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tatiyna
2 years ago
8

Please help as soon as possible 50 points

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3)        ---simplify this as--> 3x²/x(x+3)

x-2/x  --> (x-2)(x+3)/x(x+3)  ---simplify this as --> x²+x - 6/x(x+3)

3x                    3x(x)                                     x-2                   (x-2)(x+3)

-----      --->        -----                 and             --------   --->           ---------

x+3                   x(x+3)                                    x                        x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

Nadusha1986 [10]2 years ago
3 0

ANSWER:

On solving expression, we get

\longrightarrow\sf\frac{3x}{x + 3}  +  \frac{x - 2}{x}

\longrightarrow\sf\frac{{3x}^{2} + {x}^{2}  - 2x + 3x - 6  }{(x + 3)x}

\longrightarrow\sf\frac{{4x}^{2}  + x - 6}{ x(x + 3)}

So, <u>Correct choice</u> - [D]

\large\boxed{\sf\frac{{4x}^{2}  + x - 6}{ x(x + 3)}.}

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1 year ago
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FromTheMoon [43]

Answer:

The volume of a cylinder:

V \approx 150.796 ft^3

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

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V = \pi 4^2 3

-Then, solve the formula:

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7 0
3 years ago
A ladder is leaning against a wall. The top of the ladder is 9 feet (ft) above the ground. If the bottom of the ladder is moved
Dmitriy789 [7]
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3 years ago
A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun
Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767

Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815

95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.

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3 years ago
A discount store bought two dozen cameras for $14 each.
____ [38]

Answer:

72.24

Step-by-step explanation:

Price for each camera = 14

Number of camera = 2dozen = 12 x 2 = 24

Total cp = 24 x 14 = 336

~~~~~~~~~~~~~~

Price for each camera=  10.99

Number of cams = 24

Total sp = 10.99 x 24 = 263.76

Loss = 336 - 263.76  = 72.24

6 0
2 years ago
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