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2 years ago

How do you solve X squared =17

Mathematics

1 answer:

Savatey [412]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

given x² = 17 → take the square root of both sides

$\sqrt{x^2}$ = ± $\sqrt{17}$

x = ± $\sqrt{17}$

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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

2 years ago

Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did

kiruha [24]

Answer:

The answer is D

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Name the property of equality that justifies the statement if a equals b then b equals a

SpyIntel [72]

That would be the commutative property

3 0

2 years ago

Looking at the bill in a restaurant Mr. Svoboda had a difficult time reading the price of the meal. But he could see that 5% tax

padilas [110]

Answer:

The tip would be worth $2.19

Step-by-step explanation:

x - is the full bill

1/20 x = $0.73

Solve for x:

Multiply both sides by 20.

<u>20</u>*(1/20 x) = <u>20</u>*(0.73)

x = 14.6

Now we just have to find 15% of x to find the tip.

3/20 (14.6) = 2.19

So, the tip would be worth $2.19

6 0

3 years ago

The price of a visit to the dentist is $50. if the dentist fills any cavities an additional charge of $100 per cavity gets added

klio [65]

100x+50= your answer

For example if 3 cavities are filled you would have to multiply 100(3)+50=350

I hope this helps!

6 0

3 years ago