Commutative Property means you can switch the numbers and get the same answer.
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).
Answer:
entrees 48% appetizers 30% desserts 22%
Step-by-step explanation:
18+8+6=27
13/27
8/27
6/27
Answer:
a = 16
Step-by-step explanation:
6 = a/4 + 2
Switch sides.
a/4 + 2 = 6
Subtract 2 from both sides.
a/4 = 4
Multiply both sides by 4.
a = 16
X=1/27 decimal form=0.037 repeating