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3 years ago

Divide n by 5 then add 6

Mathematics

1 answer:

algol [13]3 years ago

3 0

Answer:

n+30/5

Step-by-step explanation:

Simplify n/5

n/5+6

Rewrite the whole as an equivalent fraction

2.1 Add an integer to a fraction

Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5

Equivalent fraction: the fraction thus generated looks different but has the same value as everything.

2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator

Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:

n+6×5/5=n+30/5

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What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.

kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

$A = \int_{x = a}^{x = b} |f(x) - g(x)| dx$

In this problem, we have that:

$f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3$ .

Hence, the area is:

$A = \int_{1}^3 |6x^2 - 12x| dx$

$A = |x^3 - 6x^2|_{x = 1}^{x = 3}$

Applying the Fundamental Theorem of Calculus:

$A = |3^3 - 54 - 1^3 + 6|$

$A = 22$

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

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3 years ago

PLEASE HELP ASAP 5 STARS, 20 POINTS

777dan777 [17]

Answer:

Step-by-step explanation:

Using the inequality rule, the third side has to be less than 12 + 16 = 28.
So, any answer of 28 or more than 28 does NOT satisfy the length.
It also has to be more than 4 to satisfy the inequality rule.

In short words, 4 < x < 28.

A, B and C all satisfy, because they are in the range of x

D) 32 is >28, so this is the wrong answer and CANNOT be the value of x.

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