Please write this equation as <span>f(x) = −18 + x^2 − 3x
Rewrite it in descending order by powers of x: f(x) = x^2 - 3x - 18
Since the coefficient of the x^2 term is +, the graph opens UP.</span>
Answer:
Ben's rate is
greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is
of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is
of reports per day.
3. Ben's rate is
![\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B3-2%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B6%7D)
greater than Kate's rate.
Answer:
1 / 36 ft³
Step-by-step explanation:
Length = 1/2 ft
Width = 1/6 ft
Height = 1/3 ft
The volume of the tank can be obtained using the relation :
Volume = Length * width * height
Volume = (1/2 * 1/6 * 1/3) ft³
Volume = 1 / 36 ft³
Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
![m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%20%5Cfrac%7B625-465%7D%7B7-5%7D%20%3D%5Cfrac%7B160%7D%7B2%7D%20%3D80)
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.