Answer:
Step-by-step explanation:
Given two upward facing parabolas with equations
The two intersect at
=
x=
area enclosed by them is given by
A=![\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx](https://tex.z-dn.net/?f=%5Cint_%7B-%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%7D%5E%7B%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%7D%5Cleft%20%5B%20%5Cleft%20%28%20x%5E2%2B2%5Cright%20%29-%5Cleft%20%28%206x%5E2%5Cright%20%29%20%5Cright%20%5Ddx)
A=
A=![4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]](https://tex.z-dn.net/?f=4%5Cleft%20%5B%20%5Csqrt%7B%5Cfrac%7B2%7D%7B5%7D%7D%20%5Cright%20%5D-%5Cfrac%7B5%7D%7B3%7D%5Cleft%20%5B%20%5Cleft%20%28%20%5Cfrac%7B2%7D%7B5%7D%5Cright%20%29%5E%5Cfrac%7B3%7D%7B2%7D-%5Cleft%20%28%20-%5Cfrac%7B2%7D%7B5%7D%5Cright%20%29%5E%5Cfrac%7B3%7D%7B2%7D%20%5Cright%20%5D)
A=
Answer:
1. Number 1 and 2 and 4 is a function, 2. number 1 is a function
Step-by-step explanation:
1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.
2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.
Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.
Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.
Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.
The vertical test is a way to determine if it is a function.
When looking at a table functions are one-to-one and many-to-one
Non-functions are one-to-many and many-to-many
Hoped this helped you : )
Answer:
There could be any number of dimensions as long as the two dimensions multiply to 8/9
Step-by-step explanation:
One example of this would be 2 by 4/9
2 * 4/9 = 8/9
Answer:
The 2nd one would be different from the first because you are adding 3.
Step-by-step explanation:
128 ounces in a gallon
128 divided by 4. Gives you 32 bowls of cereal
