Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
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Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
Answer: v < -5 or v < 40
Explanation:
v + 8 < 3
v < 3 - 8
v < -5
OR:
v - 80 < -40
v < -40 + 80
v < 40
The associative property says that if we're adding a bunch of numbers together, the parentheses do not affect the order in which we add. that means:
a + (b + c) is the same as (a + b) + c
therefore:
h + (y + 4.1) = (h + y) + 4.1
this is illustrating that property, specifically in regards to addition. so the answer is the associative property of addition.
the commutative property, on the other hand, states that order itself doesn't affect the answer when we're adding a bunch of numbers together. this means that:
a + b + c = c + b + a = a + c + b and so on and so forth.
so when we have the following equation:
t * 1.5 = 1.5 * t
this is demonstrating the commutative property of multiplication.
s * p = p * s
guess what! this is really the same question as before. all we're doing is flipping the two numbers(variables) around, showing that order does not matter. thus, the answer is yet again the commutative property of multiplication.
(0 + z) + 8 = (z + 0) + 8
this one might look like the associative property, but the associative property involves moving the parentheses around or getting rid of them altogether to show that the parentheses don't matter to the final answer. In this one, all that is happening is the 0 and z are being flipped inside the parentheses, illustrating the commutative property of addition.
