2/x-9. You must divide 2 by x first to follow the order of operations then subtract by nine.
Answers: b, d and e
b.The graph has a relative minimum
d. The graph has an x intercept at 3,0
e. the graph has an y intercept at 0,-15
f(x)=(x+5)(x-3)
The given equation is in the form of f(x) = a(x-b)(x-c)
If 'a' is positive then graph has a relative minimum
If 'a' is negative then graph has a relative maximum
Here a=1 that is positive so graph has a relative minimum .
To find x intercept we set f(x) =0 and solve for x
0=(x+5)(x-3)
x+5 =0 -> x = -5 so x intercept is (-5,0)
x - 3=0 -> x= 3 so x intercept is (3,0)
To find y intercept we plug in 0 for x
y=(x+5)(x-3)
y=(0+5)(0-3) = -15
so y intercept is (0,-15)
so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.
now we multiply 5.5 times 100 which is equal to 550.
next we subtract 550 - 220= 330.
finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.
Answer:
(5x+2) (x-3)
Step-by-step explanation:
Answer:
There is a decrease of 0.75 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
4p+4x+2px=56
Find the rate at which x is changing when x=2, p=6, and dp/dt=1.5 The rate at which x is changing is [ ] sales per day
Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 2px ). Since both "p" and "x" are only functions of time "t":
d/dt
4p+4x+2px=56
4*dp/dt + 4*dx/dt + 2*(x*dp/dt + p*dx/dt)=0
Use the given values x=2, p=6, and dp/dt=1.5 to determine dx/dt
4*1.5 + 4*dx/dt + 2*(2*1.5+6*dx/dt)=0
6+4dx/dt + 2*(3+6dx/dt)=0
6+4dx/dt + 6+12dx/dt=0
12+16dx/dt=0
12=-16dx/dt
dx/dt= 12/-16
= -0.75
