Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) =
1 answer:
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
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Answer:
Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.
Step-by-step explanation:
Given, the volume of the box, V = 180 feet cube
Let the height of the box, h = x feet
Therefore, length is, l = ( 9+x ) feet
And width is, b = ( x-4) feet
so volume of the box is
V = l x b x h
Factorizing we get
(x+5)(x-6)(x+6)=0
Therefore,
x = -5, -6, 6
Now since the height of the box cannot be negative, so taking the positive value of x, we get
Height of the box, h = x = 6 feet
Length , l = ( 9+x ) = 9+6 = 15 feet
Width , b = ( x-4) = 6-4 = 2 feet
What you wanna do here is use a calculator, as "e" in mathematics refers to the "e" on a calculator. The tricky part about this question is that the answer for the equation is the given percentage, NOT the value for "x". From there, plug in the multiple choice answers for "x" and see which one works!
In this case, A is the correct answer. B is absurdly large, so I omitted it immediately in the attached picture.
In this case, A is the correct answer. B is absurdly large, so I omitted it immediately in the attached picture.