(-4) (?) = -12 What is the value of the (?)
2 answers:
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Answer:
x=-2.5 if the function is
Step-by-step explanation:
has discontinuities when the denominator is 0.
You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.
That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.
If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.
Let's do this now.
When is -4x-10 equal to 0?
We have to solve the equation:
-4x-10=0
Add 10 on both sides:
-4x=10
Divide both sides by -4:
x=10/-4
Reduce by dividing top and bottom by 2:
x=5/-2
x=-5/2
or
x=-2.5 (if you want decimal form)
Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.
Let's see.
8(-2.5)-3=-23
Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.
If the top were 0, then you would have had a hole at x=-2.5.
76 sodas and 34 hot dogs were sold by the vendor.
Step-by-step explanation:
Given,
Total sodas and hot dogs sold = 110
Let,
x be the number of sodas sold
y be the number of hot dogs sold
According to given statement;
x+y=110 Eqn 1
y = x-42 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting x=76 in Eqn 1
76 sodas and 34 hot dogs were sold by the vendor.
Keywords: linear equation, substitution method
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