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.
To answer this question, we first have to set up an equation with variables.
We can use "x" to represent the cost of each bracelet.
Equation: number of bracelets bought × cost of each bracelet = total cost
Number of bracelets bought: 7
Total Cost: 49
Using this information, we can fill in the equation and solve for x.
7x = 49
To isolate x, divide both sides by 7.
x = 7
Since x equals 7, we now know that each bracelet cost $7.
Answer:
Sample Response: Jason needs to substitute the value he found for x in the original equation. Then he needs to use order of operations to simplify. If the result is a true statement then Jason’s solution is correct.
Step-by-step explanation:
In 2010 roughly 40 times more people were living in California than Rhode Island.
Answer:
x = 
Step-by-step explanation:
First, subtract 10 from both sides of the equation.
Divide both sides by 5.
