P+q= 5x^2+2
q-p= -(x-2) (x+2)
<u>Answer:</u>
The correct answer option is B. 2 = 3x + 10x^2
<u>Step-by-step explanation:</u>
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
![x=\frac{-3 \pm\sqrt{(3)^2+4(10)(2)} }{2(10)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%20%5Cpm%5Csqrt%7B%283%29%5E2%2B4%2810%29%282%29%7D%20%7D%7B2%2810%29%7D)
Here,
and
.
These requirements are fulfilled by the equation 4 which is:
![12=3x+10x^2](https://tex.z-dn.net/?f=12%3D3x%2B10x%5E2)
Rearranging it to get:
![10x^2+3x-2=0](https://tex.z-dn.net/?f=10x%5E2%2B3x-2%3D0)
Substituting these values of
in the quadratic formula:
![x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
![x= \frac{-3 \pm\sqrt{(3)^2-4(10)(-2)} }{y}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-3%20%5Cpm%5Csqrt%7B%283%29%5E2-4%2810%29%28-2%29%7D%20%7D%7By%7D)
24 hours
Because 24 hours equals 1 day or one rotation of the clock
Answer:
Final answer is
.
Step-by-step explanation:
Given problem is
.
Now we need to simplify this problem.
![\sqrt[3]{x}\cdot\sqrt[3]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E2%7D)
![\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E1%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E2%7D)
Apply formula
![\sqrt[n]{x^p}\cdot\sqrt[n]{x^q}=\sqrt[n]{x^{p+q}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ep%7D%5Ccdot%5Csqrt%5Bn%5D%7Bx%5Eq%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bp%2Bq%7D%7D)
so we get:
![\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{1+2}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E1%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E2%7D%3D%5Csqrt%5B3%5D%7Bx%5E%7B1%2B2%7D%7D)
![\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E1%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E2%7D%3D%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D)
![\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E1%7D%5Ccdot%5Csqrt%5B3%5D%7Bx%5E2%7D%3Dx)
Hence final answer is
.
1 cup = 8 fluid ounces.
6.875 cups = ? fluid ounces.
8*6.875=55.
Your answer would be 55 fluid ounces.