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3 years ago

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Mathematics

1 answer:

scoray [572]3 years ago

7 0

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have: m = 1 and b = -1. Substitute:

y = 1x - 1

<h3>Answer: y = x - 1</h3>

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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

Can someone help me???

Mumz [18]

Answer:

p to the power of 12

Step-by-step explanation:

hope this helps!

4 0

3 years ago

Read 2 more answers

Solve x^3 = 1 over 8.<br><br> 1 over 2<br> ±1 over 2<br> 1 over 4<br> ±1 over 4

Oduvanchick [21]

Answer:

x = 1/2

Step-by-step explanation:

x^3 = 1/8

Take the cube root of each side

x^3 ^ (1/3) = (1/8)^ (1/3)

Rewriting 8 as 2^3

x^3 ^ (1/3) = (1/2^3)^ (1/3)

x = 1/2

7 0

3 years ago

Read 2 more answers

EMERGENCY PLEASE HELP!!

Alexxx [7]

Answer:

-50x + 600 = 250

Step-by-step explanation:

10x + 60(10-x) = 250

10x + 600 - 60x = 250

-50x + 600 = 250

4 0

3 years ago

Please answer this correctly

brilliants [131]

5 x 3 = 15 + 1 = 16 feet

16 x 8 = 128 feet

128 / 3 = 42 yards 2 feet

Hope this helps!! :)

3 0

3 years ago