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a_sh-v [17]
3 years ago
14

Simplify using the vertical method.

Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

(D) 9k^3-3k^2-29k-12

Step-by-step explanation:

The given expression is:

(3k+4)(3k^2-5k-3)

Upon simplifying the above expression, we get

=3k(3k^2-5k-3)+4(3k^2-5k-3)

=9k^3-15k^2-9k+12k^2-20k-12

Solving the like terms together, we have

=9k^3-3k^2-29k-12

which is the required simplified form of the given expression.

Hence, option D is correct.

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A car is worth $50,000 brand new and it will loose 10% of its value each year
notka56 [123]

We can set this geometric sequence up as so:

y = 50,000(0.90)^(x - 1)

The value of the car is represented by y, and the year is represented by x.


6 0
3 years ago
There are 15 people in the chorus. Each year, the number of people in the chorus increases by 12%. There are 30 people in the ba
Elden [556K]

<span>Part A
</span>Chorus:
Expontential growth = b*a^x 
b = 15
a = 1.12              (a= r+1), r = 12%

Which gives a function of f(x) = 15*1.12^x 


Band
Linear growth = ax+b
a = 2
b = 30

Which gives a function of g(x)=2x+30

<span>Part B:
</span>f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48

<span>Part C:
</span>This is probably problem solving, where you're allowed to use calculators and other softwares.

Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141

[email protected]

<span> Ambitious </span>

 

3 0
3 years ago
(3+5^2)(5-4^2) how to simplify?​
sveta [45]

Answer:

-308

Step-by-step explanation:

(3+5^2)(5-4^2)

28(5-4^2)

28(-11)\\

-308

Hope that helped!

3 0
3 years ago
What is 75% of 118? Explain how you solved the problem using words and/or numbers.
Vilka [71]

Answer:

88.5

Step-by-step explanation:

⇒ 75% × 118 = y

⇒ \frac{75}{100}  × 118 = y

⇒ 0.75 × 118 = y

⇒ 88.5 = y

Hope this helps! Good Luck!

4 0
3 years ago
What is 1.12 divided by 8.2
zubka84 [21]
The answer would be 0.13658537...
but when you estimate it the answer would be 0.14
7 0
4 years ago
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