Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
6 days.
x = weekdays
y = weekends
7x = amount with weekdays
12y = amount with weekends
7x + 12y = 52, total
x + y = 6, amount of days
solve double variable equation
x = 6 - y, plug in to 1st equation
7(6 - y) + 12y = 52
42 - 7y + 12y = 52
5y = 10
y = 2 weekends
2 + x = 6
x = 4 weekdays
Answer:
19
Step-by-step explanation:
You have to convert the fractions to a equivalent fraction. 5/6 to 25/30. 1/5 to 6/30. Then you do 25/30 - 6/30 which gives you 19/30.
Given:
The function is
To find:
The slope of the tangent line at x = 11.
Solution:
The slope of the tangent is the value of f'(x) at x=11.
We have,
Differentiate with respect to x.
![\left[\because \dfrac{d}{dx}x^n=nx^{n-1},\dfrac{d}{dx}C=0,\text{ where C is constant}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D%2C%5Cdfrac%7Bd%7D%7Bdx%7DC%3D0%2C%5Ctext%7B%20where%20C%20is%20constant%7D%5Cright%5D)
Substitute x=11 in the above equation.
Therefore, the slope of the tangent at x=11 is 22.
Answer:
x = - 2
Step-by-step explanation:
Given
6(3x + 4) = 4x - 4 ← distribute parenthesis on left side
18x + 24 = 4x - 4 ( subtract 4x from both sides )
14x + 24 = - 4 ( subtract 24 from both sides )
14x = - 28 ( divide both sides by 14 )
x = - 2
