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3 years ago

Find the x-intercept and the y-intercept of the graph of the equation 11x+12y=8

Mathematics

1 answer:

ipn [44]3 years ago

4 0

The answer would be (8/11,0) as the x-intercept

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How do u solve proportion equations

jok3333 [9.3K]

You draw a line and then a = and another line on another side

like this but bigger ––=––

7 0

2 years ago

The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the t

wolverine [178]

Answer:

a) The implied differential equation is $\frac{dN}{725 - N} = kdt$

b) The general equation is $N = 725 - C e^{-kt}$

c) The particular equation is $N = 725 - 325 e^{-0.49t}$

d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)

Step-by-step explanation:

The rate of change of N(t) can be written as dN/dt

According to the question, $\frac{dN}{dt} \alpha (725 - N(t))$

$\frac{dN}{dt} = k (725 - N)\\\frac{dN}{725 - N} = kdt$

Integrating both sides of the equation

$\int {\frac{1 }{725 - N}} \, dN = \int {k} \, dt\\- ln (725 - N) = kt + C\\ ln (725 - N) = -(kt + C)\\725 - N = e^{-(kt + C)} \\725 - N = e^{-kt} * e^{-C} \\725 - N = C e^{-kt}\\N = 725 - C e^{-kt}$

When t = 0, N = 400

$400 = 725 - C e^{-k*0}\\400 = 725 - C\\C = 725 - 400\\C = 325$

When t = 3, N = 650

$650 = 725 - (325 * e^{-3k})\\325 * e^{-3k} = 75\\e^{-3k} = 75/325\\e^{-3k} = 0.23\\-3k = ln 0.23\\-3k = -1.47\\k = 1.47/3\\k = 0.49$

The equation for the population becomes:

$N = 725 - 325 e^{-0.49t}$

At t = 5, the population becomes:

$N = 725 - 325 e^{-0.49*5}\\N = 725 - 325 e^{-2.45}\\N = 696.95\\N(5) = 697$

N(5) = 700 ( to the nearest 50)

6 0

3 years ago

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

Mademuasel [1]

Amount of money collected in the 2-day fundraiser is represented by the following equations:

12x + 4y = 152 .................. (i)
32x + 12y = 420 .................. (ii)

where x is the cost of a chicken lunch and y is the cost of a vegetarian lunch

Multiplying (i) with 3 and subtracting it from (ii)

36x + 12y - (32x + 12y) = 456 - 420

⇒ 4x = 36

⇒ x = 9

Put value of x in (i)

⇒ 12 × 9 + 4y = 152

⇒ 108 + 4y = 152

⇒ 4y = 44

⇒ y = 11

Hence, cost of the vegetarian meal is 11.

7 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select t

patriot [66]

Answer:

How old are you

Step-by-step explanation:

8 0

2 years ago

Find the solution for this system of equations.

Alexxx [7]

A) 12x + 15y = 34

B) -6x + 5y = 3 Multiplying B) by -3

B) 18x -15y = -9 Then adding this to A) equals
30x = 25
x = 0.8333333333...

A) 12x + 15y = 34

12 * 0.8333333333... + 15y = 34

10 + 15y = 34
15y = 24
y = 1.6

4 0

3 years ago