Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
Answer:
x = 0
y = 2
Step-by-step explanation:
3x + 9y = 18 ---------eqn 1
y = x + 2---------eqn 2
Substitute eqn 2 into eqn 1, for the value of y
3x + 9( x + 2) = 18
3x + 9x + 18 = 18
12x + 18 = 18
12x = 18 -18
12x = 0
Divide both sides by 12 , to get the value of x.
12x/ 12 = 0/12
x = 0
Substitute x = 0 into eqn 2
y = x + 2
y = 0 +2
y = 2
Hint: to confirm the values
x = 0
y = 2
Let's take eqn 1 ,
3x + 9y = 18
3(0) + 9(2)
= 0 + 18
= 18
Correct
Let's take eqn 2
y = x + 2
Let's find y
y = 0 + 2
y = 2
Correct too
A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x
<h3>
How to calculate the volume of a box</h3>
- Length of box = x
- Width of the box is 4 inches less than the length. Thus; width = x - 4
- Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5
Now, the formula for volume of a box is;
V = length × width × height
Thus;
V = x • (x - 1) • (x - 5)
V = x(x² - x - 5x + 5)
V = x(x² - 6x + 5)
V(x) = x³ - 6x² + 5x
In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x
Read more on volume of a box at; brainly.com/question/15532376
