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elena-14-01-66 [18.8K]
3 years ago
6

Use the graph to find the unit rate

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
4 0
<h3>Answer:</h3>

2.4 potatoes/pound

<h3>Explanation:</h3>

The unit rate is the slope of the line. The slope of the line is ...

... (change in y-value)/(change in x-value)

... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)

... = (24 potatoes)/(10 pounds)

... = 2.4 potatoes/pound

_____

The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:

... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound

gogolik [260]3 years ago
4 0

Answer: 2.4

Step-by-step explanation:

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3 years ago
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REY [17]
The answer is: x = 7 - √53      or      x = 7 + √53

The general quadratic equation is: ax² + bx + c  = 0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0

1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53

Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
4 0
3 years ago
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