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lara31 [8.8K]
3 years ago
15

What is the axis of symmetry of the function f(x)=-(x+9)(x-21)

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
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4 years ago
At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.
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1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

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Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) → (x−3, y+4).
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A ( 1, 1) → A' (1-3, 1+4)      A' (-2, 5)
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