The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
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It’s not a function as there are more than one value of y fir each value if x
Answer: -(x+8)(x-8)
Step-by-step explanation:
-(x^2-64)
x^2-8^2x^2
x^2-8^2=(x+8)(x-8)
-(x+8)(x-8)
<span>The <u>correct answer</u> is:
A) Output = Constant/Input.
Explanation<span>:
Inverse proportion is also called inverse variation. In inverse variation, as one variable increases, the other decreases, but their product stays the same.
Algebraically their product would be represented by the equation
xy=k.
To isolate the output, y, we would divide both sides by x:
xy/x = k/x
y=k/x
In this equation, y is the output, x is the input, and k is called the constant of proportionality.
Based on this, the correct choice is output = constant/input.</span></span>
Answer: No, it is not sufficient to serve 65 vehicles as it can only serve 62 vehicles with this space
Step-by-step explanation:
Since we have given that
Dimensions of space where vehicles are stored is
145 feet by 130 feet
Number of vehicles to serve = 65
Area required for each vehicle = 300 ft²
So, we need to find that is it sufficient for to serve 65 vehicles.
So, first we find the number of vehicles can be served in this space
No, it is not sufficient to serve 65 vehicles as it can only serve 62 vehicles with this space.
