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3 years ago

Using the grouping method to factor the polynomial below completely. x^3+2x^2+4x+8

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer: $(x+2)(x^2+4)$

Step-by-step explanation:

$x^3+2x^2+4x+8$

$(x^3+2x^2)+(4x+8)\\x^2(x+2)+4(x+2)$

$(x+2)(x^2+4)$

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Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w

tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1: Finding the Number of hours is need to type 4160 words :

= $1\frac{20}{60}$ hours

$\\\\=1\frac{1}{3}$ hours

$\\\\=\frac{4}{3}$ hours

So it takes $\frac{4}{3}$ hours to type 4160 word

Step 2 : Finding the Number of hours is needed to type 1 word

= $\frac{4160}{\frac{4}{3}}$

= $4160 \times \frac{3}{4}$

= 3120 words per hour

Step 3 : Finding the Number of hours is needed to type 16000 words

= $\frac{\text{ total number of words}} {\text{ number of words written per hour}}$

Substituting the values

= $\frac{16000}{3120}$

= 5.1282 hours

Step 4 : Finding the cost for recreating the manual.

= number of hours x cost per hour

= 5.1282 x $17.65

= 90.51

5 0

3 years ago

Maria can read 20 pages of economics in an hour. She can also read 50 pages of sociology in a hour. She...? Maria can read 20 pa

denis-greek [22]

B.) Marua will spend 2 hours to read 100 pages of sociology which means she can only read 60 pages of economics.
Therefore, the opportunity cost of reading 100 pages of sociology is forfeiting 40 pages (2 hours) of economics.

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3 years ago

Which of these are like terms in the following expression:

kumpel [21]

Answer:

The second one (3x, 9x)

Step-by-step explanation:

Like terms are the terms that either have the same variable or have no variable.

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3 years ago

Which is a solution to the system of equations?

zhannawk [14.2K]

Choices A, C, D have a y-value that is 5 more than the x-value, so those points are on the line defined by the first equation.

Choice D satisfies the requirement

... y = 2x - 13

... 23 = 2·18 - 13

... 23 = 36 - 13

The appropriate choice is ...

... D (18, 23)

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3 years ago

A set of equations is given below: Equation E: m = 4n + 1 Equation F: m = 6n + 8 Which statement describes a step that can be us

Lelu [443]

8-6=2 n=0 your very welcome!

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3 years ago