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Answer: C) 3</h3>
The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.
That means 5^n*5^3 = 5^(n+3)
So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6
The bases are equal to 5, so the exponents be equal to one another.
n+3 = 6
n+3-3 = 6-3
n = 3
So 5^3*5^3 = 5^(3+3) = 5^6.
This is 4x=2x-2 as a graph
Slope is your 2x, so 2x over 1 meaning after you plot (-2,2) on the graph you rise 2 and go 1 to the right, or do the opposite to make the line so go down 2 and one to the left. Hope that helped.
Answer: x = 3 and y = 1
Step-by-step explanation:
y = - x + 4 ............... equation 1
y = x - 2 ............. equation 2
Solving the linear equation by substitution method , we have :
substitute equation 2 into equation 1 , that is
x - 2 = - x + 4
Add 2 to both sides , we have
x = -x + 4 + 2
Add x to both sides , we have
2x = 6
divide through by 2
x = 3
Substitute x = 3 into equation 2 to find the value of y , we have
y = x - 2
y = 3 - 2
y = 1
Therefore : x = 3 and y = 1