What is the answer simplify 2(5x+3)-2(2x-3)
2 answers:
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First note that 
; otherwise 
is undefined as long as we're only looking for real solutions.
We can write
We can write
9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
<u>Question 6</u>
1) ,
, O is the midpoint of
,
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (a midpoint splits a segment into two congruent parts)
5) (LL)
<u>Question 7</u>
1) are right angles),
2) (reflexive property)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (LL)
5) (CPCTC)
<u>Question 8</u>
1) , point D bisects
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (definition of a bisector)
5) (reflexive property)
6) (LL)
7) (CPCTC)