Answer:
An improper fraction is when the numerator of the fraction is larger than the denominator
For example, 13/4 is improper because 13 > 4
An improper fraction can be changed into a mixed number by dividing the numerator by the denominator
For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4
Step-by-step explanation:
9514 1404 393
Answer:
(a, b, c) = (-0.425595, 11.7321, 2.16667)
f(x) = -0.425595x² +11.7321x +2.16667
f(1) ≈ 13.5
Step-by-step explanation:
A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.
Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...
a = -0.425595
b = 11.7321
c = 2.16667
so
f(x) = -0.425595x² +11.7321x +2.16667
and f(1) ≈ 13.5
_____
<em>Additional comment</em>
Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.
See the blue dot in the attached image.
First, find the x value on the coordinate plane. The x value is the first number in the point coordinates, so in this case, it is 4. Move to the right 4. (If it was negative, you would move to the left.)
Then, find the y value, which is the second number of the coordinates. In this case, it is -1, so move down 1. (If it was positive, you’d move up.)
Now, mark this point. This is (4, -1).
Remark
Multiply both sides of the equation by 25. Then you have an equation that you have already done probably.
Step One
Multiply both sides of the equation by 25
1 * (20 - t) = 4t - (3/5) * 25 Every part of the equation must be multiplied by 25
(20 - t) = 4t - 75/5 3*25/5 = 75/5
20 - t = 4t - 15 Add t to both sides
20 - t + t =4t + t - 15 Combine like terms
20 = 5t - 15 Add 15 to both sides
20 + 15 = 5t - 15 + 15 Combine like terms
35 = 5t Divide by 5
35/5 = 5t/5 Switch sides
t = 7 Answer