Answer:
See below.
Step-by-step explanation:
7x^2 = 343 Divide both sides by 7
7x^2/7 = 343/7
x^2 = 49 Take the square root of both sides.
sqrt(x^2) = sqrt(49)
x = +/- 7
Answers
I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.
Answer:
b
Step-by-step explanation:
Answer:
The volume of the solid is:
Step-by-step explanation:
See the graph of the region attached.
To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:
Since the region is the one for 
then the intersection we are interested on is x=1 as it can also be seen in the graph.
Then we set the integral using shell method for revolving about the y-axis:
Where h(x) is the height of the shell which here is the distance between the parabola and the line, so 
(since the line is on the top we subtract from it the parabola)
Then the integral becomes:
Notice the limits of the integral are the x-axis (x=0) and the intersection of the parabola and the line that we found before (x=1)
Now, solving the integral:
Start by factoring the 
and distributing the x:
Then use the basic rule to integrate:
Then evaluate the antiderivative in the limits and subtract:
![=\displaystyle2\pi\left[\frac{9}{2}-\frac{8}{3}-\frac{1}{4}-0\right]=\frac{19\pi}{6}](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle2%5Cpi%5Cleft%5B%5Cfrac%7B9%7D%7B2%7D-%5Cfrac%7B8%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D-0%5Cright%5D%3D%5Cfrac%7B19%5Cpi%7D%7B6%7D)
So the volume of the solid is
The transformed function is defined by:
g(x) = -f(x/5 - 2) - 6
Where f(x) is the given function.
<h3 /><h3>How to get the equation of the transformed function?</h3>
Here we start with the function:
f(x) = (1/3)*x
(I don't know if this is the actual function, but that does not matter, I will solve it in a general way).
If first, we reflect it vertically, then the new function is:
g(x) = -f(x).
If now we compress it horizontally by a factor of 5, then we get:
g(x) = - f(x/5)
Now we shift it 2 units to the right, then:
g(x) = -f(x/5 - 2)
Finally, we shift it down 6 units, then we get:
g(x) = -f(x/5 - 2) - 6
That is the general form of the function g(x).
Replacing f(x) by what is defined above, we get:
g(x) = -(1/3)*(x/5 - 2) - 6
If you want to learn about transformations:
brainly.com/question/4289712
#SPJ1
Answer:
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64
Step-by-step explanation:
Trust me :)
