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Vera_Pavlovna [14]
3 years ago
12

Which equation represents a proportional relationship?

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

The answer is y=32x

Step-by-step explanation:


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Joseph drives 125 miles in 2 and 1/2 hours. At the same rate,how far will he be able to travel in 6 hours
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300 miles You would do 125/2.5= 50 Then you a would do 50*6=300
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What is the value of K?<br> k =<br> 8<br> o<br> 4<br> k<br> N<br> 1<br> M
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m

Step-by-step explanation:

it should be

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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

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2 years ago
Adam is 4 years old his brother is half his age how old will the younger brother be when Adam is 50
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The younger brother will be 48 when Adam is 50
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If you earn $12 an hour and you work 40 hours a week,<br> how much do you earn a month?
qaws [65]

Answer:

$1,920

Step-by-step explanation:

you multiply 12 by 40. then, assuming a typical month is 4 weeks, you multiply that number by 4.

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