Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Triangle BCD and triangle EFG are similar right triangles
Side corresponds to side BD is EG
Answer
EG
One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x. If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.
You could also do this algebraically: write the inequality
x^2+6x+18 > 2 -1/x. This can be rewritten as x^2+6x+18-2+1/x > 0, or
x^2+6x+16+1/x > 0
Try x=-3. Then 9-18+16-1/3 = 6 2/3, which is greater than 0.
Or you could graph x^2+6x+16+1/x by hand or on a calculator. Is the graph always above the x-axis? If so, <span>x²+6x+18 is always greater than 2-1/x.
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Answer:
(E) 450
Step-by-step explanation:
Let x represent the number of gallons of solution X that must be added to the mix. Then the amount of sugar in the mix is ...
0.20x +0.40·150 = 0.25(150 +x)
0.20x +60 = 37.5 +0.25x . . . eliminate parentheses
22.5 + 0.20x = 0.25x . . . . . . subtract 37.5
22.5 = 0.05x . . . . . . . . . . . . . subtract 0.20x
450 = x . . . . . . . . . . . . . . . . . . multiply by 20
450 gallons of solution X must be added to make a 25% sugar solution.
Answer:
7 1/5
Step-by-step explanation:
1 4/5 + 5 2/5
6 + 6/5
7 1/5