Answer:
<u>Option D. The student is completely incorrect because there is no solution to this inequality. </u>
Step-by-step explanation:
<u>The question is as following:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is no solution to this inequality.
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Given: |x-9| < -4
We should know that the out put of modulus always will be greater than or equal to zero.
So, The inequality always will not be true (unlogic condition)
So, There is no solution to this inequality.
The answer is option D
D. The student is completely incorrect because there is no solution to this inequality.
Answer:
I believe x=6 1/2 which is 6.5 in decimal form :)
The small dish costs $2 each and the large dish costs $4 each,
2(3)+4(2)=6+8=14
2(4)+4(1)=8+4=12
The best estimate for this correlation would be B) 0.9.
We can see that the number is constantly going up, which would throw out the D answer.
We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).
Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.
Full question:
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning
Answer and explanation:
We start from known to unknown. We know that Mai scored 5 points and so we work from here.
Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points
Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points
Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points