Answer:
x<3
Step-by-step explanation:
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
x
+
3
<
6
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
x
<
3
The result can be shown in multiple forms.
Inequality Form:
x
<
3
Interval Notation:
(
−
∞
,
3
)
\left[x \right] = \left[ -1+\frac{\left( -7\right) \,y}{4}\right][x]=[−1+4(−7)y] totally answer
0= -3x+9
-9=-3x
3=x
Final answer: x=3
There is only one zero because it is linear, and can therefore only cross the x axis once.
Answer:
The domain is all real numbers, and the range is all real numbers f(x) such that f(x) ≤ 4. You can check that the vertex is indeed at (1, 4). Since a quadratic function has two mirror image halves, the line of reflection has to be in the middle of two points with the same y value.
Factor the following:
2 x^3 + x^2 - 18 x - 9
Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)
Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)
x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)
Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):
Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
