Answer d because the y intercept is 3 and its a positive slope
Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1) 
Given.
2) 
By (Eq. 1)
3) 
By (Eq. 2)
4) 
By (Eq. 3)/Result
50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = 
= 50mph
learn more:
Speed and motion brainly.com/question/10048445
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Answer:
With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Step-by-step explanation:
A group conducted a poll of 2083 likely voters.
The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.
The margin of error was reported to be 3%
So we are given two proportions;
A = 47%
B = 44%
Margin of Error = 3%
The margin of error shows by how many percentage points the results can deviate from the real proportion.
Case I:
A = 47% + 3% = 50%
B = 44% - 3% = 41%
Candidate A wins
Case II:
A = 47% - 3% = 44%
B = 44% + 3% = 47%
Candidate B wins
As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.
Answer:
x=-8
Step-by-step explanation:
I always change the decimals into whole numbers by multiplying them by 10. If you do this, it is much easier to solve. All you do is multiply every term by 10.
the equation changes to
-5(x+3)-2x=41
-5x-15-2x=41
combine like terms
-7x-15=41
bring the 15 over to the 41
-7x=56
divide everything by 7
-x=8
change x to a positive
x=-8
