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3 years ago

12

Find the x- and y- intercepts of the line with the equation 3x+4y=-12

1 answer:

masya89 [10]3 years ago

8 0

3x + 4y = -12

X - Intercept: 3x + 4y = -12
      3x + 4(0) = -12
           3x + 0 = -12
   3x = -12
      3    3
   x = -4
   (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
   3(0) + 4y = 12
   0 + 4y = 12
   4y = 12
      4 4
   y = 3
   (x, y) = (0, 3)

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Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th

trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

t = 20: 999 fishes

t = 30: 1168 fishes

(c)

$P(\infty) = 1200$

Step-by-step explanation:

Given

$P(t) =\frac{d}{1+ke^-{ct}}$

$d = 1200\\k = 11\\c=0.2$

Solving (a): Fishes at t = 0

This gives:

$P(0) =\frac{1200}{1+11*e^-{0.2*0}}$

$P(0) =\frac{1200}{1+11*e^-{0}}$

$P(0) =\frac{1200}{1+11*1}$

$P(0) =\frac{1200}{1+11}$

$P(0) =\frac{1200}{12}$

$P(0) = 100$

Solving (a): Fishes at t = 10, 20, 30

$t = 10$

$P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483$

$t = 20$

$P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999$

$t = 30$

$P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168$

Solving (c): $\lim_{t \to \infty} P(t)$

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of $e^{-ct}$ decreases

This implies that:

${t \to \infty} = {e^{-ct} \to 0}$

So:

The value of P(t) for large values is:

$P(\infty) = \frac{1200}{1 + 11 * 0}$

$P(\infty) = \frac{1200}{1 + 0}$

$P(\infty) = \frac{1200}{1}$

$P(\infty) = 1200$

5 0

2 years ago

Gala2k [10]

Answer:

A 9y= 71+117 is the equation

5 0

2 years ago

HELPP!!! I'm supposed to determine if this was answered correct or wrong. What is it? Also please explain it.

Ann [662]

Answer:

It was answered correctly.

Step-by-step explanation:

Parenthesis means mutiplication so you can do iy rhat way or 4(c)^2=4×c^2.

4 0

2 years ago

What is the quotient?

yuradex [85]

Answer:

-1.58208955224

Step-by-step explanation:

DO THE MATH

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2 years ago

Please solve this problem.

just olya [345]

x=number of oranges.

y=number of bananas.

$5

we can suggest this system of equations:

x+y=12

0.5x+0.25y=5

We can solve this system of equations by substitution method.

x=12-y

0.5(12-y)+0.25y=5

6-0.5y+0.25y=5

-0.25y=5-6

-0.25y=-1

y=-1 /- 0.25=4

x=12-y

x=12-4=8

Answer:

<em>Tanya bought 8 oranges and 4 bananas.</em>

4 0

2 years ago

Read 2 more answers