Answer:
1) f
4 * ¼ = 1 (Multiplicative inverse property)
2) c
6 * 1 = 6 (Identity property of multiplication)
3) h
5 + 7 = 7 + 5 (Commutative property of addition)
4) j
If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)
5) a
4(x - 3) = 4x - 12 (Distributive property)
6) i
3(5) = 5(3) (Commutative property of multiplication)
7) k
Rules that allow us to take short cuts when solving algebraic problems.(Properties)
8) d
5 * (3 * 2) = (5 * 3) * 2 (Associative property of multiplication)
9) g
4 + (-4) = 0 (Additive inverse property)
10) e
2 + 0 = 2 (Identity property of addition)
11) b
A + (B + C) = (A + B) + C (Associative property of addition)
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points

step 1
Find the slope with the first and second point


step 2
Find the slope with the first and third point


Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
_____
There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
Your answer is the matrix with the top row of -8 20 0 and bottom row of
4 32 -4