What is the solution set of 2x−3=5 and 5x+3>−12 ?
v=Gmp(200 km)−−−−−−√ v=Gmp(200 km)−−−−−−√ v=Gmp(7,000 km)−−−−−−−√ v=Gmp(7,000 km)−−−−−−−√ v=1(200 km)Gmp−−−−√ v=1(200 km)Gmp−−−−√ v=1(7,000 km)Gmp−−−−√
The solution set of 2x−3=5 is x = 4.
The solution set of 5x+3>−12 is x > -3.
I'm sorry, but I do not understand the second part of your question. Could you please provide more information or clarification?
Let G be the universal gravitational constant and mp be the mass of the planet a satellite is orbiting. Which equation could be used to find the velocity of the satellite if it is placed in a low Earth orbit?
v=Gmp(200 km)−−−−−−√
v=Gmp(7,000 km)−−−−−−−√
v=1(200 km)Gmp−−−−√
v=1(7,000 km)Gmp−−−−√
The equation that could be used to find the velocity of the satellite if it is placed in a low Earth orbit is:
v = √(Gmp/200 km)
Where:
v is the velocity of the satellite
G is the universal gravitational constant
mp is the mass of the planet (in this case, Earth)
200 km is the radius of the low Earth orbit
To find the solution set of the equations 2x - 3 = 5 and 5x + 3 > -12, we need to solve each equation separately.
1. Solving the equation 2x - 3 = 5:
Add 3 to both sides of the equation to isolate the variable x:
2x - 3 + 3 = 5 + 3
2x = 8
Divide both sides of the equation by 2:
2x/2 = 8/2
x = 4
Therefore, the solution to the equation 2x - 3 = 5 is x = 4.
2. Solving the inequality 5x + 3 > -12:
Subtract 3 from both sides of the inequality to isolate the variable x:
5x + 3 - 3 > -12 - 3
5x > -15
Divide both sides of the inequality by 5 (remember, if you divide by a negative number, the inequality direction changes):
x > -15/5
x > -3
Therefore, the solution to the inequality 5x + 3 > -12 is x > -3.
So, the solution set for the given system of equations is x = 4 and x > -3.
To find the solution set for the equations, let's solve them step by step:
1. 2x - 3 = 5
Add 3 to both sides of the equation:
2x = 8
Divide both sides by 2:
x = 4
So the solution to the equation 2x - 3 = 5 is x = 4.
2. 5x + 3 > -12
Subtract 3 from both sides of the equation:
5x > -15
Divide both sides by 5:
x > -3
So the solution to the inequality 5x + 3 > -12 is x > -3, which means x is any number greater than -3.
Now, let's address the second part of your question:
v = Gmp(200 km)−−−−−−√
v = Gmp(7,000 km)−−−−−−√
v = 1(200 km)Gmp−−−−√
v = 1(7,000 km)Gmp−−−−√
It seems like you are trying to calculate the value of v using some formulas involving Gmp and distance values (200 km and 7,000 km).
However, the meaning of "Gmp" is not clear. Without knowing what Gmp stands for or represents, it is not possible to calculate the value of v based on the given formulas.
If you can provide more information about Gmp or clarify your question, I will be happy to assist you further.