Answer:
The inverse of the function is (3x+4)/2
Step-by-step explanation:
To find the inverse, exchange x and y and then solve for y
y = (2x-4) /3
Exchange x and y
x = (2y-4)/3
Solve for y
Multiply each side by 3
3x = (2y-4)/3 *3
3x =2y-4
Ad 4 to each side
3x+4 = 2y-4+4
(3x+4) =2y
Divide each side by 2
(3x+4)/2 =2y/2
(3x+4)/2 = y
The inverse of the function is (3x+4)/2
Answer:
Step-by-step explanation:
One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i
3(5-2i) =
3·5 -3·2·i =
15 -6i or -6i +15
Answer:
7.35 years
Step-by-step explanation:
Given that :
mean = 8.4
standard deviation = 0.6
From the negative z tables, the corresponding data for 0.04 = -1.75
So, using the z-score formula:
-1.75 × 0.6 = x - 8.4
- 1.05 = x - 8.4
x = -1.05 + 8.4
x = 7.35 years
the shortest lifespan will last less than 7.35 years
∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)
= 9.45 years
Answer:
40
Step-by-step explanation:
They said plus 7 that means you subtract 7 from 27 to get 20. Then you do 20 + 20 to see what 20 is half of which is 40.
Let
x = first consecutive number
x + 1 = second consecutive number
Based on the problem, we equate
x + (x + 1) = 107
Solving for x,
2x + 1 = 107
2x = 107 - 1
2x = 106
x = 106/2 = 53
and x + 1 = 54
Therefore, the numbers are 53 and 54.
