Answer:
x=10
Step-by-step explanation:
The two line segments should be equal, so you can set 2x-10 equal to x.
2x-10=x
-10=-x
x=10
Answer:
The last option
Step-by-step explanation:
To find a percentage of something you need
The expected is correct marks, the total is the total amount - then you multiply by 100 to turn the decimal into a percentage.
Answer: 160cm
Step-by-step explanation:
32x10 is 320 divided by 2 is 160. Triangle equation for area= bxhdivided by 2
You can spot a linear equation when the highest degree for a variable in the equation is 1.
E.g.
y = 2x +4
The highest power of x in this equation is 1, since variable x of the 2x is x is to the power of 1, and 4 is a constant where you can imagine it to have an x but to the power of 0.
E.g.
y=x^2 + 2x +4
In this case, this would be an quadratic equation because the highest power that the variable x has in this equation is 2 (x to the power of 2).
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
