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Dahasolnce [82]
1 year ago
9

Factor completely: 5n^2 - 80

Mathematics
2 answers:
grandymaker [24]1 year ago
6 0

Answer:

Step-by-step explanation:

Factoring  5n2-9n-2

The first term is,  5n2  its coefficient is  5 .

The middle term is,  -9n  its coefficient is  -9 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   5 • -2 = -10

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10    +    1    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1

                    5n2 - 10n + 1n - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5n • (n-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (n-2)

Step-5 : Add up the four terms of step 4 :

                   (5n+1)  •  (n-2)

            Which is the desired factorization

Vesnalui [34]1 year ago
4 0
Answer:
5(n-4)(n+4)
Step-by-step explanation:
given that
5n²-80
first we take common factor.
5(n²-16)
now we use the sum product pattern
5(n²+4n-4n-16)
We take common factor from pairs
5(n(n+4)-4(n+4))
5(n+4)(n-4).

To know more about equations
Visit ; brainly.com/question/28493391

#SPJ9
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Liam works at a zoo. He was looking at some data showing the masses of their
serious [3.7K]

Median won't change, however Mean will fall by 180.

<h3>What do mean and median?</h3>

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

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Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was  3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5   = 3620  kg

Mean reduced by 3800 - 3620  = 180 kg

No change in Median weight

Mean reduced by 180 kg

To know more about mean and median click the link:

brainly.com/question/12528427

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4 0
1 year ago
WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).
Snowcat [4.5K]

Answer:

<h2>3(cos 336 + i sin 336)</h2>

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

6 0
2 years ago
QUICK!!<br><br> Which equation represents the relationship shown in the graph??
Dmitriy789 [7]

Answer:

y=1/2x

Step-by-step explanation:

Look at the graph, all you need is the first point.

Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x

3 0
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