Answer:
f(2) = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2/3x - 1
x = 2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(2) = 2/3(2) - 1
- Multiply: f(2) = 4/3 - 1
- Subtract: f(2) = 1/3
Answer:
Step-by-step explanation:
f= 7x+16 over x
X ≥ 0
y ≥ 0
f(x, y) = 3x + 7y
f(0, 0) = 3(0) + 7(0)
f(0, 0) = 0 + 0
f(0, 0) = 0
3x + 2y ≤ 18 ⇒ 3x + 2y = 18 ⇒ 21x + 14y = 126
6x + 7y ≤ 42 ⇒ 6x + 7y = 42 ⇒ <u>12x + 14y = 84</u>
<u>9x</u> = <u>42</u>
9 9
x = 4²/₃
3x + 2y = 18
3(4²/₃) + 2y = 18
14 + 2y = 18
<u>- 14 - 14</u>
<u>2y</u> = <u>4</u>
2 2
y = 2
(x, y) = (4²/₃, 2)
f(x, y) = 3x + 7y
f(4²/₃, 2) = 3(4²/₃) + 7(2)
f(4²/₃, 2) = 14 + 9
f(4²/₃, 2) = 23
Answer:
z ≈ 1.48
Step-by-step explanation:
A suitable calculator requires only the "work" of data entry. For a TI-83, you can find the result from ...
invNorm(.06945,0,1,RIGHT-tail) = 1.479899759
The z-value is about 1.48.
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<em>Additional comment</em>
My iOS TI-83/84 "work-alike" app reportedly gives more accurate results than an actual TI-83 calculator. YMMV
