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3 years ago

Use the grouping method to factor the polynomial completely.

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Hmm
we can factor a 3x^4 from everybody

3x^4(3x^5-8x-4)

B is answer

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During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 met

Xelga [282]

Answer:

The skaters are 2.5 feet apart

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

To calculate the distance apart, this is same as the length PJ

To calculate this length, we can use the cosine rule as follows;

O^2 = P^2 + J^2 -2(P)(J)Cos 15

O^2 = 7^2 + 5^2 -2(7)(5)Cos 15

O^2 = 49 + 25 - 70Cos15

O^2 = 74 - 67.61

O^2 = 6.39

O = √6.39

O = 2.53

O = 2.5 feet to the nearest tenth of a foot

3 0

3 years ago

3.14 times 16 divided by 3

AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

$50.24 \div 3$

2) Simplify 50.24 ÷ 3 to 16.746667.

$16.746667$

Therefor. the answer is 16.746667.

5 0

3 years ago

Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

8 0

3 years ago

11. Three lines that intersect at one point

Evgesh-ka [11]

Answer:skew lines

Step-by-step explanation:

7 0

3 years ago

Show 53 in 10's and 1's?

Lana71 [14]

53 is 5 tens and 3 ones

8 0

3 years ago