we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Divide both sides by 

Rewrite as perfect squares

Taking the square roots of both sides (square root property of equality)

Remember that





<u>the answer is</u>
The solutions are


The answer is (-x^2 - 3x +28)
The original selling price is found by multiplying 100% by $10 and adding that to the original $10. The logo shirt goes on the sale floor for $20. Each of the next three months, the reduced price is found by multiplying the current sale price by 75%. The tax is found by multiplying 5% by the final discounted price and adding the tax to the final sale price.
Answer:
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
Answer:

Step-by-step explanation:
given is the Differential equation in I order linear as

Take Laplace on both sides
![L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}](https://tex.z-dn.net/?f=L%28y%27%29%20%2B4L%28y%29%20%3D%2048L%28t%29%5C%5CsY%28s%29-y%280%29%20%2B4Y%28s%29%20%3D%2048%20%2A%5Cfrac%7B1%7D%7Bs%5E2%7D%20%5C%5CY%28s%29%20%5Bs%2B4%5D%3D%5Cfrac%7B48%7D%7Bs%5E2%7D%2B9%5C%5CY%28s%29%20%3D%20%5Cfrac%7B1%7D%7Bs%5E2%28s%2B4%29%7D%2B%5Cfrac%7B9%7D%7Bs%2B4%7D)
Now if we take inverse we get y(t) the solution
Thus the algebraic equation would be