Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
Hello,
7) A∪C={1,2,3,4,5,7,9}
8) A∩B={2,4}
C'= complement of C ={2,4,6}
9) A∪B∩C'={1,2,3,4,6,8}∩{2,4,6}={2,4,6}
10) A∪(B∩C')={1,2,3,4}∩{2,4,6}={1,2,3,4,6}
Are you blind?
Answer:
C a1= -2
an = an-1 +3
Step-by-step explanation:
an = -2+ (n-1)3
What is the first term? Let n=1
a1 = -2 + 0*3
a1 = -2
The difference between the terms is +3 (coefficient on (n-1))
The second term is the first term +3
The third term is the second term plus 3
The next term is the previous term +3
so an = an-1+ 3
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
1200/8 = 150 thus, 150 per calorie. 150 x 3 = 450 :)