2 years ago

Is x + 2 is a factor of P(x) = 2x3 + 5x2 + 5x + 6? If so,

Mathematics

1 answer:

Klio2033 [76]2 years ago

4 0

Answer:

yes

P(x) = (x + 2)(2x² + x + 3)

Step-by-step explanation:

see attachment for step by step

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a rectangle has a length of 8 feet and a width of 6 feet. if its length and width increase bye 50%, what is the new area of the

Alik [6]

Answer:

108ft squared

Step-by-step explanation:

Length increased by 50%: 12ft

Width increased by 50%: 9ft

12x9=108ft squared

I think this is right please confirm before using this answer. Please favorite if right.

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2 years ago

Find the radius r of the circle. Round your answer to the nearest tenth.

denis-greek [22]

Answer:

76.2 yd

Step-by-step explanation:

180 ÷30 = 6

12.7 × 6 = 76.2

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2 years ago

4x minus 9(3 minus x)

ANEK [815]

Answer:

13x-27

Step-by-step explanation:

Simplify the expression.

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3 years ago

Sodium-24 has a half-life of 15 hours. how many grams of a 900 g sample will remain after 90 hours

raketka [301]

Answer: Option 'B' is correct.

Step-by-step explanation:

Let the initial concentration be

$N_0=900\ g$

Let concentration after t= 90 hours be N

Since we have given that Sodium-24 has a half life of 15 hours i.e.

$t_{\frac{1}{2}}=15$

So, According to question,

$\text{ Number of half lives }=\frac{t}{t_{\frac{1}{2}}}\\\\\text{ Number of half lives }=\frac{90}{15}\\\\\text{ Number of half lives }=6$

As we know that

$\frac{N}{N_0}=(\frac{1}{2})^n\\\\N=N_0\times (\frac{1}{2})^n\\\\N=900\times (\frac{1}{2})^6\\\\N=\frac{900}{64}\\\\N=14.0625\ g$

Hence, Option 'B' is correct.

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3 years ago

Factorise:x^2-y^2-x-y

ivanzaharov [21]

9514 1404 393

Answer:

(x -y -1)(x +y)

Step-by-step explanation:

The expression can be factored by grouping.

x^2 -y^2 -x -y = (x^2 -y^2) -(x +y)

= (x -y)(x +y) -1(x +y)

= (x -y -1)(x +y)

_____

It is useful to know that a difference of squares is factored as ...

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

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3 years ago