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3 years ago

What is the slope of the line equation 7x-3y=21

1 answer:

kramer3 years ago

8 0

Equation: 7x - 3y = 21

3y = 7x - 21

Divide both sides by 3,

y = 7/3x - 7

Compare it with principle equation, y = mx + c

Here, slope (m) = 7/3

In short, Your Answer would be: 7/3

Hope this helps!

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The equation V = -2000t + 20,000 describes the value in dollars of a certain model of car after it is t years old. If a car is w

Masteriza [31]

Hi there

14000=-2000t+20000
Solve for t to find the age of the car
2000t=20000-14000
2000t=6000
T=6000/2000
T=3 years

Hope it helps

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3 years ago

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3x+2y=-4<br><br>I need help solving this. Pease help

marta [7]

Steps to solve:
3x+2y=-4
3x=-4-2y
x=- \frac{4}{3}- \frac{2}{3}y [/tex]

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3 years ago

What dose 91x17 equal

PtichkaEL [24]

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3 years ago

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that

serg [7]

Answer:

5:7

Step-by-step explanation:

The days in the week whose names don't begin with 'T' are Sunday, Monday, Wednesday, Friday, and Saturday. I counted them, and found that there are five (5) of them. Then I counted the number of days in a full week, no matter how they're spelled. I counted seven (7) that time. The ratio of 5 to 7 is. 5:7 or 5/7.

8 0

3 years ago