#34
Answer:
c
Step-by-step explanation:
you know what output you get from the input.
For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.
Even though there are two inputs for one output, it is still a function.
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If there are two outputs for one input, it is not a function.
For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.
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3 points define a parabola, so the regression will be unique. You want to find a quadratic polynomial such that
where the system above is generated by setting , , and .
Since , we have
So the regression for the given data points is .
Direct variation means when one quantity is increased the other also increases or when one quantity is decreased the other also decreases.
Therefore as the variable x is decreased to 2 the variable y is also decreased to 26.
Indirect variation means when one quantity is increased the other decreases or when one quantity is decreased the other is increased.
The variations can be solved by unitary method or cross product method
The crossproduct method employs the numbers directly .
x: y
3:39
2: k
Here k is the unknown quantity.
Using the cross product rule
3 × k= 2× 39
k= 78/3= 26
The missing value of k is found to be 26.
y = 26
The equation for direct variation is y = kx ← k is the constant of variation
to find k use the condition y = 39 when x = 3
k = = = 13
equation is y = 13x
when x = 2 then y = 13 × 2 = 26