Answer:
395 minutes
Step-by-step explanation:
See above for the answer
Answer: Choice D. 15 - (-18)
This results in 15 - (-18) = 15 + 18 = 33.
So from -18 to 15 on a number line is 33 spaces.
We can also say
|-18 - 15| = |-33| = 33
The use of absolute value is to ensure the distance is never negative.
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works
at maximum. dt/dh=0
if you differentiate you will get
-32t=-100
t=3.125
