No it isn't. Because the vertical line test doesn't work.
Answer:
387420489
Step-by-step explanation:
hope this helped
Plug in each value in the set into x, and evaluate both sides.
The values of x that make the inequality true are the answer.
Start with 18.
<span>2/3x + 3 < -2x -7
2/3(18) + 3 < -2(18) - 7
12 + 3 < -36 - 7
15 < -43 is false, so 18 does not work.
</span><span>Now do 6.
<span>2/3x + 3 < -2x -7
2/3(6) + 3 < -2(6) - 7
4 + 3 < -12 - 7
7 < -19 is false, so 6 does not work.
</span></span><span>Now do -3.
<span>2/3x + 3 < -2x -7
2/3(-3) + 3 < -2(-3) - 7
-2 + 3 < 6 - 7
1 < -1 is false, so -3 does not work.
</span></span><span><span>Now do -12.
<span>2/3x + 3 < -2x -7
2/3(-12) + 3 < -2(-12) - 7
-8 + 3 < 24 - 7
-5 < 17 is true, so -12 does not work.</span></span>
</span>
Answer:
The variation equation is
![f = \frac{k.m_1.m_2}{ {r}^{2} }](https://tex.z-dn.net/?f=%20f%20%3D%20%20%5Cfrac%7Bk.m_1.m_2%7D%7B%20%7Br%7D%5E%7B2%7D%20%7D%20)
step-by-step explanation:
From the question, the two masses are
![m_1 \: and \: m_2](https://tex.z-dn.net/?f=m_1%20%5C%3A%20and%20%5C%3A%20m_2)
This implies that the product of the two masses
![= m_1 \times m_2 = m_1.m_2](https://tex.z-dn.net/?f=%20%3D%20m_1%20%5Ctimes%20m_2%20%3D%20m_1.m_2)
Moreover, the force,f varies directly with the products of the two masses
![\implies \: f\propto m_1.m_2....eqn.1](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20f%5Cpropto%20m_1.m_2....eqn.1)
Also, the force varies inversely with the square of the distance,r
![\implies \: f\propto \frac{1}{ {r}^{2} }.......eqn.2](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20f%5Cpropto%20%5Cfrac%7B1%7D%7B%20%7Br%7D%5E%7B2%7D%20%7D.......eqn.2)
Joining equation 1 and 2, we got
![\implies \: f\propto \frac{1}{ {r}^{2}} \times m_1.m_2](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20f%5Cpropto%20%5Cfrac%7B1%7D%7B%20%7Br%7D%5E%7B2%7D%7D%20%5Ctimes%20m_1.m_2)
![\implies \: f \propto\frac{m_1.m_2}{ {r}^{2}}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3A%20f%20%5Cpropto%5Cfrac%7Bm_1.m_2%7D%7B%20%7Br%7D%5E%7B2%7D%7D)
But the constant of variation is k
Multiplying the right hand side of the equation by k, we got
![\implies \:f=\frac{k.m_1.m_2}{ {r}^{2}}](https://tex.z-dn.net/?f=%20%5Cimplies%20%5C%3Af%3D%5Cfrac%7Bk.m_1.m_2%7D%7B%20%7Br%7D%5E%7B2%7D%7D)