80/100 = 0.80
x = 0.80
0.80x = 20
<span>x = 20/0.80 </span>
<span>x = 25
Hope this helps you!!! =')</span>
Answer
The graph of the function f(x) = -(x - 3)² - 2, is presented below
Explanation
We are told to graph a given function
f(x) = -(x - 3)² - 2
The first step into making this easy is to open the bracket.
f(x) = - (x² - 6x + 9) - 2
f(x) = -x² + 6x - 9 - 2
f(x) = -x² + 6x - 11
The next step is then to insert different values of x into the function and obtain the corresponding value of the function. This set of ordered pairs arethen plotted to form the graph.
The graph is then plotted and presented under 'Answers' above.
Hope this Helps!!!
Answer:
Part a) 2.36 quarts
Part b) 47.2%
Step-by-step explanation:
Let
x ---> percentage of the resulting mixture that is antifreeze
Remember that
![22\%=22/100=0.22](https://tex.z-dn.net/?f=22%5C%25%3D22%2F100%3D0.22)
![85\%=85/100=0.85](https://tex.z-dn.net/?f=85%5C%25%3D85%2F100%3D0.85)
we know that
3 quarts of a solution multiplied by 0.22 (percentage in decimal form) plus 2 quarts of a solution multiplied by 0.85 (percentage in decimal form), must be equal to 5 quarts of a solution multiplied by x (percentage of the resulting mixture)
so
The linear equation that represent this situation is
![3(0.22)+2(0.85)=(3+2)x](https://tex.z-dn.net/?f=3%280.22%29%2B2%280.85%29%3D%283%2B2%29x)
solve for x
![0.66+1.7=5x\\5x=2.36\\x=0.472](https://tex.z-dn.net/?f=0.66%2B1.7%3D5x%5C%5C5x%3D2.36%5C%5Cx%3D0.472)
Convert to percentage
![0.472*100=47.2\%](https://tex.z-dn.net/?f=0.472%2A100%3D47.2%5C%25)
therefore
The percentage of the resulting mixture that is antifreeze is 47.2%
To find out how many quarts of antifreeze are in the resulting mixture, multiply the total quarts of the resulting mixture by the percentage in decimal form
![5(0.472)=2.36\ quarts](https://tex.z-dn.net/?f=5%280.472%29%3D2.36%5C%20quarts)
Geometric mean= √ ( 1/2 X 2/5 )
= 1/√5
Answer:
107 adults 16 children
Step-by-step explanation:
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