Answer:
A
Step-by-step explanation:
The dilation with the center of dilation at the origin and scale factor of 4 has the rule
(x,y)→(4x,4y).
Thus,
- A(-1,3)→A'(-4,12)
- B(2,1)→B'(8,4)
- C(-2,-1)→C'(-8,-4)
A'(-4,12) - option B
B'(8,4) - option C
C'(-8,-4) - option D
Answer:
a,b,c
Step-by-step explanation:
divide first
The function is f(x) = - √(-x).
And you need to analyze the domain and the range of the function.
Here it is the analysis and conclusion:
1) The domain of the graph is the set of x-values for which the function is defined, that is - x ≥ 0 => x ≤ 0 => all real numbers less than or equal to zero.
2) The range of the grpah is the set 0 images (or y-values) feasible. As you see on the graph that is y ≤ 0 => all real numbers less than or equal to zero.
3) Conclusion: the only statement that meet those facts is the third one: the range and the domain of the graph are the same.
Answer: the correct statement is the fourth one: the range and the domain of the graph are the same.
Answer: Correct, 2[8.7+7.6+6.8+6.2+5.7] = 70.0 gallons
Step-by-step explanation:
Answer:
B. 8.66%
Step-by-step explanation:
In this case we have to evaluate the following formula:
n = e ^ (k * t)
where n would be the growth rate, we are told that it doubles therefore it is 2.
k is the monthly rate and time, 8 months.
Solved for k, we are left with:
ln (n) = k * t
k = ln (n) / t
replacing we have:
k = ln (2) / t = 0.693 / 8
k = 0.0866
If we take this to a percentage it would be 0.0866 * 100 = 8.66%
Therefore the answer is B.
