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ella [17]
1 year ago
7

Solve the absolute value equation or indicate that the equation has no solution.|2x - 3= 7Select the correct choice below and, i

f necessary, fill in the answer box to complete youO A. The solution set is }(Simplify your answer. Use a comma to separate answers as needed.)B. The solution set is the empty set.
Mathematics
1 answer:
Whitepunk [10]1 year ago
5 0

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

In the question, we are looking at the absolute value function which says that:

Based on this, we have that:

undefined

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Usian bolt can run 100meters in 9.58 seconds . my car can drive 100kilometers an hour. which is faster, is it faster to travel 1
Mashcka [7]

Answer:

Your car is faster of course

Step-by-step explanation:

100 km would be 100000 meters. Then you would need to know that if Usain bolt ran 100 meters every 9.54 sec then in 100000 meters he would have ran 9540 seconds which is also known has 159 minutes, which is more than 1 hour so your car is faster.

5 0
2 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
A paper cup holds a volume of 6 fluid ounces. Is the volume of 6 paper cups greater than 5 cups?
joja [24]

Answer:

No

Step-by-step explanation

8 oz per cup meaning 40oz in 5 paper cups

6 oz per paper cup meaning 36 oz in 6 paper cups

4 0
3 years ago
Asi a las 7:00 am.Una Persona cuenta un chisme a cuatro
Advocard [28]

Answer:4096

<h2>Step-by-step explanation4^6    </h2>

6 0
3 years ago
If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?
lesantik [10]
I could help you if you label which one is the length which one it the width and which one is the height.
6 0
2 years ago
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