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Sholpan [36]
3 years ago
10

Find the product. (2a^2+b) (3a-3b) Enter the correct answer.

Mathematics
1 answer:
Leona [35]3 years ago
3 0
<h3>Answer:  6a^3-6a^2b+3ab-3b^2</h3>

=============================================

Work Shown:

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

c(3a-3b)  ..... let c = 2a^2+b

3ac-3bc  .... distribute

3a(c)-3b(c)

3a(2a^2+b)-3b(2a^2+b)  .... plug in c = 2a^2+b

3a(2a^2)+3a(b)-3b(2a^2)-3b(b)  ... distribute

6a^3+3ab-6a^2b-3b^2

6a^3-6a^2b+3ab-3b^2

You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.

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The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons
Juliette [100K]

Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

82=7x+c

122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

6 0
3 years ago
An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that
aivan3 [116]
The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)
3 0
3 years ago
Read 2 more answers
87.6564 to DP Please help me, thanks
kirill115 [55]
<span>1.       </span><span>DP , you mean decimal points?
87.6564 is already written in decimals points.
it is a combination of a whole number and a decimal points.
=> 87 is the whole number where 8 is tens and 7 is the ones.
=> 6564 is the decimal numbers where 6 next to the decimal point is tenths, 5 is hundredths, 6 is the thousandths and 4 is the ten thousandths.
When you round this number to its nearest tenths, it becomes 87.7</span>



5 0
3 years ago
. Determine whether the vectors (5, −2, 4), (2, −3, 5), and (4, 5−
Tems11 [23]

Answer: The vectors are linearly dependent.

The solution is in the attachment

5 0
3 years ago
Read 2 more answers
A store is selling lemons at 2 for $3. Each lemon yields 2 tablespoons of lemon juice. How much will it cost to buy enough lemon
igor_vitrenko [27]

Answer:

It will cost $6 to buy enough lemons.

Step-by-step explanation:

Consider the provided information.

To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.

1 cup = 16 tablespoons

1/2 cup = 8 tablespoons

That means we only need 8 tablespoons.

Each lemon yields 2 tablespoons of lemon juice.

Number of lemon required = 8 ÷ 2 = 4

That means we need only 4 lemon.

Store is selling lemons at 2 for $3 that means 4 lemons for $6.

Hence, it will cost $6 to buy enough lemons.

7 0
3 years ago
Read 2 more answers
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