Answer: The break-even point is x = 15
Step-by-step explanation:
We have the equations:
c(x) = 10*x
r(x) = 210 - 4*x
I suppose that c(x) is the cost equation, and r(x) is the revenue equation.
"break-even" means that you don't lose nor win anything, then the difference between the revenue and the cost is 0.
Then we need to solve:
r(x) - c(x) = 0
(210 - 4*x) - (10*x) = 0
210 - 4*x - 10*x = 0
210 - 14*x = 0
210 = 14*x
210/14 = x
15
This means that for x = 15, you break even.
Answer:
A. 2√5
Step-by-step explanation:
hypotenuse (h) = 6
base (b) = 4
perpendicular (p) = ?
We know by using Pythagoras theorem
p = √h² - b²
= √ 6² - 4²
= √ 20
= 2√5
Hope it will help :)
In the first case we'd subtract 1 from both sides, obtaining |x-1|<14.
In the second case we'd also subtract 1 from both sides, and would obtain
|x-1|>14.
What would the graphs look like?
In the first case, the graph would be on the x-axis with "center" at x=1. From this center count 14 units to the right, and then place a circle around that location (which would be at x=15). Next, count 14 units to the left of this center, and place a circle around that location (which would be -13). Draw a line segment connecting the two circles. Notice that all of the solutions are between -13 and +15, not including these endpoints.
In the second case, x has to be greater than 15 or less than -13. Draw an arrow from x=1 to the left, and then draw a separate arrow from 15 to the right. None of the values in between are solutions.
Cross multiply and solve
1(y^2-9)=6(y-3)
y^2-9= 6y-18
y^2-6y-9+18=0
y^2-6y+9=0
(y-3)(y-3)=0
(y-3)=0
y=3
When you plug y in however, it makes the denominator 0, making both fractions undefined.
Final answer: No real solution
Answer: 58 is the answer
hope this help and here my steps use a mark or a pin
and line it with the line if it's wrong sorry for the wrong
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