Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Anything to the 0 power is 1
and 1 to the any power is 1
so x can be any number
Answer: 1.455 km
Step-by-step explanation:
First lets convert 145,500 cm in m.
145500 × 10^-2 m ( NOTE that c = 10^-2 )
= 1455 m
Now convert 1455 m in km.
1455× 10^-3× 10^3 m
= 1455 × 10^-3 km (NOTE that k= 10^3)
= 1.455 km
Answer: 17 miles
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
A county has a population density of 257 people per square mile.
The proportion is : 257 people / 1 square mile
For 4288 people: 4288 people / x miles
So:
257 people / 1 square mile = 4288 people / x miles
257/1 = 4288 /x
Solving for x
x = 4288/ (257/1)
x = 16.68 = 17 miles (rounded)
