-7x-17=2x+10 Show work

Mathematics

1 answer:

Dimas [21]2 years ago

6 0

-7x-17=2x+10

2x+7x= -17 -10

9x= - 27

x = – 27/ 9

x= –3

I hope I helped you^_^

You might be interested in

10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1

Anna71 [15]

The width of his office on the floor plan is 2.5 in.

3 0

3 years ago

Read 2 more answers

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and t

WINSTONCH [101]

Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.

How long will it take for this population to grow to a hundred rodents? To a thousand rodents?

Step-by-step explanation:

Use the initial condition when dp/dt = 1, p = 10 to get k;

$\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}$

Seperate the differential equation and solve for the constant C.

$\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}$