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Step2247 [10]
2 years ago
13

The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 40x + 8. What is the best p

rediction for the number of cases in year 15
Mathematics
1 answer:
Stels [109]2 years ago
5 0

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

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Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

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3 years ago
16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º
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Answer:

x = 26

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Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

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Add 28 to both sides

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Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

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Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

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3 years ago
Which equation has exactly one solution in common with the equation y=6x-2?
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