the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.
Hope this helps!
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
Answer:
B
Step-by-step explanation:
First create the equation that has slope of -1 in the form of y=mx+b. Because the slope is -1, m=-1, so the equation is y=-x+b. Now we see that we are given the point (-3, 8) as an intersection point. Substitute x and y for -3 and 8 in our equation. With this information, our equation becomes 8=3+b. Solving, b=5. Our equation is now y=-x+5.
Simplifying all of the answer choices, we have
A. y=-x-5
B. y=-x+5
C. y=-x-5
D. and E. as what they already show
The only answer that matches is B.
Answer:
9
Step-by-step explanation:
The table is given below
We can see that the table represents a linear function since by checking its slope.
Using:
- Points (-2,15) and (1,6)
- Points (1,6) and (2,3)
Therefore, the values represent a linear function.
A linear equation is of the form y=mx+b
Therefore:
y=-3x+b
Using the points (7,-12)
Therefore, the y-intercept of the function, represented by the table of values is 9.
Answer:
-- Proved
Step-by-step explanation:
Given
Required
Show that
The volume is calculated as:
Open the brackets
Collect Like Terms
Divide through by 4
Solving further:
Expand the expression
Factorize:
Split:
