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solniwko [45]
3 years ago
5

Factor completely and find the roots of the following. X^2+12x+27=0

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

x = - 9, x = - 3

Step-by-step explanation:

Given

x² + 12x + 27 = 0

To factorise the quadratic

Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (+ 12)

The factors are + 9 and + 3, since

9 × 3 = 27 and 9 + 3 = 12, hence

(x + 9)(x + 3) = 0

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x + 3 = 0 ⇒ x = - 3

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Answer:

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Step-by-step explanation:

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Alternately,

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8 0
3 years ago
Determine which function has the greatest rate of change as x approaches infinity.
Mekhanik [1.2K]

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Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

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Then we have:

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3 years ago
If a system of linear equations has no solution, then
Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

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I need an answer...............................
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Step-by-step explanation:

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A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?
777dan777 [17]
\boxed{y=120+0.12x}\\
\\
y=162\\
\\
120+0.12x=162\\
\\
0.12x=162-120\\
\\
0.12x=42\\
\\
x=\frac{42}{0.12}\\
\\
\boxed{\boxed{x=350 \ miles}}
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