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Question 1 of 10
1. Question
A given function f (x) = (x + 3)(x + 1), which is a parabola in xy plane. Which of the following intervals contains the x-coordinate of the vertex of the graph of f ?
Correct
The axis of symmetry of the parabola passes through the vertex of the parabola. Therefore, the vertex of the parabola and the midpoint of the segment between the two x-intercepts of the graph have the same x-coordinate.
Incorrect
The axis of symmetry of the parabola passes through the vertex of the parabola. Therefore, the vertex of the parabola and the midpoint of the segment between the two x-intercepts of the graph have the same x-coordinate.
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Question 2 of 10
2. Question
Which of the following instruction is equivalent to
?Correct
The numerator can be written as follows:
=> x^2 − 2x − 5 = x^2 − 3x + x − 3 − 2.
x^2 − 3x + x − 3 − 2, this portion can also be written as x(x – 3) + (x – 3) – 2.so now if we divide it by x-3, the result becomes,
x +1 -(2/x-3)Incorrect
The numerator can be written as follows:
=> x^2 − 2x − 5 = x^2 − 3x + x − 3 − 2.
x^2 − 3x + x − 3 − 2, this portion can also be written as x(x – 3) + (x – 3) – 2.so now if we divide it by x-3, the result becomes,
x +1 -(2/x-3) -
Question 3 of 10
3. Question
If y = 4(x – 1)(5x – 1) then which of the following is equal to y?
Correct
y = 4(x – 1)(5x – 1)
=> (4x-4)(5x-1)
=> 20x^2 – 4x -20x +4
=> 20x^2 – 24x +4Incorrect
y = 4(x – 1)(5x – 1)
=> (4x-4)(5x-1)
=> 20x^2 – 4x -20x +4
=> 20x^2 – 24x +4 -
Question 4 of 10
4. Question
In the xy-plane, the parabola
intersects the line y = 36 at two points. Determine the distance between those two points of intersection.Correct
36 = (x+4)^2
=> x +4 = 6 or -6
=> x= 2 or -10That gives us two points (2, 36) and (-10, 36). If we calculate the value of x point we will get the value.
x1-x2= 2-(-10) = 12Incorrect
36 = (x+4)^2
=> x +4 = 6 or -6
=> x= 2 or -10That gives us two points (2, 36) and (-10, 36). If we calculate the value of x point we will get the value.
x1-x2= 2-(-10) = 12 -
Question 5 of 10
5. Question
On average, for every 2,500 cans of colored paint a home improvement chain mixes, exactly 40 are the wrong color falls as defective. How many cans of paint were mixed during a period in which 128 were defective?
Correct
x(mixed) = 8000
Incorrect
x(mixed) = 8000
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Question 6 of 10
6. Question
Which one is equivalent to
?Correct
Multiply (6 + 5i )(6 + 5i )(6 + 5i ) and the result will come with –234 + 415i.
Incorrect
Multiply (6 + 5i )(6 + 5i )(6 + 5i ) and the result will come with –234 + 415i.
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Question 7 of 10
7. Question
In this type of GMO, the end-use has not itself been altered, only the process by which it is _______________. Which of the following would be appropriate?
Correct
The best-suited answer is produced.
Incorrect
The best-suited answer is produced.
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Question 8 of 10
8. Question
Suppose you have submerged a ping pong ball in the water. When you push on the ping-pong ball, it will feel much more massive than it does outside of water. Its interaction with the watery environment has the effect of endowing it with mass and also with the particles submerged in the Higgs field. In this passage what does the ping-pong ball represents?
Correct
Incorrect
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Question 9 of 10
9. Question
Critics of employer-provided professional development argue that employees might consider a popular career path. If employees find themselves falling behind in the workplace, these critics contend. Which of the following points shows the best establishment?
Correct
Must be in charge of their own careers shows the best meaning out of the sentence.
Incorrect
Must be in charge of their own careers shows the best meaning out of the sentence.
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Question 10 of 10
10. Question
The idea that happy workers are productive workers is gaining traction not only in American business but also in every developed country. What is the problem with bolded words? If there’s any, what will be the correct answer?
Correct
All the phrase means the same and other options don’t go nicely with the passage meaning.SO there will be no change.
Incorrect
All the phrase means the same and other options don’t go nicely with the passage meaning.SO there will be no change.