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Hoochie [10]
1 year ago
13

The equation y=1/2xrepresents a proportional relationship. What is the Constant of proportionality? A:x. B:1/2 C:2 D:0

Mathematics
1 answer:
Ad libitum [116K]1 year ago
8 0
\begin{gathered} y=\frac{1}{2}x \\ So\text{, the constant rate is }\frac{1}{2} \end{gathered}

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In a class of 21 students, there are 3 boys for every 4 girls. How many girls in all are in the
Eduardwww [97]

Answer:

12

Step-by-step explanation:

7 0
3 years ago
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Type the correct answer in each box use numerals instead of words if nessasary us /for fractions subtract write your amswer in s
exis [7]

The simplest form of the given expression 3\frac{11}{12} - 1\frac{4}{12} is \frac{31}{12}

<u>Solution:</u>

Given, expression is 3 11/12 – 1 4/12 \rightarrow 3 \frac{11}{12}-1 \frac{4}{12}

We have to find the simplest form of the value derived from the given expression.

Now, first let us solve the given equation.

3 \frac{11}{12}-1 \frac{4}{12}

converting mixed fractions to improper fractions.

=\frac{3 \times 12+11}{12}-\frac{1 \times 12+4}{12}

\frac{36+11}{12}-\frac{12+4}{12}=\frac{47}{12}-\frac{16}{12}=\frac{47-16}{12}=\frac{31}{12}

As there are no common terms to cancel it is in lowest form.

Hence, the lowest form of the given expression is \frac{31}{12}

3 0
3 years ago
Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?
Mekhanik [1.2K]
The answer is B.

Explanation:

If c is a positive real number, then the graph of
f(x – c) is the graph of y = f(x) shifted to the right
c units.
Horizontal Shifts
If c is a positive real
number, then the
graph of f(x + c) is
the graph of y = f(x)
shifted to the left
8 0
3 years ago
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Please help me please I don’t understand and my teacher said I got it wrong for numbers 1 2 and 3
kirza4 [7]

Answer:

1) 5/9

2) 4/7

3) 3/8

Step-by-step explanation:

1) 5/9

2) 4/7

3)3/8

3 0
3 years ago
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Y = 4x – 18<br> y = -5x +9
adelina 88 [10]

Answer:

(3, -6)

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
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

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

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
  2. Multiply:                                                                                                             y = 12 - 18
  3. Subtract:                                                                                                            y = -6
5 0
2 years ago
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