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3 years ago

HELP ASAP! See screenshot for question and answers:

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

2 mosquitoes would be killed on the sixth day.

Step-by-step explanation:

To model this situation of exponential decay, we use y=a(b)^x. Y would represent the mosquitoes killed after so many days of the spraying, a would be the initial amount of mosquitoes, b would be how much it decreases each time, and x is days after the spraying. To get the original amount of mosquitoes, we multiply 2400 by 4 and get 9600. I did this because I noticed that each day, you can divide the previous number by 4. Then, our b would be 1/4 because 600 is one fourth of 2400, 150 is one fourth of 600, and so on. Then, I put this into my calculator: 9600(1/4)^6. This gave me 2.34375 but you would round to 2 mosquitoes. Hope this helps :)

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3 years ago

The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it

ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: $A_{t}=\frac{b.h}{2}$ .

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

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b = 3 - (-2)

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5a = 10.2

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The constant a of the function y = a(x-3)(x+2) is 4.

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