<h3>Answer:</h3>
The two numbers are 17 and 9.
<h3>Explanation:</h3>
<em>System of Equations</em>
Let x and y represent the first and second numbers, respectively.
... x - y = 8 . . . . . . . . . the difference of the two numbers is 8
... x = 2y - 1 . . . . . . . . .the first number is one less than twice the second
<em>Solution</em>
The second equation gives an expression for x that can be substituted into the first equation.
... (2y -1) -y = 8
... y -1 = 8 . . . . . . . collect terms
... y = 9 . . . . . . . . . add 1
... x = 2·9 -1 = 18 -1
... x = 17
The first number is 17; the second number is 9.
Answer:
a) A = {-3, -2, -1}
b) n(A) = 3
c) A is finite
Step-by-step explanation:
a) The elements of A are the integers between -4 and 0, not including those values. Those integers are -3, -2, -1, so those are the elements of set A.
A = {-3, -2, -1}
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b) n(A) is the number of elements in set A. Obviously, there are 3:
n(A) = 3
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c) Since n(A) is not "infinity", the set A is finite.
4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
B- No; because the product of two irrationals can also be rational
Answer:
When Jamal Crawford comes to the free throw line, in the 2012-2013 NBA season, he would make 871 free throws out of 1000. Therefore, his percentage of making a free throw would by %87.1
