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2 answers:
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Answer:
The largest three-digit number divisible by 24 and 54 is:
- <u>864</u>
Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
- 24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).
- 24*40= 960/54= 17.77 (this is not).
- 24*39= 936/54= 17.33 (this is not).
- 24*38= 912/54= 16.88 (this is not).
- 24*37=888/54= 16.44 (this is not).
- <u>24*36= 864/54= 16 (This is the correct</u>).
Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
Answer:
Step-by-step explanation:
{2x - 3y = 13
{x + 2y = −4
⅔[2x - 3y = 13]
{1⅓x - 2y = 8⅔
{x + 2y = −4
____________
[Plug this back into both equations above to get the y-coordinate of −3];
* This is using the Elimination Method.
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Answer:
1/4
Step-by-step explanation:
The inverse function tells you the input value that corresponds to the given output value of the function.
<h3>Application</h3>You want f^-1(3), which is the value of x such that f(x) = 3.
f(x) = 3 = 4x +2
1 = 4x . . . . . . subtract 2
1/4 = x . . . . . divide by 4
The inverse function of 3 is 1/4: