Answer:
27.59 without tax
Step-by-step explanation:
27.95 with tax
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
![\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=%5Ctext%7Bx%20%3D%20%7D%5Cdfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E%7B2%7D%20-%204ac%7D%20%7D%7B2a%7D)
![\text{x = }\dfrac{ -(4) \pm \sqrt{4^{2} - 4(-1)4}}{-2}](https://tex.z-dn.net/?f=%5Ctext%7Bx%20%3D%20%7D%5Cdfrac%7B%20-%284%29%20%5Cpm%20%5Csqrt%7B4%5E%7B2%7D%20-%204%28-1%294%7D%7D%7B-2%7D)
![\text{x = }\dfrac{ -(4) \pm \sqrt{16 + 16}}{-2}](https://tex.z-dn.net/?f=%5Ctext%7Bx%20%3D%20%7D%5Cdfrac%7B%20-%284%29%20%5Cpm%20%5Csqrt%7B16%20%2B%2016%7D%7D%7B-2%7D%20)
![\text{x = } 2 \pm \sqrt{32 }\div -2](https://tex.z-dn.net/?f=%5Ctext%7Bx%20%3D%20%7D%202%20%5Cpm%20%5Csqrt%7B32%20%7D%5Cdiv%20-2%20)
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
Answer:
(
1
/11
x^2)(y^3)y^3s^4(33x^3s^4)
=3s^8 x^5 y^6
Step-by-step explanation:
If the length is twice the width, then we could write
and
. For perimeter, there are two length measures and two width measures.
![p = 2l + 2w](https://tex.z-dn.net/?f=p%20%3D%202l%20%2B%202w)
This can be converted into
![2(2w) + 2(w) = p](https://tex.z-dn.net/?f=2%282w%29%20%2B%202%28w%29%20%3D%20p)
Hope I answered your question.