Answer:
x = 2/5
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Write equation</u>
5x = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 5: x = 2/5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution</em>.
- Substitute: 5(2/5) = 2
- Multiply: 10/5 = 2
- Divide: 2 = 2
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
116
Step-by-step explanation:
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Answer:
240 cubic centimetres
Step-by-step explanation:
volume of the right rectangular prism
