Maths-
SAT
Easy
Question
Which of the following could be the equation of the graph above?
- y = x(x − 2)(x + 3)
- y = x2(x − 2)(x + 3)
- y = x(x + 2)(x − 3)
- y = x2(x + 2)(x − 3)
The correct answer is: y = x2(x − 2)(x + 3)
The Graph has crossed x-axis at -3 and 2 and touched the x-axis at 0
The equation of the Graph is (x-(-3))(x-(+2))(x-0)(x-0)
= (x+3)(x-2)x2
Related Questions to study
maths-
A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
maths-sat
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3x + x + x + x − 3 − 2 = 7 + x + x
In the equation above, what is the value of x ?
3x + x + x + x − 3 − 2 = 7 + x + x
In the equation above, what is the value of x ?
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In the equation above, which of the following is a possible value of x + 1 ?
In the equation above, which of the following is a possible value of x + 1 ?
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In the xy-plane, the graph of which of the following equations is a line with a slope of 3 ?
In the xy-plane, the graph of which of the following equations is a line with a slope of 3 ?
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Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. Organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert?
Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. Organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert?
maths-sat
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Note: Figure not drawn to scale.
In the figure above, lines l and m are parallel, y = 20, and z = 60. What is the value of x?
Note: Figure not drawn to scale.
In the figure above, lines l and m are parallel, y = 20, and z = 60. What is the value of x?
maths-sat
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The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is 19 millimeters, what is the predicted length, in millimeters, of the petal?
The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is 19 millimeters, what is the predicted length, in millimeters, of the petal?
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In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
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A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing?
A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing?
maths-sat
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To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?
To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?
maths-sat
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The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results.
Let s1 and r1 be the standard deviation and range, respectively, of the data before exercise, and let s2 and r2 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results.
Let s1 and r1 be the standard deviation and range, respectively, of the data before exercise, and let s2 and r2 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
maths-sat
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Population of Greenleaf, Idaho
|
Year |
Population |
|
2000 |
862 |
|
2010 |
846 |
Population of Greenleaf, Idaho
|
Year |
Population |
|
2000 |
862 |
|
2010 |
846 |
maths-sat
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For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?
For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?
maths-sat
maths-
M = 1,800(1.02)t
The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
M = 1,800(1.02)t
The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
maths-sat
maths-
Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
US Production of Plastic
Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?
Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39x + 46.89, where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
US Production of Plastic
Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?
maths-sat
