Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.
Answer:
3×2 + 3×-b
Step-by-step explanation:
![3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b](https://tex.z-dn.net/?f=3%282-b%29%5C%5C%3D%203%5Ctimes%202%20%2B%203%5Ctimes%20%28-b%29%5C%5C%5C%5C%3D%206%20-3b)
I think the answer may be 291
Find the equation of the inverse.
![y = {2}^{x + 5} - 6](https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206)
we have
![y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6](https://tex.z-dn.net/?f=y%3D%5Cmleft%5C%7B2%5Cmright%5C%7D%5E%7B%5Cmleft%5C%7Bx%2B5%5Cmright%5C%7D%7D-6)
step 1
Exchange the variables
x for y and y for x
![x=\{2\}^{\{y+5\}}-6](https://tex.z-dn.net/?f=x%3D%5C%7B2%5C%7D%5E%7B%5C%7By%2B5%5C%7D%7D-6)
step 2
Isolate the variable y
![(x+6)=2^{(y+5)}](https://tex.z-dn.net/?f=%28x%2B6%29%3D2%5E%7B%28y%2B5%29%7D)
apply log both sides
![\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Clog%20%28x%2B6%29%3D%28y%2B5%29%5Ccdot%5Clog%20%282%29%20%5C%5C%20y%2B5%3D%5Cfrac%7B%5Clog%20%28x%2B6%29%7D%7B%5Clog%20%282%29%7D%20%5C%5C%20%20%5C%5C%20y%3D%5Cfrac%7B%5Clog%28x%2B6%29%7D%7B%5Clog%282%29%7D-5%20%5Cend%7Bgathered%7D)
step 3
Let
![f^{(-1)}(x)=y](https://tex.z-dn.net/?f=f%5E%7B%28-1%29%7D%28x%29%3Dy)
therefore
the inverse function is
Pick any number. Multiply the 7 and the 11 both by it,
and you'll have an equivalent ratio.
Examples:
(by 2) . . . 14 to 22
(by 6) . . . 42 to 66
(by 10). . . 70 to 110
(by a million) . . . 7 million to 11 million