What are the ordered pairs of the solutions for this system of equations? f(x) = x2 – 2x + 3; f(x) = -5x + 1
1 answer:
9514 1404 393
Answer:
(-2, 11), (-1, 6)
Step-by-step explanation:
We can find the values of x that make the difference between the functions be 0.
f(x) -f(x) = 0
x^2 -2x +3 -(-5x +1) = 0
x^2 +3x +2 = 0 . . . . . . . . . . simplify
(x +2)(x +1) = 0 . . . . . . . . . . . factor
Values of x that make these factors zero are solutions:
x = -2, x = -1
The corresponding values of y are ...
y = -5(-2) +1 = 11
y = -5(-1) +1 = 6
The ordered pairs that are solutions are (-2, 11) and (-1, 6).
You might be interested in
Answer: Choice A) mean, there are no outliers
Have a look at the image attached below. I made two dotplots for the data points. The blue points represent bakery A. The red points represent bakery B. For any bakery, the points are fairly close together. There is no point that is off on its own. So there are no outliers, making the mean a good choice for the center. If there were outliers, then the median is a better choice. The mean is greatly affected by outliers, while the median is not.
