9514 1404 393
Answer:
x - 4
Step-by-step explanation:
The expression simplifies to ...

For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...
x - 4 . . . . for x ≥ 4
Answer:
y = 12
Step-by-step explanation:
Complementary angles sum to 90 , so
3y - 1 + 4y + 7 = 90
7y + 6 = 90 ( subtract 6 from both sides )
7y = 84 ( divide both sides by 7 )
y = 12
M can be any positive real number.
Explanation:
From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve
From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.
Given we concluded that the range of f(x) can only be 0 or positive, then me can only be 0 or positive.
Answer:

Step-by-step explanation:
The formula of an area of a rectangle:

<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
We have

Substitute:

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>
<em></em>
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combine like terms
