Answer: √7 / 2 - 3/2
Step-by-step explanation:
√7-2x+5=8
=> -2x + √7 = 3
=> x = √7 / 2 - 3/2
For a function of
, the average rate of change can be found as follows:
![ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20ARC%3D%5Cfrac%7Bf%28x_%7B2%7D%29-f%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20)
So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem,
is the function, so:
![ARC=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}\\ \\ ARC=\frac{9-8}{4-3} \\ \\ \therefore \boxed{ARC=1}](https://tex.z-dn.net/?f=ARC%3D%5Cfrac%7Bg%28x_%7B2%7D%29-g%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%20%5C%5C%20ARC%3D%5Cfrac%7B9-8%7D%7B4-3%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20%5Cboxed%7BARC%3D1%7D)
Answer:
Step-by-step explanation:
50% Syrup will have equal amount of sugar and water (50x50)
So required amount of water is also 0.5 lbs
Step-by-step explanation:
On a polar plane, the shape will be a line that goes through the pi/2- pi quadrant , and 3pi/2- 2pi quadrant
On a Cartesian or rectangular plane, the shape will be a line as well passing through 2nd and 4th quadrant
Answer:
Function with smallest zero is:
f(x); (2, 0).
Step-by-step explanation:
f(x):
2x2 − 14x + 20 = 0
x^2 - 7x + 10 = 0
(x - 5)(x - 2) = 0
So the zeroes are (2, 0) and (5, 0)
g(x):
From the table:
when g(x) = 0, x =19 so its zero is (19, 0).