The absolute value of -12 is positive 12 because absolute bars turn all negatives into a positive
X + 3x + 4x = 56
8x = 56
x = 7
The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches
Check
7 + 21 + 28 = 56 It does check and the lengths are correct.
The y intercept is (0,-6) and the x intercept is (-8,0)
Step-by-step explanation:
the domain is the interval or set of all valid x-values for the function.
and the range is the interval or set of all valid y-values (functional result values) for the function.
so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.
now, what result values (y-values) are possible ?
we see, that the smallest functional value is y = -2.
and from there all y-values up to +infinity are possible.
so, the range is [-2, +infinity).
please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.
and infinity is not a value. hence they are not included in such intervals.
Answer: x/3 ==> C
Step-by-step explanation:
(2x/3)^1/2 * (x/6)^1/2=
(2x/3 * x/6)^1/2=
(2x^2/18)^1/2=
(2x^2)^1/2 / 18^1/2=
(2x^2)^1/2 / (2*9)^1/2=
(2x^2)^1/2 / 3*2^1/2=
2^1/2 * (2x^2)^1/2 / 3*2=
(2(2x^2))^1/2 / 6=
(4x^2)^1/2 / 6=
4^1/2 * (x^2)^1/2 / 6=
2x/6=x/3 ==> C