First, the need to determine if the statements are true or false.
1) January is the first month of the year. (This statement is true)
2) December is the last month of the year. (This statement is also true)
With this in mind we can determine that what will illustrate the truth value would be:
T T -> T
In other words, since the first statement is true and the second statement is also true then conjunction of both statements would be true.
Write an inequality to describe the region is x < 0 < 3
Inequalities in three dimensions:
When an inequality representing a region in three dimensions contains only one of the three variables, then the other two variables have no restrictions. We use inequalities to describe solid regions in three dimensions.
Answers and Explanation:
The y z - plane is represented by the equation x = 0
As the region is between this plane and the vertical plane x = 3, we will get the inequality 0 < 0 < 3
Thus, the desired inequality is
0 < 0 < 3.
Learn more about inequalities at:
brainly.com/question/14408811
#SPJ4
Answer:
well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct
Answer:
Step-by-step explanation:
Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation
Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation
which is equivalent to
If we add 5 on both sides and factor out on the right by 5 we get
We can solve for x and get
Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.
If that is the case, then
x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem
