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3 years ago

Use substitution to solve the system equation. n=3m-11 2m+3n=0

Mathematics

1 answer:

prohojiy [21]3 years ago

6 0

Answer:

m = 3, n = -2.

Step-by-step explanation:

Substitute n = 3m - 11 in the second equation:

2m + 3(3m - 11) = 0

2m + 9m - 33 = 0

11m = 33

m = 3.

Substitute for m in n = 3m-11:

n = 3(3) - 11

n = -2.

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I tried to figure it out but i can't. i need to show the work and i don't know how to do it.

Andreas93 [3]

Integration Formula:

$\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C$

Integrate each term:

$\int\ {x^{2}} \, dx = \frac{x^{3}}{3}$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {5} \, dx = 5x$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {2} \, dx = 2x$

Altogether this becomes:

$\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}$

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

$\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}$

x = 1:

$[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}$ [/tex]

x = 2:

$\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}$

x = 1: $\frac{\frac{8}{3} - 2-10 }{ 2+4}$

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: $-\frac{3}{2} +In\frac{4}{3}$

7 0

3 years ago

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

the volume of cube A is 216 cubic inches. the length of each edge in cube B is 2 inches longer than the length of each edge in c

Aleonysh [2.5K]

If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440

This can be more easily displayed with smaller numbers

If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)

7 0

3 years ago

What is the length of the tabletop

zzz [600]

The table's length is 186 centimeters..........................

5 0

3 years ago

Given f(x)= 3x+2, what is the Inverse Function?

Grace [21]

Answer:

Step-by-step explanation:

For this case we must determine the inverse of the following function: