All categories

3 years ago

19x+rx= -37x+w what is the x

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer:

x = w / (56 + r)

Step-by-step explanation:

Given the equation :

19x + rx= -37x + w ; find x

Collecting like terms

19x + rx + 37x = w

Factorizing x in the Left hand side

x(19 + 37 + r) = w

x(56 + r) = w

Therefore we can obtain x by dividing both sides by (56 + r)

x(56 + r) / (56 + r) = w / (56 + r)

x = w / (56 + r)

You might be interested in

What is the value of ¡97 - i?

Mrrafil [7]

Answer:

This is the answer

Step-by-step explanation:

3 0

3 years ago

If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is

guajiro [1.7K]

Answer:

198

Step-by-step explanation:

7 0

3 years ago

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewarded him by putting 3 marbles

Law Incorporation [45]

Needs 76 more marbles

7 0

3 years ago

0.4 divided by 41 (help pls-

sasho [114]

102.5

Lol, well to start, it’s not asking to divide 0.4 by 41. It’s asking to divide 41 by 0.4.
And that will get you to 102.5. You could do long division or use a calculator if you are allowed.

8 0

2 years ago

Read 2 more answers