Answer:
g(6) = 71
f(11) = 62
Step-by-step explanation:
Let's solve g(6) first
Plug 6 into x
g(6) = 2(6)^2 - 1
g(6) = 2(36) - 1
g(6) = 72 - 1
g(6) = 71
Now let's solve f(11)
f(11) = 5(11) + 7
f(11) = 55 + 7
f(11) = 62
<em>Thus, out answers are 71 and 62 respectively</em>
AK = 640
Δ ABC and ΔFJK are similar. They are small triangles.
ΔCDF is the big triangle.
640 / 2 = 320 m= CF
AC & FK= 320/2 = 160 m each
2AC = CF = 2FK
2(160) = 320 = 2(160)
BG = 20 m
20/160 = x / 320
20*320 = 160x
6400 = 160x
6400/160 = x
40 = x
Area of CDF = (40 m * 320 m)/2 = 12,800 / 2= 6,400 m²
Answer:
Cystic fibrosis (CF) is a disease that is passed down through families.
If I didn't answer correctly then I don't understand the question.
Step-by-step explanation:
It is caused by a defective gene that makes the body produce abnormally thick and sticky fluid, called mucus. This mucus builds up in the breathing passages of the lungs and in the pancreas.
Answer: 51
Step-by-step explanation:
17% of 300 is 51
300 x .17 =51.
Answer:
![x = \frac{ - 3b}{4} \: or \: b](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%203b%7D%7B4%7D%20%20%5C%3A%20or%20%5C%3A%20b)
Step-by-step explanation:
![\frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bb%20%2B%20x%7D%20%20%3D%20%20%5Cfrac%7B3b%7D%7B2%20%7Bx%7D%5E%7B2%7D%20%7D%20%20-%20%20%5Cfrac%7B1%7D%7Bx%7D%20)
![= > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%5Cfrac%7B1%7D%7Bb%20%2B%20x%7D%20%20%3D%20%20%5Cfrac%7B3b%20-%202x%7D%7B2%20%7Bx%7D%5E%7B2%7D%20%7D%20)
![= > 2 {x}^{2} = (b + x)(3b - 2x)](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%28b%20%2B%20x%29%283b%20-%202x%29)
![= > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202%20%7Bx%7D%5E%7B2%7D%20%20%3D%203%20%7Bb%7D%5E%7B2%7D%20%20-%202bx%20%2B%203bx%20-%202%20%7Bx%7D%5E%7B2%7D%20)
![= > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202%20%7Bb%7D%5E%7B2%7D%20%20%3D%203%20%7Bb%7D%5E%7B2%7D%20%20%2B%20bx%20-%202%20%7Bx%7D%5E%7B2%7D%20)
![= > 3 {b}^{2} + bx - 4 {x}^{2} = 0](https://tex.z-dn.net/?f=%20%3D%20%20%3E%203%20%7Bb%7D%5E%7B2%7D%20%20%2B%20bx%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%3D%200)
![= > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0](https://tex.z-dn.net/?f=%20%3D%20%20%3E%203%20%7Bb%7D%5E%7B2%7D%20%20%2B%204bx%20-%203bx%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%3D%200)
![= > b(3b + 4x) - x(3b + 4x) = 0](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20b%283b%20%2B%204x%29%20-%20x%283b%20%2B%204x%29%20%3D%200)
![= > (3b + 4x)(b - x) = 0](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%283b%20%2B%204x%29%28b%20-%20x%29%20%3D%200)
Hence,
![x = \frac{ - 3b}{4} \: or \: b](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B%20-%203b%7D%7B4%7D%20%20%5C%3A%20or%20%5C%3A%20b)