Answer:
x=3, y=-2. (3, -2).
Step-by-step explanation:
4x+2y=8
5x+3y=9
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simplify 4x+2y=8 into 2x+y=4
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2x+y=4
5x+3y=9
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y=4-2x
5x+3(4-2x)=9
5x+12-6x=9
-x=9-12
-x=-3
x=3
2(3)+y=4
6+y=4
y=4-6
y=-2
Given:
The given expression is:

To find:
The single logarithm expression for the given expression.
Solution:
Quotient property of logarithm:

We have,

Using quotient property of logarithm, we get


Therefore, the required expression is
.
The value of f(1) = 81
Step-by-step explanation:
For the recursive function, f(n+1) = one-half(n)
Thus, when n = 2,
f(3) = 9
If n = 1,
f(2) = 9×3
f(2) = 27
If n = 0,
f(1) = 27 ×3
f(1) = 81
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Answer:
f(x) = (x+6)² - 10
Step-by-step explanation:
To write the equation in vertex form we, we need to use completing square method.
f(x) = x²+ 12x + 26 = (x² + 2*x*6 + 6²) - 6² + 26 = (x+6)² -36 + 26 =
= (x+6)² - 10
f(x) = (x+6)² - 10