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Marina CMI [18]
3 years ago
14

Two-thirds a numberx plus 4 is 8.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

n = 6

Step-by-step explanation:

To solve this you can use an equation such as:

\frac{2}{3} n+4=8\\\\

We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:

\frac{2}{3}n=4

So now we divide both sides by 2/3.

This now equals:

n=6

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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
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4 years ago
If Two-thirds = StartFraction x over 12 EndFraction, what is the value of x? 4 8 18 24
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Answer:

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Step-by-step explanation:

\frac{2}{3}  =  \frac{x}{12}  \\ x =  \frac{2 \times 12}{3}  \\ x = 2 \times 4 \\ x = 8

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Read 2 more answers
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