4.781, 4.782,4.783,4.784,4.785
I can't explain though:(
2 or 3 caps = 13
6 or 7 caps = 6
13 - 6 = 7
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
learn more on inverse of a function here: brainly.com/question/3831584
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Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
