<span>log(x-3)+log(x) = 2 + log(x+2)
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log[(x-3)x] - log(x+2) = 2
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log[(x^2-3x)/(x+2)] = 2
----
(x^2-3x)/(x+2) = 2^2
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x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>
Answer:
g(x) = |x| -9
Step-by-step explanation:
In the form ...
g(x) = a|x -h| +k
the parameters are ...
- a: the vertical scale factor (1)
- h: the right shift of the vertex (0)
- k: the upward shift of the vertex (-9)
The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).
Then the translated function is ...
g(x) = |x| -9
Answer:
#5
Area = Area of bigger triangle - Area of small triangle
#8
Area = area of square + area of two right angled triangles
Answer:
total=45
1/3+2/5=11/15
remaining fraction of houses=1-11/15
=4/15
reamaimg houses=4/15×45=12houses
I think Si is more reactive
