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2 years ago

Which expression is equivalent to –3(u+7) PLEASE ANSWER THE QUESTION

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer: (u+7) x -3

I like to use substitution, for example u=2

(2+7) x -3 = -27

-3(2+7) = -27

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PLEASE HELP ME, and explain it please please please <3

ser-zykov [4K]

The answer would be f(x)= x+47

7 0

2 years ago

I don’t know what this is

svet-max [94.6K]

From the graph given

For f(x), where x = 3, on the graph f(3) is

$f(3)=6$

For g(x), where x = 3, on the graph g(3) is

$g(3)=6$

Hence,

$f(3)=g(3)$

The answer is the second option

3 0

1 year 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 500 foot tall building is a represented by a model that is 25 inches tall using the same scale what is the height of the model

alexgriva [62]

Answer:

Step-by-step explanation:

500 divide by 25= 20

18÷360=20

8 0

2 years ago

Help ASAP

Maksim231197 [3]

16 miles because first you have to subtract your flat rate of $2 from $10, which will leave you left with $8. If it’s $0.50 per mile then divide that by the amount of money you have remaining after the flat rate deduction (8/0.50). After dividing you will find that you have enough money to travel 16 miles.

4 0

3 years ago

Read 2 more answers