The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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Answer:
49 dollars
Step-by-step explanation:
700 times .07
What is the interquartile range of the data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}
MissTica
Order the number:
42,42,45,45,48,50,50,55,60,65,80
Mean:50
Quartile 1:45
Quartile 3:60
60-45=15. As a result, the interquartile range is 15. Hope it help!
Answer:
119 and 8/14 I think.
Step-by-step explanation:
Answer: 233 people per thousand
Step-by-step explanation:
Using extrapolation method,
if 150/k in 1950,
200/k in 1990,
275/k in 2020,
2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.
Therefore,
(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)
Where x is the number of retirees per thousand for 2003
Making x the subject of relation in the above equation.
Cross multiply the equation above;
(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)
13(275 - x) = 17(x-200)
3575 - 13x = 17x - 3400
Collect the like terms
3575+3400 = 17x + 13x
30x = 6975
x = 6975/30
x = 232.5
x = 233 people per thousand to the nearest integer
