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Tems11 [23]
3 years ago
9

Write an equation in slope-intercept form of the line with the given parametric equations.

Mathematics
2 answers:
Bad White [126]3 years ago
6 0

Answer:

y = (-2/3)x + 31/3

Step-by-step explanation:

Reil [10]3 years ago
6 0

Answer:

y= -2/3x+31/3

Step-by-step explanation:

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14

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Step-by-step explanation:

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There are 1500 bees in a colony. Each month, the number of bees decreases by 12%. There are 800 flowering plants in a garden. Ea
Nataly_w [17]

Answer:

n=6.77 months (exactly)

n=7 months (nearest integer, less accurate)

Step-by-step explanation:

A) The initial number of bees in a colony is 1500. Each month the number of bees decreases by 12% which means each month we must factor by (1-0.12)=0.88

So the number of bees as a function of n months is  

1500*0.88*0.88...0.88 (n times)

B=1500*0.88^n

The initial number of flowering plants is 800 and there are 25 fewer of them each month. It can be written as

P=800-25n

B) After 6 months (n=6) there will be

B=1500*0.88^6\approx 697\ bees

And there will be

P=800-25(6)=650flowering plants

C) We want to know the value of n that make B = P:

1500*0.88^n=800-25n

Rearranging

1500*0.88^n-800+25n=0

This equation cannot be solved by exact procedures, we must approach the answer or use any numerical method to solve for n

The best value to solve the equation is n = 6.77 months in which case

B=1500*0.88^{6.77}\approx 631\ bees

And P=800-25(6.77)\approx 631 flowering plants

If we wanted to use only integers for n, then we should use the nearest integer to our previous value, that is, n=7. In this case,

B=1500*0.88^7\approx 613\ bees

P=800-25(7)= 625 flowering plants

6 0
3 years ago
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