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Monica [59]
4 years ago
7

Negative one sixth of a number is less than -9

Mathematics
1 answer:
STatiana [176]4 years ago
7 0
N < 54

explanation: 
step 1: set up the problem: -1/6n<-9
step 2: multiply both sides by the reciprocal of -1/6, -6, to isolate n
step 3: -9 times -6 is positive 54

so the number is 54
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write a quadratic function in vertex form whose graph has the vertex (1,0) and passes through point (2,-17)
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Answer:

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Step-by-step explanation:

We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).

Recall that vertex form is given by:

\displaystyle f(x) = a(x-h)^2 + k

Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.

Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:

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\displaystyle (-17) = a((2)-1)^2

Solve for <em>a: </em>

<em />\displaystyle a = -17<em />

<em />

In conclusion, our quadratic function in vertex form is:

\displaystyle f(x) = -17(x-1)^2

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