The solution of the given equation is -6 and 1.
<h3>What is Quadratic Equation?</h3>
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
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Answer:
20 bags
Step-by-step explanation:
gift + lunch + (skittles * count) ≤ $21
9.25 + 3.50 + 0.40x ≤ 21
12.75 + 0.40x ≤ 21
0.40x ≤ 8.25
x ≤ 20.625
<span> m + n^2
= 2 + (-2)^2
= 2 + 4
= 6
answer is 6</span>
Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set.
Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set.
So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.
Answer:
8
Step-by-step explanation:
Because 16 is the diameter and to find the radius you need to divide by 2
