can you please help me :) you are supposed to use a^2+ b^2 =c^2 format I will mark brainliest
RUDIKE [14]

13 is x

144+25=169

169 is 13 squared

6 0
2 years ago
Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even
pochemuha

Answer : The correct Option is A.

Step-by-step Explanation :

To solve this we are going to use the monthly payment formula:

\text{Payment = }\frac{Rate\times Principal}{1-(1+Rate)^{-n}}}

where, Principal is the amount of the loan

            n  is the number of periods.

  • Option A. 13% interest for 36 months compounded monthly

Ricky is taking out a personal loan for $12,000 and term of the loan is 36 months ⇒ n = 36. To find the rate per period, we first need to convert the interest rate to decimal form ⇒ Rate = 0.13.

Now since the bank is charging him the interest rate for the 36 months, we just need to divide the interest rate (in decimal form) by the number of months (36) to find the rate per period

\implies\text{Rate per period = }\frac{0.13}{36}

So, putting all these values in the formula, We get monthly payment of loan A = $356.07

  • Option B : 12% interest for 60 months compounded monthly

interest rate in decimal form = 0.12

By replacing the values in formula the monthly payment of loan B is $212.44

  • Option C and Option D are obviously denied as the financial charge is not effected by the monthly payments so ricky will not be thinking about the financial charge.

Now, Monthly payments of loan B are significantly low than that of monthly payments of loan A.

So, we can conclude that the correct answer is  a. More payments with the 60 month loan will give him the lowest monthly payment.


6 0
3 years ago
Which of the following options have the same value as 2%, percent of 90
tankabanditka [31]

2 % of 90 is 1.8

<em><u>Solution:</u></em>

Given that we have to find 2 % of 90

Let us convert 2 % of 90 to decimal or fraction form

<em><u>2 % of 90</u></em>

Here, "of" represents multiplication or product

\rightarrow 2 \% \text{ of } 90 = 2 \% \times 90\\\\a \% \text{ can be written in fraction as } \frac{a}{100}\\\\\text{Therefore, the above expression becomes, }\\\\\rightarrow \frac{2}{100} \times 90\\\\\rightarrow 0.02 \times 90\\\\\rightarrow 1.8

Thus 2 % of 90 is 1.8

3 0
3 years ago
Please help me thank you!
iris [78.8K]
A midpoint divides a line segment into two congruent segments. So, if point U is the midpoint of RS, then that means that RU and SU are congruent.

If RU is 12, then SU is also 12.

So, the whole length of SR is 24.

1) Solution: 24

The midpoint and segment congruency statement in the first problem also applies to the second problem.

SV = TV

2x = 11

Divide both sides by 2 to get x by itself.

x = 5.5

2) Solution: 5.5
4 0
3 years ago
Read 2 more answers
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