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Sloan [31]
3 years ago
12

If a/4 = 2/3, then (a - 4)/4 would equal -2/3 -1/3 0 1/3

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

-1/3

Step-by-step explanation:

Expand the expression (eliminate parentheses), then replace a/4 with its value.

(a -4)/4 = a/4 - 4/4 = 2/3 -1 = -1/3

Lubov Fominskaja [6]3 years ago
6 0

Answer:

The answer is -1/3

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Which description compares the vertical asymptote(s) of Function A and Function B correctly?
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Function A:  f(x)=\frac{1}{x}+4.  Vertical asymptotes are in the form x=, and they are a vertical line that the function approaches but never hits.  They can be easily found by looking for values of <em>x</em> that can not be graphed.  In this case, <em>x</em> cannot equal 0, as we cannot divide by 0.  Therefore <em>x</em>=0 is a vertical asymptote for this function.  The horizontal asymptote is in the form <em>y</em>=, and is a horizontal line that the function approaches but never hits.  It can be found by finding the limit of the function.  In this case, as <em>x</em> increases, 1/<em>x</em> gets closer and closer to 0.  As that part of the function gets closer to 0, the overall function gets closer to 0+4 or 4.  Thus y=4 would be the horizontal asymptote for function A.
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Solve the system by substitution. 4x=8y 2x+5y=27
MAVERICK [17]

Answer:

(6, 3)

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Alg I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

4x = 8y

2x + 5y = 27

<u>Step 2: Rewrite systems</u>

x = 2y

2x + 5y = 27

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute:                         2(2y) + 5y = 27
  2. Multiply:                             4y + 5y = 27
  3. Combine like terms:          9y = 27
  4. Isolate <em>y</em>:                            y = 3

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Plug in y into an original equation to find x.</em>

  1. Substitute:               4x = 8(3)
  2. Multiply:                   4x = 24
  3. Isolate <em>x</em>:                  x = 6
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