Answer:
The inverse is ((5-x)/4) ^ 1/3
Step-by-step explanation:
y = 5-4x^3
Exchange x and y
x = 5-4y^3
Subtract 5 from each side
x-5 =5-5-4y^3
x-5 = -4y^3
Divide each side by -4
(x-5)/ -4 = y^3
Take the cube root
((x-5)/ -4) ^ 1/3 = y^ 3 ^1/3
((5-x)/4) ^ 1/3 = y
The inverse is ((5-x)/4) ^ 1/3
Caitlin = 20 laps
Hannah = 4/5 as many laps
Multiply the laps swan by Caitlin (20) by 4/5
20 x 4/5 = 80/5 = 16
Hannah swam 16 laps
Answer:
0.75
Step-by-step explanation:
We do y/x to find out the Unit Rate.
So 1.2/1.6 = 0.75
If two lines have the same slope, then they are always parallel, unless they are the same line. Parallel lines means they never touch, but if you have the same line, they would be touching.
If two lines have the same slope and y-intercepts, then they are the same line, therefore not parallel because they touch each other.
Divide 63 by the denominator of the probability: 63/9= 7
Now, multiply 7 by the numerator of the fraction to get the number of red marbles are 7x7=49