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Mathematics

1 answer:

Ratling [72]2 years ago

3 0

Answer:

Equation: x + (x+ 1) = 67

Step-by-step explanation:

We want to find two consecutive integers.

Let them be labeled as x and x + 1

We want x + (x + 1) = 67

x is the smaller number

x + 1 is the largest

We can solve for x.

x + (x + 1) = 2x + 1 = 67

2x = 66

x = 33

The largest integer is 34

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Find two consecutive intergers whose sum is -29

boyakko [2]

-29= x + (x + 1)
-29= 2x +1
-30= 2x
-15=x
The answer is -15, -14.

6 0

2 years ago

A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.

DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below