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Answer:
x = 5
Step-by-step explanation:
The area (A) o a rectangle is calculated as
A = lb ( l is length and b the breadth ), thus
x² + x - 12 × = 126 ← factor the quadratic
(x + 4)(x - 3) × = 126 ← cancel the common factor (x - 3)
(x + 4)(x + 9) = 126 ← expand factors using FOIL
x² + 13x + 36 = 126 ( subtract 126 from both sides )
x² + 13x - 90 = 0 ← in standard form
(x + 18)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 18 = 0 ⇒ x = - 18
x - 5 = 0 ⇒ x = 5
However x > 0 ⇒ x = 5
Answer: Option A
Step-by-step explanation:
A relation between two variables x and y is considered a function if and only if, for each input value x there is only one output value y.
If for an input value there are two output values
and
then the relation is not a function.
Therefore, to answer this question, identify the table in which each value of x has only one value of y.
You may notice that the option that meets this requirement is option A
Note that in option B, there are two output values 17 and 16 for x = -4.
So this relationship is not a function.
In option C there are 2 output values for x = -5
In option D there are 2 output values for x = -11