Short Answerx1 = 4.8284
x2 = - 0.828
RemarkSubstitute the value for y from the first equation into the second equation. Multiply by 4 and then see if it factors out. Solve for x first and then y.
Step one Solve for y in the first equation. Subtract x from both sides.
y = 2 - x
Step TwoEquate the two ys.
2 - x = - 1/4x^2 + 3
Step ThreeBring the left side over to the right side.
0 = -1/4 x^2 + x + 3 - 2 Combine the like terms.
0 = -1/4 x^2 + x + 1
Step Four0 = -1/4 x^2 + x + 1 Multiply through by 4
0 = - x^2 + 4x + 4
Step fiveThis won't factor. The only thing you can do is use the quadratic equation for roots.
a = - 1
b = 4
c = 4
x = 2 +/- sqrt(4^2 * 2) / (- 2)
x = 2 +/- 4 sqrt(2) / - 2
x = 2 -/+ 2 sqrt(2)
x = 2 -/+ 2 *(1.414)
x = 2 -/+ 2.828
x1 = 4.8284
x2 = - 0.828
An exponential increase may be represented as y = A(B^x).
You can find the parameters A and B using the initial condition and the value after 2 years.
1) Initial condition: x = 0 => y = 500 => 500 = A(B^0) = A(1) = A => A = 500 => y = 500 (B^x)
2) After 2 years y = 500 (B^2) = 551.25 => (B^2) = 551.25 / 500 = 1.1025 => x = sqrt(1.1025) = 1.05.
Then A = 500 and B = 1.05 => x = 500 (1.05)^x.
<span>Answer: option b., y = 500 (1.05)^x</span>
Answer:
i cant tell where the point is
Step-by-step explanation:
???? sorry i couldnt help
Answer:
3 + 3y is your answer!
Step-by-step explanation:
5 - 2 = 3
-7y + 10y = 3y
Answer:
Step-by-step explanation:
The Break Even point is the point at which the cost=revenue
14,980+20x=30x
14,980=10x
1,498=x
a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960
b. The profit function is P(x)=R(x)-C(x)
So P(x)=30x-(14,980+20x)
If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.