Answer:
x = 
Step-by-step explanation:
We have the equation: 3 + 
= 
Move the constant (in this case the constant is 3) to the right side of the equation, changing its sign
= - 3
Calculate the difference.
= 
Divide.
(when dividing two fractions, you can change it to a multiplication problem by switching the numerator and denominator of the divisor.)
So, we get the equation x 
which is .
I hope this helps!
So you correctly wrote that the slope is represented by
Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).
Now, to find the change in y and x, we need to take two points,
and
. We can then find the slope, m, as below:
So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!
1) let's take x = -1, y = -5 and x = 0, y = 3. We can write
and
(we can choose either point to be
so long as we're consistent.
This is a positive (+) change.
2)
Negative (–).
3)
Positive (+).
4)
Positive (+).
5)
Negative (–).
Answer:
1/3m+L>8 (TAKE 1/3M to the other side of the inequality)
L is greater than or equal to 8 - 1/3m
Step-by-step explanation:
The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.
Hope this helps and have a nice day!
