Step-by-step explanation:
12y-(-4-8y)
= 12y +4 + 8y. ['-' getting multiplied when brackets open]
= 12y + 8y +4. [ Adding the like terms ]
= <u>20 y + 4 (Ans)</u>
Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
12 hours..........
+ - = 1
Multiply by 12 to clear the fractions
3t + 2t - 4t = 12
t = 12 hrs to fill the pool
Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression
We'll take the first two points P(34,-52) and Q(51,-65) to find
Let's verify if the third point is on the line:
It belongs to the line. To find the y-intercept of the line, we set x to 0
The y-intercept is (0,-26)
4 = 7 - 3
1 = 4 - 3
-2 = 1 - 3
-5 = -2 - 3
=> An = A (n-1) - 3, where A1 = 7
The next term is A6 = A5 - 3 = - 5 - 3 = - 8
So the answer is the fourth option.