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3 years ago

I don't know how to simplify

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

(5-2/x)/4-3/x^2

after simplifying these
(5x-2)/x(4x^2-3)/x^2
x(5x-2)/(4x^2-3)
5x^2-2x/4x^2-3

now u can solve it

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The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the

yawa3891 [41]

Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

6·x² - 38·x + 39 = 0

x² - 19/3·x + 6.5 = 0

x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

∴ x = 1.288, or 5.045

At x = 1.288, we have;

V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

V ≈ 22.99 in.³

When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

Therefore;

V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5

The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

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3 years ago

Multiple. 7i (4-2i)

Eddi Din [679]

Answer:

14+28i

Step-by-step explanation:

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Hawa just accepted a job at a new company where she will make an annual salary of $44000. Hawa was told that for each year she s

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Step-by-step explanation:

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3 years ago

The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data. 3.5 1

Burka [1]

Answer:

The correct answer is 2.94 in.

Step-by-step explanation:

The monthly precipitation for August in 20 different U.S. cities are observed in inches.

The data is given by: 3.5, 1.6, 2.4, 3.7, 4.1, 3.9, 1.0, 3.6, 4.2, 3.4, 3.7, 2.2, 1.5, 4.2, 3.4, 2.7, 0.4, 3.7, 2.0 and 3.6.

We intend to find the mean of the given data.

Therefore mean of the precipitation is ∑data ÷ 20 = $\frac{58.8}{20}$ = 2.94 inches.

Thus the mean of the data is 2.94 inches.

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3 years ago

Number 15 please ...... Greatest common factor

FromTheMoon [43]

The answer is GCF=54

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3 years ago

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