Xian and his cousin Kai both collect stamps. Xian has 56 stamps, and Kai has 80 stamps. The boys recently joined different stamp
collecting clubs. Xians club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. After how many months will Xian and Kai have the same number of stamps? How many stamps will they each have?
1 answer:
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Answer:
Fourth option.
Sixth option.
Step-by-step explanation:
We know that:
- Any number you can find on the number line, is a Real number.
- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.
- A Rational number is that number that can be written in the following form:
Where "a" and "b" are integers ().
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{} or to the set of nonnegative integers {
}, Every Natural number is a Rational number.
Based on this, since is in the form
where
and
, it is a Rational Number and therefore a Real number.
The letter a represents the coefficient of
The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.
If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.
So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.
The a also controls whether the graph is concave up or concave down. If a is negative
If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.
So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)