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NeTakaya
3 years ago
8

Factor. 3n^4+21n^3+27n^2 Enter your answer in the box.

Mathematics
1 answer:
asambeis [7]3 years ago
5 0
Factor the following:
3 n^4 + 21 n^3 + 27 n^2

Factor 3 n^2 out of 3 n^4 + 21 n^3 + 27 n^2:

Answer: 3 n^2 (n^2 + 7 n + 9)
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a student measured the temperature in degrees celsius for several winter days and recorded the data in a list find the average o
NemiM [27]

Answer:

Average = -1°C

Step-by-step explanation:

The data recorded is;

6, -7, -5, 5, -8, 3 (in °C)

Average = \frac{6 - 7 - 5 + 5 - 8 + 3}{6} = -1°C

8 0
3 years ago
Read 2 more answers
A collection of five coins has a value of $1 and consists of dimes and
DENIUS [597]

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

4 0
3 years ago
WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST
quester [9]

Answer:

26% tip

Step-by-step explanation:

213.90 / 1.15 = 186

213.90 + 20 = 233.9

233.9 / 186 = 1.26

26% tip

4 0
3 years ago
PLEASE HELP Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?
natali 33 [55]

Answer:

c is the correct option

Step-by-step explanation:

from,

f'(x) = h >0 <u>f</u><u>(</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>-</u><u> </u><u>f</u><u>(</u><u>x</u><u>)</u><u> </u>

h

f(x) = - √2x

f(x + h) = - √(2x + h)

f'(x) = h>0 <u>-</u><u>√(2x + h) - √2x</u>

h

rationalize the denominator

= h>0 <u>-</u><u>√</u><u>(</u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>+</u><u> </u><u>√</u><u>2</u><u>x</u><u> </u><u> </u><u>(</u><u>-</u><u>√</u><u>(</u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>h</u><u>)</u><u> </u><u>-</u><u> </u><u>√</u><u>2</u><u>x</u><u>)</u>

h (-√(2x + h) - √2x)

= h>0 <u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>h</u><u> </u><u>-</u><u> </u><u>4</u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

h(-√(2x + h) -√2x)

= h>0 <u>2</u><u>h</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

h(-√(2x+h) - √2x)

= h>0 <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>2</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

-√(2x+h) - √2x

5 0
3 years ago
Read 2 more answers
What is the length of the segment with endpoints (-3, 4) and (5, 4)? A) 2 B) 8 C) 16 D) 64 E) 2 17
Cerrena [4.2K]

Answer:

The correct answer is B) 8

Step-by-step explanation:

\sqrt{(4-4)^{2}+(5+3)^{2}   } \\\\\\\sqrt{8^{2} } \\\\8

8 0
3 years ago
Read 2 more answers
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