1 mi = 5280 ft
1 h = 3600 s
therefore:
Answer: 31.8 mi/h = 46.64 ft/s
15. -2
16. A. The pool was originally empty
Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.
In this case, "93 is the sum of a number g and 58" can be translated to:
93 = g + 58
To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:
93 - 58 = g + 58 - 58
93 - 58 = g
Simplifying:
g = 35
Answer:
Step-by-step explanation:
So,it would be easier to simplify the right equation, so when I say "the right equation", I mean the one I will make right now. It is 8x+9. So the first problem is 8x+9=x+?. Well, if there are no solutions, the slopes have to be the same, and the y-int doesn't matter. So the answer would be + 7x because that will make the x an 8x. If there is one solution, then the slope has to be different. So literally anything but 7x will work. Even constants. If there are infinitely many solutions, then the equations have to be the same. Meaning, you would have to add 7x and 9 to make the left equation the same as the right.
The base case is the claim that
which reduces to
which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that
We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that
By the induction hypothesis,
Now compare this to the upper bound we seek:
because
in turn because
