Answer:
127
Step-by-step explanation:
The sum of 7 terms of the series 1 +2 +4 +... with first term 1 and common ratio 2 is given by ...
Sn = a1 × (r^n -1)/(r -1) . . . . . . first term a1, common ratio r
S7 = 1 × (2^7 -1)/(2 -1) = (128 -1)/1 = 127
At the end of 6 months, the club will have 127 members.
To find the inverse of a function:
1. Replace f(x) with y.
2. Switch x and y.
3. Solve for y.
4. Replace y with f-1(x) (notation for inverse fucntions)

Let's use y instead of f(x).

Switch the variables...

Now, we solve for y.



Now, just put that inverse function notation on there.
Answer:
a. 0.107
b. 0.535
c. 0.642
d. 0.4
e. 0.25
f. 0.063
Step-by-step explanation:
Please see attachment
Step-by-step explanation:
are vertically opposite angles.
![\therefore \: \angle PTS\: = \: \angle QTR \\ \\ \therefore \: [11(y - 10)] \degree = (4y - 5)\degree \\ \\ \therefore \:11y - 110 = 4y - 5 \\ \\ \therefore \:11y - 4y = 110 - 5\\ \\ \therefore \:7y = 105 \\ \\ \therefore \:y = \frac{105}{5} \\ \\ \huge \red{ \boxed{\therefore \:y = 15}} \\ \\ \therefore \: m\angle PTS\: =[11(y - 10)] \degree \\ = [11(15- 10)] \degree \\ = [11 \times 5] \degree \\ \huge \orange{ \boxed{\therefore \: m\angle PTS\: = 55 \degree}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20PTS%5C%3A%20%20%3D%20%5C%3A%20%5Cangle%20QTR%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%3D%20%284y%20-%205%29%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A11y%20-%20110%20%3D%204y%20-%205%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A11y%20-%204y%20%3D%20110%20-%205%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A7y%20%3D%20105%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B105%7D%7B5%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%2015%7D%7D%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%20%3D%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%20%20%5C%5C%20%20%3D%20%5B11%2815-%2010%29%5D%20%20%5Cdegree%20%5C%5C%20%20%3D%20%5B11%20%5Ctimes%205%5D%20%20%5Cdegree%20%5C%5C%20%20%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%3D%2055%20%5Cdegree%7D%7D)
Answer:
Step-by-step explanation:
there is no solution:
6-2(3-2x) = -4(3-x)
6-6+4x= -12+4x
4x= -12+4x
0=-12