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3 years ago

Factor the polynomial. X2+3x-54

Mathematics

2 answers:

Llana [10]3 years ago

7 0

Answer: (x + 9)(x - 6)

<u>Step-by-step explanation:</u>

x² + 3x - 54 Find 2 numbers whose product is -54 and sum is +3

∧

-1 + 54

-2 + 27

-3 + 18

-6 + 9 = +3 This works!

Place those digits in the parentheses and it is now factored.

(x - 6)(x + 9)

Harrizon [31]3 years ago

3 0

Answer:

<h2> $\mathrm{(x + 9)(x - 6)}$ </h2>

Step-by-step explanation:

${x}^{2} + 3x - 54$

Write 3x as a difference

${x}^{2} + 9x - 6x - 54$

Factor out x from the expression

$x(x + 9) - 6x - 54$

Factor out -6 from the expression

$x(x + 9) - 6(x + 9)$

Factor out x+9 from the expression

$(x + 9)(x - 6)$

Hope I helped!

Best regards!

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PtichkaEL [24]

Answer:

The population density of India in 2016 was of 1042.8 habitants per miles squared.

Step-by-step explanation:

Population density:

Number of habitants divided by land area.

In 2010 the population of India was 1,231,000,000. By 2016, the population had increased by 7.5%.

This means that India's population in 2016 was given by:

1,231,000,000*1.075 = 1,323,325,000

The land area of India is 1, 269,000 miles squared:

1,323,325,000/1,269,000 = 1042.8 habitants per miles squared.

The population density of India in 2016 was of 1042.8 habitants per miles squared.

5 0

3 years ago

What is -2 times 3 divide by 2 times 2 plus 2 minus 2 times 2

Maurinko [17]

-2 * 3 = -6.
-6/2 = -3.
-3 * 2 = -6
-6 + 2 = -4
-4 - 2= -6
-6 * 2 = -12.

I think I did that right lol

7 0

3 years ago

Read 2 more answers

Is 4/7 bigger or smaller than 3/5

blondinia [14]

$\frac{4}{7}=\frac{4 \times 5}{7 \times 5}=\frac{20}{35} \\
\frac{3}{5}=\frac{3 \times 7}{5 \times 7}=\frac{21}{35} \\ \\
\frac{20}{35} < \frac{21}{35} \\ 
\Downarrow \\
\frac{4}{7} < \frac{3}{5}$

4/7 is smaller than 3/5.

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3 years ago

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faltersainse [42]

Answer:

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Step-by-step explanation:

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2 years ago

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How can I solve this problem?

HACTEHA [7]

Answer:

25*pi or

78.5 square units.

Step-by-step explanation:

If there was no shaded area, the area of the circle would be pi * r^2

r = 10

Area = pi * 10^2

Area = 100 * pi

Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.

Area_shade = 1/4 (100*pi)

Area_shade = 25 * pi

That's one answer.

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3 years ago