Answer
8(40-y) + 6y =300
320 - 8y + 6y =300
-2y=-20
y=10
This leaves x to be 30.
You should spend 30 minutes on machine 1 and 10 minutes on machine 2.
Step-by-step explanation:
The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)
Answer:
y = -2x + 3
y = -1/2x + 5
Step-by-step explanation:
- So the best way to solve is to come up with two slopes, I'd prefer 2 perpendicular slopes because perpendicular lines only cross once hence one solution guaranteed
- so say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1
- then we use the slope intercept form of an equation y = mx + b
- we make up two equations y = -2x + b and y = -1/2x + b , now we can just make up number for b so the two equations are
- y = -2x + 3
- y = -1/2x + 5
- Then we solve them by substituting for y so
- -1/2x + 5 = -2x + 3 and x = -4/3
- and then we put this to get y in either equation
- y = -2(-4/3) + 3
- y = 17/3
- So the equations work
Answer:
-4(x +2)^3 +2(y -8)^2 +3 = 0
Step-by-step explanation:
To shift a function right by h units, replace x with x-h. Here, h = -2, so we want to substitute x+2 for x in the given equation.
To shift a function up by k units, replace y with y-k. Here, k = 8, so we want to substitute y-8 for y in the given equation.
Your translated graph has equation ...
-4(x +2)^3 +2(y -8)^2 +3 = 0
Answer:
79,514
Step-by-step explanation:
