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3 years ago

1. What is -2y + 10 + 2y - 8 simplified?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

Answer:

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

-2y + 10 + 2y - 8

Step 2: Simplify

Combine like terms (y): 10 - 8
Combine like terms (constants); 2

Gennadij [26K]3 years ago

5 0

Answer:

Step-by-step explanation:

-2y + 10 + 2y - 8 = 20 - 8 = 2

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The graph below shows the total costy (in dollars) of owning and operating a compact car

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The relationship between the cost and the miles driven, as presented on the graph is an illustration of a linear equation or a linear graph.

The growth rate per year is $0.36 per year
The cost of owning and operating the car is $7201.44

A. The growth per year

This simply means that we calculate the slope (m) of the graph.

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, we have:

$(x_1,y_1) = (5000, 1800)$

$(x_2,y_2) = (20000, 7200)$

So, we have:

$m = \frac{7200 - 1800}{20000 - 5000}$

$m = \frac{5400}{15000}$

$m = 0.36$

Hence, the growth per year is: $0.36 per year

B. The cost, when the number of miles is 20004 miles

The equation of a straight line is:

$y = mx + b$

Where:

$m = 0.36$ --- the slope

$b = 0$ --- the point where the graph crosses the y-axis.

So, we have:

$y = 0.36x + 0$

$y = 0.36x$

The cost when the miles driven is 20004, is:

$y = 0.36 \times 20004$

$y = 7201.44$

The cost of owning and operating the car is $7201.44