Both of the statements are Theorems. Postulates are assumed to be true so they are really obvious things like a line has at least two points.
Hello!
The range of a function is all the y values it spans.
In this case, we are presented an equation y = -|x|. We can figure out the range from this information. For now, let's look at the parts individually.
The | | indicates absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3, as -3 is 3 away from 0. From only absolute value, the range would be y is greater than or equal to 0, as all numbers are a positive number away from 0.
Now, add the negative symbol. This means that the always positive result of the absolute value would become always negative. This, therefore, gives us our final solution - y is less than or equal to 0.
Therefore, your answer is the second choice, or y ≤ 0.
Hope this helps!
Answer:
Total number of points in the test = 100
Total number of items in the test = 40
Let number of items of 2 points be x and number of items of 3 points be y.
Now, using the given information the situation can be represented by using the following equations :
⇒ x + y = 40 .........(1)
⇒ 2x + 3y = 100 .........(2)
The matrix equation is :
By solving the equation (1) and equation (2), we get :
Solution : x = 20 and y = 20
It's a factor. This concept is widely used throughout algebra, and you'll probably bump into it through the end of high school and beyond.
A common use is expressing a term in <em>prime factorization</em>, or reducing a number to its most base parts- primes. For example:
Of course, a number like 13 which is already prime is made up of itself and 1. <em>Factors do not have to be primes.</em> 20 is also reducible through combinations of 1, 2, 4, 5, 10, and 20. Prime factorization is just a handy example.
Basically, factors multiply with each other to create other numbers, and numbers can be reduced down to their factors.
Answer:
see explanation
Step-by-step explanation:
1
x - 4 = 20 ( multiply through by 3 to clear the fraction )
2x - 12 = 60 ( add 12 to both sides )
2x = 72 ( divide both sides by 2 )
x = 36
2
4 = ( multiply both sides by 2 to clear the fraction )
8 = - 1 + x ( add 1 to both sides )
9 = x
3
12(x + 9) = - 108 ( divide both sides by 12 )
x + 9 = - 9 ( subtract 9 from both sides )
x = - 18
4
5x + 14 = - 7 ( subtract 14 from both sides )
5x = - 21 ( divide both sides by 5 )
x = - = - 4.2