The best answer best on the information provided would be chocolates per bag.
Answer:
f^-1(x) = (x/8)^(1/5) is a function
Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 8x^5
x = 8y^5
x/8 = y^5
(5)√(x/8) = y
This is a fifth root of (x/7) also written in exponents as y = (x/8)^(1/5).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
Answer:
The arc length is 87.5 inches.
Step-by-step explanation:
Given that,
Arc length = S = ?
Angle = theta = 100°
Radius = r = 50 inches
The relation between the arc length (S), angle (theta) and radius (r) is calculated using
However, the angle should be in radian.
To convert degrees into radian, we use:
=>
=> 1.75 radian
By putting values in the above relation, we get
Therefore, the arc length is 87.5 inches.
Answer:
-
- The cost of surfing the web at the café for one hour:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Take two points and substitute them into the formula for calculate the slope (The formula is ).
Having these points:
and
You can identify that:
Then, the slope is:
Substitute the slope and the coordinates of any point on the line into the equation and then solve for "b":
Therefore, equation in Slope-Intercept form that represents the function is:
Since 1 hour hour has 60 minutes, you need to substitute into the equation and then evaluate, in order to find the cost of surfing the web at the café for one hour. Then:
Answer:
16 - 6n
Step-by-step explanation:
10 , 4 , -2 , - 8 .....
This is arithmetic sequence
first term = 10
Common difference = 2nd term - first term
d = 4 - 10
d = -6
nth term = a₁ + (n -1)d
= 10 + (n - 1)*(-6)
= 10 + n*(-6) - 1*(-6)
= 10 - 6n + 6
= 10 + 6 - 6n
= 16 - 6n