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Temka [501]
3 years ago
15

Liner equations please help with answer!

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

n = - \frac{4}{7}

Step-by-step explanation:

Given

\frac{2}{3} (1 + n) = - \frac{1}{2} n

Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions

4(1 + n) = - 3n ← distribute left side

4 + 4n = - 3n ( add 3n to both sides )

4 + 7n = 0 ( subtract 4 from both sides )

7n = - 4 ( divide both sides by 7 )

n = - \frac{4}{7}

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6, 12, 18 and 24 are the first four multiples of 6.<br><br> What are the next 2 multiples?
kondor19780726 [428]

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

3 0
3 years ago
What is 3 over 6 with a negative exponent of 1
kolbaska11 [484]

(3/6)^-1  negative exponent flips the fraction

(6/3)

2

8 0
4 years ago
Read 2 more answers
If a right triangle is rotated around the longest leg what three-dimensional figure is formed
pantera1 [17]
I think the answer is a cone
4 0
3 years ago
Help please! the question is in the picture below for reference when answering! thank you so much!
stepan [7]

Answer:

x = -1

Step-by-step explanation:

AB + BC = AC = 28

the way from A to C goes through B.

so, the total way of A to C is the sum of the way from A to B and then from B to C.

=>

(5x + 10) + (2x + 25) = 28

7x + 35 = 28

7x = -7

x = -1

4 0
3 years ago
Read 2 more answers
Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

#SPJ4

7 0
2 years ago
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