Answer:
(1/2, 3/2)
Step-by-step explanation:
solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.
Answer:
7/1296
Step-by-step explanation:
Multiply the two probabilities.
7/36 x 1/36 = 7/1296
Answer:
54/249 or
0.2168674
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
-4 = 12 - 2x
when plus 12 goes to the left hand side it changes its sign so,
-4 -12 = -2x
- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -
-16=-2x
when -2 comes to the left hand side it changes its from multiplication to division.So,
-16/-2=x
8=x
we will get positive 8 because minus and minus also gets cancel.
Value of x = 7.499
Step-by-step explanation:
We need to find value of x in the equation: 
This can be solved using natural log
Solving:
Subtract 7 from both sides:
Simplifying:
Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))
So,
Applying log rule: logₐ(x^b)= b logₐ(x)
Divide both sides by 2ln(2)
![2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499](https://tex.z-dn.net/?f=2x%28ln%282%29%29%3D%5Btex%5D%5Cfrac%7B2x%28ln%282%29%29%7D%7B2%28ln%282%29%29%7D%3D%5Cfrac%7Bln%2832761%29%7D%7B2%28ln%282%29%29%7D%20%5C%5Cx%3D%5Cfrac%7Bln%2832761%29%7D%7B2%28ln%282%29%29%7D%5C%5CRewriting%5C%2C%5C%2C32761%5C%2C%5C%2Cas%20181%5E2%5C%5Cx%3D%5Cfrac%7Bln%28181%5E2%29%7D%7B2%28ln%282%29%29%7D%5C%5Cx%3D%5Cfrac%7B2ln%28181%29%7D%7B2%28ln%282%29%29%7D%5C%5Cx%3D%5Cfrac%7Bln%28181%29%7D%7Bln%282%29%7D%5C%5Cx%3D7.499)
So, Value of x = 7.499
Keywords: Solving Equations
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