Solve the system using elimination.3x – 3y = 242x + 2y = 4The solution is |
1 answer:
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The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x .
A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0 .
in the question
Part(a)
the equation is y (2)x - 3
on comparing it with y = mx + c , we get c = -3 , which is not 0 .
So , it is not a proportional relationship .
Part(b)
the equation is y (-2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(c)
the equation is y (3/5)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Part(d)
the equation is y - (1/2)x
on comparing it with y = mx + c , we get c = 0 ,
So , it is a proportional relationship .
Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x , y = - (1/2)x , that are options (b) , (c) and (d) .
The given question is incomplete , the complete question is
Which of the following linear relationships is NOT also a proportional relationship?
(a) y = (2)x - 3
(b) y = (-2)x
(c) y = (3/5)x
(d) y = - (1/2)x
Learn more about Proportionality here
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Answer:
1/9, 3, 27
(A / the first option listed)
Step-by-step explanation:
Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression
first,
x = -2
3ˣ → 3⁻²
when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:
3² = 3 · 3 = 9
so, 3⁻² = (1/9)
next,
x = 1
3ˣ → 3¹
now, here we have something raised to the power of 1, which is always itself, so 3¹ = 3
(think of ^to the power of as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)
and finally,
x = 3
3ˣ → 3³
here, we can multiply 3 by itself 3 times:
3 · 3 · 3 = 27
so, 3³ = 27
[<em>important note</em><em>: when we raise something to a power, we are </em><u><em>not</em></u><em> multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}</em>
So, our answers in order are:
1/9, 3, 27 (the first option listed)
hope this helps! let me know if I should clarify anything :)