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Angelina_Jolie [31]
2 years ago
13

Ay 4 function is represented by the equation y = 2(x + 1). Complete the table and graph for the function. Does the quation repre

sent a linear function? Explain your reasoning. (2 oints) N -4 -2 2 4 -2 4 Input -2 -1 0 1 Output​
Mathematics
1 answer:
aleksklad [387]2 years ago
3 0

Use point (-3,2):

2 = 4*(-3) + b

b = 2 +12

b = 14

The equation is y = 4x + 14

Step-by-step explanation:

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A fruit company has 20% returns in periods of normal rainfall and -3% returns in droughts. The probability of normal rainfall is
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Answer:

E(x) = 10.8\% \\\\

The fruit company’s expected returns are 10.8%

Step-by-step explanation:

The expected returns of the fruit company is given by

E(x) =\sum (x \cdot P(x)) \\\\

For the given case,

Returns in normal rainfall = x₁ = 20% = 0.20

Returns in drought = x₂ = -3% = -0.03

Probability of normal rainfall = P(x₁) = 60% = 0.60

Probability of drought = P(x₂) = 40% = 0.40

So, the expected value of returns is

E(x) = x_1 \cdot P(x_1)  + x_2 \cdot P(x_2)  \\\\E(x) = 0.20 \cdot 0.60  - 0.03 \cdot 0.40  \\\\E(x) = 0.12 - 0.012 \\\\E(x) = 0.108 \\\\E(x) = 10.8\% \\\\

Therefore, the fruit company’s expected returns are 10.8%

7 0
3 years ago
Find the slope of the line that passes through the ordered pairs (3,5) and (-3,-5)
bija089 [108]

Answer:

5/3

Step-by-step explanation:

In this question, we are trying to find the slope of the line with the given points.

To find the slope, we would use the slope equation: m = y2-y1/x2-x1

Plug in the coordinates and solve:

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-10/-6

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5/3

The slope of the line would be 5/3

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A drop of 8 meters can be represented as -8
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