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earnstyle [38]
2 years ago
13

Which of the following represents the graph of the function f(x)=log3X+2

Mathematics
1 answer:
mamaluj [8]2 years ago
8 0

Answer:

Attached

Step-by-step explanation:

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X + Y = 180 so X = 122. W = X = 122. Z = Y = 58
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.. (12 m)*(8 m) = 96 m^2

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.. (3 m)*(4 m) = 12 m^2

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.. 96 m^2 +12 m^2 = 108 m^2
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Read 2 more answers
X-5y= -40<br> 18x - 5y = 45<br> What is the answer to this
baherus [9]

Answer:

(5, 9)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

x - 5y = -40

18x - 5y = 45

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

18x - 5y = 45

  1. Multiply both sides by -1:                     -18x + 5y = -45

<u>Step 3: Redefine Systems</u>

x - 5y = -40

-18x + 5y = -45

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

<em>Elimination</em>

  1. Combine equations:                    -17x = -85
  2. Divide -17 on both sides:             x = 5

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    x - 5y = -40
  2. Substitute in <em>x</em>:                       5 - 5y = -40
  3. Isolate <em>y</em> term:                        -5y = -45
  4. Isolate <em>y</em>:                                 y = 9
4 0
2 years ago
Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
3 years ago
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