The question is how many out of 12 is 1/4? We can do this in a couple of ways. First, set up this equation:
x/12 = 1/4
Solve it by multiplying both sides by 12:
x/12 = 1/4
x = 12/4
x = 3
The other way to solve this is to ask yourself "how many times does 4 go into 12?" The answer there is 3. So 1 * 3 = 3. Either way, Bobby at 3 slices!
Given:
The expression is
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D)
To find:
The simplified form of given expression.
Solution:
We have,
It can be written as
![\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B3%5D%7B9%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
![\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7B%5Csqrt%5Ba%5D%7Bx%7D%7D%7B%5Csqrt%5Ba%5D%7By%7D%7D%3D%5Csqrt%5Ba%5D%7B%5Cdfrac%7Bx%7D%7By%7D%7D%5Cright%5D)
Therefore, the simplified form of given expression is ![\sqrt[3]{\dfrac{9}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%7D%7B4%7D%7D)
.
Note: We can further simplify this expression but be need use exponential properties.
Answer:
b(t) = 70,000 + 3000t . . . . . salary after t years; t∈{0,1,2,3,4,5,6}
Step-by-step explanation:
We can let b(t) represent Benny's salary function with t being the number of completed years at the law firm, an integer. The function's domain includes only the first 6 years at the firm.
Since Benny gets the same raise each year, The function is linear. Its "y-intercept" is Benny's initial salary, and the rate of change is Benny's annual increase:
b(t) = 70,000 + 3,000t . . . . salary in dollars after t years with the firm
One hundred and fifty-seven thousand, eight hundred and two
Answer:
y=-4
Step-by-step explanation:
i don't explain things
