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:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
Current Account Balance = $1,624.35
Initial Deposit = $975
Interest Rate (Simple) = 3.7% simple interest
Interest Earned = Current Account Balance - Initial Deposit
⇒ Interest Earned = $1,624.35 - $975
⇒ Interest Earned = $649.35
Now the Formula for Simple Interest is:
Simple Interest = ×, where P is the initial deposit, R is the rate of interest and T is the time period
⇒ 649.35 =
⇒ T =
⇒ T = 18
Hence, Jeremiah has had the account for 18 years.