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
Answer:
Step-by-step explanation:
Apply exponent rule:
![\sqrt[n]{a} =a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
![\implies \sqrt[11]{12}=12^{\frac{1}{11}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%5B11%5D%7B12%7D%3D12%5E%7B%5Cfrac%7B1%7D%7B11%7D%7D)
Please consider the complete question.
Michelle bought the same fabric on 3 different occasions and recorded the data below.
Yards of Fabric Total Cost
2.2 $2.53
3.6 $4.14
4.2 $4.83
What was the price per yard of fabric?
To find the cost per yard of fabric, we will divide cost of yards by number of yards.
Let us find cost per yard using 2nd set of data.
Similarly we will find cost per yard for 3rd set of data.
Therefore, the cost per yard of fabric is $1.15.
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
Answer:
I believe the answer is 30 coins
