Answer:
- <em>To solve these first swap x and y, solve for y and name it inverse function</em>
3. <u>y = -8x + 2</u>
- x = -8y + 2
- 8y = -x + 2
- y = -x/8 + 2/8
- y = -(18)x + 1/4
f⁻¹(x) = -(18)x + 1/4
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4.<u> y = (2/3)x - 5</u>
- x = (2/3)y - 5
- (2/3)y = x + 5
- y = (3/2)x + (3/2)5
- y = 1.5x + 7.5
f⁻¹(x) = 1.5x + 7.5
-----------------------------------------
5. <u>f(x) = 2x² - 6</u>
- x = 2y² - 6
- 2y² = x + 6
- y² = 1/2x + 3
- y =

f⁻¹(x) = 
-----------------------------------------
6. <u>y = (x - 3)²</u>
- x = (y - 3)²
= y - 3- y = 3 +

f⁻¹(x) = 3 + 
Answer:
a) The probability that all five are brand A is 0.0288
b) The probability that exactly two bottles are brand A is 0.0288
c) The probability that none of the bottles is brand A is 0.0048
Step-by-step explanation:
We have 9 bottles of brand A and 7 bottles of brand B.
The total of bottles is 16.
a) The probability that all five bottles are brand A is given by:

b) Since we have 9 bottles of brand A we calculate the probability of picking two brand A bottles and the we calculate the probability of picking 3 brand B bottles:

c) The probability that none of the bottles is brand A is the same as picking 5 brand B bottles:

If these are number systems then it will turn out like this 