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aleksklad [387]
3 years ago
13

What is the slope of the line that passes through points (6, − 2) and (21, 3) ?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0

Answer:

m=\frac{1}{3}

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

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (6, -2)

Point (21, 3)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{3+2}{21-6}
  2. Add/Subtract:               m=\frac{5}{15}
  3. Simplify:                        m=\frac{1}{3}
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Answer:

7


Step-by-step explanation:

3*8=24 and so 3*7 would =21 and 21+24=45

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In a shop for every pant there are 3 shirts and for every 9 shirts there are 27 pairs of shoes. Express the ratio of pants to sh
gavmur [86]

Answer:

1 : 3 : 9

Step-by-step explanation:

For every Pant = 3 shirts

If

Pant = x ; shirt = 3x

For :

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1 Pant = 3 shirts = 9 pairs of shoes

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3 years ago
The function ​f(x) models the average cost per​ unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How man
andrey2020 [161]

Complete question is;

The function ​f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

​f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

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3 years ago
How many distinct set of three positive integers have a mean of 6, a medium of 7 no mode ?​
Natasha_Volkova [10]

Answer:

3 sets.

1 7 10

2 7 9

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The sum must be 18 ( 3*6)  and 7  is the middle number ( the median).

So the first and last numbers must add up to 11  with the first number less than 7.  As there is no mode no number can be repeated.

So one set is 3 7 8    (the first number can't be 4 as the last number would have to be 7)

Others are 2 7 9,

1 7 10.

8 0
3 years ago
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