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lesya [120]
3 years ago
8

Enter the slope-intercept equation of the line that has slope 12 and y-intercept (0,3).

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

y=12x+3

Step-by-step explanation:

The slope-intercept form is y=mx+b. In the equation for slope-intercept form m=slope and b=y-intercept. You have the slope and y-intercept so all you have to do is put them in the right places. Since the slope is 12 your put the 12 where the m is and get y=12x+b. Then since you know the y-intercept is (0,3)=3 then you just need to put the 3 where the b is to get y=12x+3.

Hope this helps!!!

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If you draw a line, it will not go through the origin and there isn't a constant rate of change.

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A recursive rule for an arithmetic sequence is a1=4;an=an−1+3 . What is an explicit rule for this sequence? Enter your answer in
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an=3n+1

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Choose the correct discriminant, then
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3

Step-by-step explanation:

Order of Operations; PEMDAS  

Parentheses  

Exponents  

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7 0
3 years ago
60000/23/35767755x100000 whats the answer?
AlekseyPX

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6 0
3 years ago
Suppose a population grows according to the logistic equation but is subject to a constant total harvest rate of H. If N(t) is t
Elenna [48]

Answer:

a) Equilibrium point : [ 947, 53 ]

b) N = 947 is stable equilibrium, N = 53  is unstable equilibrium

c) N0, the population will not go extinct

Step-by-step explanation:

a)

Given that;

r = 2, k = 1000, H = 100

dN/dT = R(1 - N/k)N - H

so we substitute

dN/dt = 2( 1 - N/1000)N - 100

now for equilibrium solution, dN/dt = 0

so

2( 1 - N/1000)N - 100 = 0

((1000 - N)/1000)N = 50

N^2 - 1000N + 50000 = 0

N = 1000 ± √(-1000)² - 4(1)(50000)) / 2(1)

N = 947.213 OR 52.786

approximately

N = 947 OR 53

Therefore Equilibrium point : [ 947, 53 ]

b)

g(N) = 2( 1 - N/1000)N - 100

= 2N - N²/500 - 100

g'(N) = 2 - N/250

SO AT 947

g'(N) = g'(947) =  2 - 947/250 = -1.788 which is less than (<) 0

so N = 947 is stable equilibrium

now AT 53

g'(N) = g"(53) = 2 - 53/250 = 1.788 which is greater than (>) 0

so N = 53  is unstable equilibrium

The capacity k=1000

If the population is less than 53 then the population will become extinct but since the capacity is equal to 1000 then the population will not go extinct.

6 0
3 years ago
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