Answer:
Question 1
probability of a red marble in the first draw = 1/10
probability of a orange marble in the second draw = 4/9
probability of getting red in first and orange in second (without replacement) = 1/10 * 4/9 = 2/45,
Question 2
6 outcomes
1/6
Answer:
f⁻¹(x) = (x - 1)/8
Or
f⁻¹(x) = 1/8 x - 1/8
Step-by-step explanation:
To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".
Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".
f(x) = 8x + 1
y = 8x + 1
<u>Switch the "x" and "y" variables</u>
x = 8y + 1
<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting
8y + 1 = x
8y + 1 - 1 = x - 1 Subtract 1 from both sides
8y = x - 1
Divide both sides by 8 and simplify
Inverse equation
Slope-intercept form
<u>Use function notation</u>, change "y"
Simplified
Slope-intercept form
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
I am going to do number 2 so when you subtract decimals you have to add two zeros like this 10.00 or 0.25 so now when you subtract you get $9.75
P = 8 because 8+1=9 and 9•2=18
