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Firlakuza [10]
2 years ago
12

ing Combination Notation & Problem Solving" alt="Evaluating Combination Notation & Problem Solving" align="absmiddle" class="latex-formula">
Evaluate the following combinations. Write also your solutions.​

Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

Step-by-step explanation:

1. ⁷C₅ = ⁷C₂ = 7 x 6 / 2 = 21

2. ⁹C₈ = ⁹C₁ = 9

3. ¹²C₅ = 12 x 11 x 10 x 9 x 8 / 2 x 3 x 4 x 5

= 11 x 9 x 8 = 11 x 72 = 792

4. ²⁰C₁₇ = ²⁰C₃ = 20 x 19 x 18 / 2 x 3

= 19 x 3 = 57

5. ¹⁶C₁₃ = ¹⁶C₃ = 16 x 15 x 14 / 2 x 3

= 8 x 5 x 14 = 40 x 14 = 560

6. ⁷C₄ + ¹¹C₉ = ⁷C₃ + ¹¹C₂ = (7 x 6 x 5 / 2 x 3) + (11 x 10 / 2)

= 35 + 55 = 90

7. ⁷C₃ + ⁷C₄ + ⁷C₅ = 2(⁷C₃) + ⁷C₂ = (2 x 7 x 6 x 5 / 2 x 3) + (7 x 6 / 2)

= 70 + 21 = 91

Legit only this much I can do now.

Hope it is enough.

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dmitriy555 [2]

Answer:

A) slope = 20.

B)  The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)

Step-by-step explanation:

Recall that slope is y2 - y1 / x2 - x1.

Excellent. We are provided with two points: (1, 60) and (3, 100). Let’s enter this into our formula.

Slope = (100 - 60) / (3 - 1) = 40 / 2 = 20.

Now, to determine what the slope means, we can look at the axis titles on the graph. The x axis title is hours, or time in hours. The y axis title is price of the service call in dollars. Therefore, the slope is price (in dollars) per time (in hours).

This can be restated as: The slope of 20 dollars per hour means that for every hour, the price of the service call increases by 20 dollars (or you could say the price of the service call is 20 dollars every hour, both work.)

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