11,340 I believe. 5% of 8400 is 420. 420*7=2940 2940+8400=11340
Answer:
4x^2 -8
Step-by-step explanation:
f(x)=3x^2-9
g(x)=x^2+1
(f+g)(x)=3x^2-9 +x^2+1
Combine like terms
= 4x^2 -8
Answer:
x = 19
Step-by-step explanation:
∠ YWX = ∠ ZYW = 2x ( alternate angles )
The sum of the 3 angles in Δ WXY = 180° , that is
3x - 5 + 2x + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
Given:
The geometric sequence is:
![\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B9%7D%2C%5Cdfrac%7B-7%7D%7B3%7D%2C7%2C-21%2C63%2C...)
To find:
The 9th term of the given geometric sequence.
Solution:
We have,
![\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B9%7D%2C%5Cdfrac%7B-7%7D%7B3%7D%2C7%2C-21%2C63%2C...)
Here, the first term is:
![a=\dfrac{7}{9}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B7%7D%7B9%7D)
The common ratio is:
![r=\dfrac{a_2}{a_1}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Ba_2%7D%7Ba_1%7D)
![r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B%5Cdfrac%7B-7%7D%7B3%7D%7D%7B%5Cdfrac%7B7%7D%7B9%7D%7D)
![r=\dfrac{-7}{3}\times \dfrac{9}{7}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B-7%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B9%7D%7B7%7D)
![r=-3](https://tex.z-dn.net/?f=r%3D-3)
The nth term of a geometric sequence is:
![a_n=ar^{n-1}](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D)
Where, a is the first term and r is the common ratio.
Substitute
to find the 9th term.
![a_9=\dfrac{7}{9}(-3)^{9-1}](https://tex.z-dn.net/?f=a_9%3D%5Cdfrac%7B7%7D%7B9%7D%28-3%29%5E%7B9-1%7D)
![a_9=\dfrac{7}{9}(-3)^{8}](https://tex.z-dn.net/?f=a_9%3D%5Cdfrac%7B7%7D%7B9%7D%28-3%29%5E%7B8%7D)
![a_9=\dfrac{7}{9}(6561)](https://tex.z-dn.net/?f=a_9%3D%5Cdfrac%7B7%7D%7B9%7D%286561%29)
![a_9=5103](https://tex.z-dn.net/?f=a_9%3D5103)
Therefore, the 9th term of the given geometric sequence is 5103.
The entire angle is a 90 degree angle.
Subtract the entire angle from what is given to find x.
90-28=62
x=62