AT this day camp, the greatest number of campers each group can have is 14 campers.
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
Answer:
Nolan correctly identified the square numbers before and after 18.
The square roots of them are 4 and 5.
Clearly, square root of 18 should lie between 4 and 5 only.
He, then carefully squared 4.1, 4.2, 4.3 etc. and identified that 4.3 squared is nearer to 18.
Since, Nolan is finding estimated square root, his steps are cool and he didn't make any error.
Distribute 5/7 through the parentheses and add like terms after.
Answer: 11/7x + 11/35y
Answer:
There are a total of
functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words