Answer:
please the answer is the third option
Probably it is c. If you have a chance ask someone else to
(2x-3)(x+5)=0 is the factored form
x=3/2, x=-5
So r=1.5 and s=-5
r-s=1.5-(-5)
r-s=6.5
Answer:
The answer is (-56)
Step-by-step explanation:
3/5(x – 19) = -15
(x – 19)/5 = -15
x – 19 = (-15)(5)
x – 19 = -75
x = 19 – 75
x = -56
Thus, The value of x is (-56)
<u>-TheUnknownScientist</u><u> 72</u>
We can apply the following properties of radicals:
![\begin{gathered} \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\Rightarrow\text{ Product property} \\ \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\Rightarrow\text{ Quotient property} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%5CRightarrow%5Ctext%7B%20Product%20property%7D%20%5C%5C%20%5Csqrt%5Bn%5D%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D%5CRightarrow%5Ctext%7B%20Quotient%20property%7D%20%5Cend%7Bgathered%7D)
Then, we have:
![\begin{gathered} \text{ Apply the product property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7}{8}\cdot\frac{7}{18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7\cdot7}{8\cdot18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{49}{144}} \\ \text{ Apply the quotient property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{\sqrt[]{49}}{\sqrt[]{144}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7B%20Apply%20the%20product%20property%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%5Ccdot%5Cfrac%7B7%7D%7B18%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B7%5Ccdot7%7D%7B8%5Ccdot18%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B49%7D%7B144%7D%7D%20%5C%5C%20%5Ctext%7B%20Apply%20the%20quotient%20property%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Cfrac%7B%5Csqrt%5B%5D%7B49%7D%7D%7B%5Csqrt%5B%5D%7B144%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Cfrac%7B7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
Therefore, the choice that is equivalent to the given product is: