Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
Answer:
-733.909
Step-by-step explanation:
To find the answer to this question, we need to know the constant of variation.
The procedure to get the values is
Y ∞ X × Z
Y = k*x*z
When y = 117, x = -3 and z = -11
Put this values in that equation above and we have the value of X
117 = -11 × -3 × k
117 = 33k
K = 117/33
K = 3.545
Now that we have the constant of variation needed to get the value of either y,x or z whenever we have 2 other figures
So when x = -9 and z = 23
Y = -9 × 23 × 3.545
Y = -733.909
