This question is incomplete, the complete question is;
Nine pieces of 8-in. × 12-in. duct that is 2
ft in length is needed for a building. What is the total length (in ft) needed?
Answer:
the total length needed is 24 ft
Step-by-step explanation:
Given the data in the question;
the length of one piece of 8-in. × 12-in. duct is 2
ft
Now to find the total length for nine pieces of the duct;
we simple multiply 2
ft by nine
so
Total length = 9 × 2
we convert the mixed fraction to improper fraction
2
= 8/3
so
Total length = 9 × (8/3) ft
Total length = 24 ft
Therefore, the total length needed is 24 ft
f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have

we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have

so

substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
-12.3f= -73.8
F multiplied by -12.3, you just put both thing down together and the equal sign and -73.8 the multiplication sign isn’t really necessary.
Simple,
so you have...
-5m=-35
You are trying to find m, so, to
isolate the variable divide both sides by -5:

m=7
Now, to check your work, plug in m.
-5(7)=-35
-35=-35
Thus, you know your answer is correct.