Answer:
Step-by-step explanation:
First, cross multiply.
(x+4)(x+1)=4(2x+2)
x^2+5x+14=8x+8
x^2-3x-4=0
(x+1)(x-4)=0
x+1=0 x-4=0
x = -1, x=4
Answer:
C.) -7/5
Step-by-step explanation:
To subtract fractions, we need to have common denominators. So first, we will change -1 1/5 to -6/5.
Now we will change the denominator of both -6/5 and 1/2 to 10.
We now have:
5/10 and -12/10
5-12=-7
So the answer would be -7/5
If we want to use the number line, we would first find 5/10 (1/2) on the graph and count down (to simulate subtraction) 12 units since we are subtracting by 12. :))
Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
Since one hour = 45 years, one minute should be 1/60th of 45 years because 60 minutes = an hour.
45/60 = 3/4
So one minute would be 3/4 of an hour, or 45 minutes.
Hope this helps!
