Answer:
-0.5 or -2/9
Step-by-step explanation:
(-2x-1)(9x+2)
<em>o</em><em>p</em><em>e</em><em>n</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>b</em><em>r</em><em>a</em><em>c</em><em>k</em><em>e</em><em>t</em>
-18x² - 4x - 9x - 2
-18x²-13x-2
(18x²+9x)(+4x+2)
<em>f</em><em>a</em><em>c</em><em>t</em><em>o</em><em>r</em><em>i</em><em>s</em><em>e</em>
9x(2x+1) +2(2x+1)
(9x+2)(2x+1)
:<em>separate</em><em> </em><em>the</em><em> </em><em>bracket</em><em> </em><em>and</em><em> </em><em>equate</em><em> </em><em>to</em><em> </em><em>0</em>
9x+2=0
<em>collect</em><em> </em><em>like</em><em> </em><em>terms</em>
9x= -2
<em>divide</em><em> </em><em>through</em><em> </em><em>by</em><em> </em><em>9</em>
x= -2/9
or
4x = -2
<em>divide</em><em> </em><em>through</em><em> </em><em>by</em><em> </em><em>4</em>
<em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>/</em><em>4</em>
<em>:</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>0</em><em>.</em><em>5</em>
<em>answer</em><em> </em><em>=</em><em> </em><em>-</em><em>0</em><em>.</em><em>5</em><em> </em><em>or</em><em> </em><em>-</em><em>2</em><em>/</em><em>9</em>
The correct answer is: 3Explanation:
Instead of sharing the conventional tedious, method, let me share with you the simple trick here to solve these types of questions without using the calculator:
Given
![log_464](https://tex.z-dn.net/?f=log_464)
It is essentially saying that WHAT power of 4(which is the base of log) gives us the value 64. You need to find the answer to that "WHAT."
Well
![4^1 = 4 \\ 4^2 = 16 \\ 4^3 = 64](https://tex.z-dn.net/?f=4%5E1%20%3D%204%20%5C%5C%0A4%5E2%20%3D%2016%20%5C%5C%0A4%5E3%20%3D%2064)
Hence the answer is "3".
Answer:
In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.
Step-by-step explanation:
A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;
Probability (P) = ![\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Barray%7D%5Cright%5D)
After solving for probability we get a fraction of 2/5
Answer:
15
Step-by-step explanation:
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Capacity of the tank = 45 gallon
At the beginning of Oct., amount of oil in the tank = 45*0.8 = 36 gallons
At the end of Oct., amount of oil in the tank = 45*1/3 = 15 gallons
So, amount of oil used during Oct = (36-15) = 21 gallons