Answer:
35%
total number of 11th graders = 32+18 = 50
calculating percentage:
18÷50×100
= 36%
The answer to your question is: Yes, someone undoubtedly can.
Although you haven't asked to be told or shown how to solve it, I'm here
already, so I may as well stick around and go through it with you.
The sheet is telling you to find the solutions to two equations, AND THEN
DO SOMETHING WITH THE TWO SOLUTIONS. But you've cut off the
instructions in the pictures, so all we have are the two equations, and
you'll have to figure out what to do with their solutions.
<u>First equation:</u>
(2/5) x - 6 = -2
Add 6 to each side:
(2/5) x = 4
Multiply each side by 5:
2x = 20
Divide each side by 2 :
<u>x = 10</u>
<u>Second equation:</u>
-3y + 1/4 = 13/4
Subtract 1/4 from each side:
-3y = 12/4
Multiply each side by 4 :
-12 y = 12
Divide each side by -12 :
<u> y = -1</u>
The Taylor series is defined by:
![f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csum%20%5Cfrac%7Bf%5En%20%28a%29%7D%7Bn%21%7D%20%28x-a%29%5En)
Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.
Derivatives can be found using product rule:
![f^n (x) = e^x g^{n-1} (x) + e^x g^n (x) \\ g^0 (x) = sin x](https://tex.z-dn.net/?f=f%5En%20%28x%29%20%3D%20e%5Ex%20g%5E%7Bn-1%7D%20%28x%29%20%2B%20e%5Ex%20g%5En%20%28x%29%20%20%5C%5C%20g%5E0%20%28x%29%20%3D%20sin%20x)
Do this successively to n = 6.
![f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x) \\ f^3 (x) = e^x(2cos x - 2sin x) \\ f^4 (x) = e^x (-4 sin x) \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)](https://tex.z-dn.net/?f=f%5E1%20%28x%29%20%3D%20e%5Ex%20%28sinx%20%2Bcos%20x%29%20%5C%5C%20f%5E2%20%28x%29%20%3D%20e%5Ex%20%282cos%20x%29%20%20%5C%5C%20f%5E3%20%28x%29%20%3D%20e%5Ex%282cos%20x%20-%202sin%20x%29%20%20%5C%5C%20f%5E4%20%28x%29%20%3D%20e%5Ex%20%28-4%20sin%20x%29%20%20%5C%5C%20f%5E5%20%28x%29%20%3D%20e%5Ex%28-4sinx%20-4cos%20x%29%20%5C%5C%20f%5E6%28x%29%20%3D%20e%5Ex%28-8cos%20x%29)
Plug in x=0 and sub into taylor series:
![e^x sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...](https://tex.z-dn.net/?f=e%5Ex%20%20sin%20x%20%3D%20x%2Bx%5E2%20%2B%5Cfrac%7Bx%5E3%7D%7B3%7D%20-%5Cfrac%7Bx%5E5%7D%7B30%7D-%5Cfrac%7Bx%5E6%7D%7B90%7D...)
If more terms are needed simply continue the recursive derivative formula and add to taylor series.
The is a I think or it could be c I really don’t know sorry I try’s
Set 4n+3 equal to zero
4n+3=0
4n=-3
n=-3/4
Set 2n-7 equal to zero
2n-7=0
2n=7
n=7/2
and XZ=22
draw a triangle and label its points X,Y,Z.
then fill in your data