Answer:
B. f(x) = 4 log(x+3)
Step-by-step explanation:
B. f(x) = 4 log(x+3) : shifted three units to the left of g(x) = 4 logx
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
Answer:
Step-by-step explanation:
Given:
savings 12% of her salary.
savings $4,200
This year's salary: x + 3,000
Last year's salary: x
4,200 represents 12% of her salary.
4,200 / 12% = 35,000 is her salary this year.
x + 3,000 = 35,000
x = 35,000 - 3,000
x = 32,000 her salary last year.
