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Nataly [62]
3 years ago
13

Factor x3 + 2x2 + x completely

Mathematics
2 answers:
NARA [144]3 years ago
3 0

Answer:

x(x+1)²

Step-by-step explanation:

x is a common factor to all terms so the first step is to factor it out:

... x(x² +2x +1)

The quadratic factor is recognizable as the square (x+1)², so the factoring is ...

... x(x +1)²

Pachacha [2.7K]3 years ago
3 0

Answer:

Step-by-step explanation:x(x+1)2

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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt
sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)

Perimeter of box, P=2(x+y)

P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]

Differentiate w.r to x

\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})

For critical point, \dfrac{dP}{dx}=0

\therefore 2(1-\dfrac{36}{x^2})=0

\Rightarrow x=\pm6

x can't be negative.

\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})

P_{min}=24 units

Hence, Length = 6 units and width = 6 units

5 0
3 years ago
Brandon is building a desk that is 42 inches long. A piece of wood that he bought is 4 feet long. How much does Brandon have to
Ilya [14]

Answer:

6 inches

Step-by-step explanation:

there are 12 inches in a foot

4 ft * 12 = 48 inches

48 - 42 = 6

Cut off 6 inches

5 0
3 years ago
Read 2 more answers
A dime is worth 10 pennis.Marley brought 290 pennis to the bank . How many dimes did marley get?
Julli [10]
ok so 10 pennis is 1 dime which is 10 cents ok lets go to the next number 20 pennis will be 2 dimes because its the same cents then 30 pennis will be 3 and 40 will be 4 so just divide 10 into the number of pennis or in this case you have a easy out you can just use the numbers infront of the zero since you are talking about dimes.
It would even be the same if you had 2,300 pennis you would have 230 dimes
8 0
3 years ago
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a disc
Whitepunk [10]

Answer:

$780

Step-by-step explanation:

P = Original Price

P (100% - 10%) = $702

P (90%) = $702

(P (.9)) / .9 = $702 / .9

P = $780

Check answer:

$780 (90%) = $702

6 0
2 years ago
What percent of 150 is 162
Novay_Z [31]
To find a percentage of a number, you divide by that number.
So to find what percent of 150 162 is, you divide 162 by 150
162 ÷ 150 = 1.08
Now, to find the percentage, we take the decimal and move the point two places to the right.
1.08 = 108%
162 is 108% of 150.
5 0
3 years ago
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