All you need to do is pull out the common factor of 
:
Show work step-by-step:
1 answer:
Answer: (a) 8 (b) 12
Step-by-step explanation:
Given : The number of different kinds of soups = 6
The number of different kinds of salad = 2
(a) If you are having either soup or salad, then the total number of choices you have :-
Hence, the total number of choices you have = 8
(b) If you are having both soup and salad, then the number of choices you have :-
Hence, the total number of choices you have = 12
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The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
#SPJ1
