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2 years ago

Which expression is equivalent to -15x + 5?

Mathematics

1 answer:

salantis [7]2 years ago

6 0

Answer:

the answer is a b c or d

Step-by-step explanation:

because I'm smart

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What is the slope of a line perpendicular to line 6x + 3y = 15

NISA [10]

Step-by-step explanation:

Given line is 6x+3y=15

Slope of the given line (m)=-x/y

=-6/3

=-2

let slope of the line perpendicular to the given line be m'.

Condition of perpendicularity,

m×m'=-1

-2×m'=-1

m'=-1/-2

m'=1/2

8 0

2 years ago

Trish is ordering t-shirts from a website that charges a certain amount per t-shirt plus a flat rate for shipping. The cost for

Lera25 [3.4K]

Answer:

20a. y = 8.75x - 5.99

20b. slop is the cost of each shirt.

20c. I am not to sure on this one so I am going to guess that it means payment to enter the shop.

Step-by-step explanation:

5 0

3 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

Write the expression<br> The Sum of 6 and x Multiplied by 4

Dmitriy789 [7]

Answer:

4(6+x)

Step-by-step explanation:

4 0

3 years ago

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Is y = 5 a solution to the inequality below?<br><br> y > 4

Elena-2011 [213]

Answer: Yes and it could be greater than 5 but it has to be greater than 4

7 0

2 years ago

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