Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first nu
1 answer:
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The answer is the first option: I, II and III.
The explanation is shown below:
1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:
Where and
are the variables and
is the constant of proportionality.
As you can see, is directly proportional to
and
.
2. Keeping the information above, you have:
I) (
varies jointly with
,
and
.
II) (If
is the constant of proportionality,
varies jointly with
and
).
III) (
varies jointly with
and
.
Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = ← equation of variation
When y = 15 then
15 = ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1