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kotegsom [21]
2 years ago
13

Find the equation of the line that passes through points A and

Mathematics
2 answers:
scoray [572]2 years ago
6 0

Answer:

y = 2x - 1 is the required equation

Step-by-step explanation:

slope(m) = (3-7)/(2-4)

m = -4/(-2)

so, m = 2

Now,

y = mx + b

or, y = 2x + b

so, 3 = 2*2 + b

or, 3 = 4 + b

so, b = -1

equation would be y = 2x - 1

Vlad [161]2 years ago
3 0

Answer:

Y= 2x - 1

Step-by-step explanation:

I will give you the solution for y = mx + b because it is a line.

First, find the slope.

The formula for the slope is (y2 - y1)/(x2 - x1)

I'm going to use A as y2 and x2, so it's easier because it'll give me positive numbers.

(7 - 3)/(4 - 2) = 4/2 = 2

2 is your m value.

Now you have y = 2x + b

Next, input an x and a y value to find b.

Let's take the x and y from our B value.

3 = 2(2) + b

3 = 4 + b

3 - 4 = b      (Bring the value over to the other side, change the sign)

-1 = b

So, your answer is y = 2x - 1

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Answer:

  • <u><em>Option D. 0.50</em></u>

Explanation:

1. Two-way table:

                Calories per Day:

                1000 to 1500      1500 to 2000     2000 to 2500   Total

Weight

120 lb.               90                        80                        10                180

145 lb.               35                       143                        25               203

165 lb.                15                        27                        75                 117

Total                 140                     250                       110               500

2. Total number of persons

Look at the intersection of the totals for the columns and the rows: 500

3. Number of persons that consume 1,500 to 2,000 calories in a day

Look at the total for the column 1,500 to 2,000 calories per day: 250

4. Probability that a person consumes 1,500 to 2,000 calories in a day, P

  • P = number of persons that consume 1,500 to 2,000 calories / total number of persons

  • P = 250 / 500 = 0.50 ↔ option D.
6 0
2 years ago
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