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.
Answer:
y = (1/3)x +5/3
Step-by-step explanation:
The general equation of a line is
y = mx+b
where m is the slope and b the y-intercept
Since the slope is 1/3 we have
y = (1/3)x +b
since the line passes through (x,y) = (-2,1) this point satisfies the equation
1 = (1/3)(-2) + b ===> b = 1+2/3 ===> b = 5/3
and the equation of the line is
y = (1/3)x +5/3
Answer:
C
Step-by-step explanation:
15 1/2÷2 5/6
15.5 ÷2.833
5.47
Answer:
Explicit:
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
Step-by-step explanation:
1, 5, 25, 125...
1, 1×5 = 5, 5×5 = 25, 25×5 = 125..
It is a Geometric sequence with:
First term: 1
Common ratio: 5
Nth term of a Geometric sequence is:
a(n) = a(1) × r^(n-1),
Where a(1) is the first term and r is the common ratio.
Therefore,
a(n) = 1 × 5^(n-1)
a(n) = 5^n × 5^-1
a(n) = (5^n)/5
Recursive:
a(n) = 5 × a(n-1)
