Answer:
equation: y = 12x
Dr. Betz worked for 8 hours.
Step-by-step explanation:
To write the equation we'll use the form y = mx, where y represents the amount of time the Doctor worked, m is the amount of minutes it takes to treat each animal, and x is how many animals have been treated. We know the value of m is 12, so let's put that into the equation:
y = 12x
Now we have our equation. We can use it to see how long Dr. Betz worked. He treated a total of 40 animals - 20 including the shaggy dog, and 20 after the shaggy dog. let's replace x with 40:
y = 12(40)
Now solve:
y = 480
Dr. Betz worked for 480 minutes. There are 60 minutes in an hour. Divide 480 by 60 to find out how many hours Dr. Betz worked for:
480/60 = 8
Dr. Betz worked for 8 hours.
we are given
f(x)=[x=1]
where bracket means ceiling functions
we know that
Ceiling function returns the least value of the integer that is greater than or equal to the specified number
so, we can check each options
option-A:
At x=-4:
f(x)=[-4-1] =-5
For x<-3:
Let's assume
x=-3.1
f(x)=[-3.1-1] =[-4.1]=-5
so, this interval is TRUE
option-B:
At x=-2:
f(x)=[-2-1] =-3
For x<-1:
Let's assume
x=-1.1
f(x)=[-1.1-1] =[-2.1]=-3
so, this is FALSE
Answer:
x = 17.82
Step-by-step explanation:
6x + 8% = 107
-8% -8%
or
107 - 0.08 = 106.92
-----------------------------------
6x = 106.92
÷6 ÷6
x = 17.82
------------------------------------
I hope this helps!
Answer:
a. direct
Step-by-step explanation:
direct variation is y = kx and y = -2/5x is written in direct variation.
Answer:
Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.
Using distance formula for AB we obtain,
AB^2=(x2-x1)^2 + (y2-y1)^2
5^2=(3+1)^2 + (1-y)^2
25-16=(1-y)^2
9=(1-y)^2
1-y=3
y= -2
Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.
