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polet [3.4K]
3 years ago
15

A. (x+2) (x2 +x+2) + 2(x3 + x2)

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

3x³ + 5x² + 4x + 4

Step-by-step explanation:

Given

(x + 2)(x² + x + 2) + 2(x³ + x²)

To expand the product, each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis

= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms

= 3x³ + 5x² + 4x + 4

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Using sigma notation write the geographic series: 6+12+24+48+96
Alika [10]

Answer:

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

4 0
3 years ago
Help please<br><br> 3 + 3 + 2 x 2 x 1 = ?
kramer

3 + 3 + 2 x 2 x 1 = ?

3 + 3 = 6

2 x 2 = 4

6 + 4 = 10

10 x 1 = 10

Your answer is <u>10</u>

hope this helps!

3 0
4 years ago
1. If $18,000 is invested at 6% compounded monthly, what is the amount after 7 years?
stira [4]
P = 18,000
R=6%
T=7 years

A = P ( 1 + 1 divided by r) raised to n
Substitute the numbers an u will fin the answer
8 0
3 years ago
A farmer sells 8.8 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
Olenka [21]

Answer: She sold 6.6kg of pears in the market.

Step-by-step explanation:

 Weight of apples and pears at the farmer's market.=8.8 kilograms

Weight of apples = 1/4

which is = 1/4 x 8.8kg = 2.2 kg

Weight of Pears =Weight of apples and pears - Weight of apples

= 8.8kg- 2.2kg

= 6.6kg

5 0
3 years ago
Find the value of Y helpppp
DIA [1.3K]

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

4y + 8 = 24 \\ (corresponding \: sides \: of \:  \\ congruent  \:  \triangle s) \\ 4y = 24 - 8 \\  \\ 4y = 16 \\  \\ y =  \frac{16}{4}  \\  \\ y = 4

3 0
3 years ago
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