Maths-
SAT
Easy
Question
y= -2
y + 11 = x 2
If (x1, y1 ) and (x2, y2) are solutions to the system of equations above, what are the values of x1 and x2 ?
- -2 and 2
- -3 and 3
The correct answer is: -3 and 3
y = - 2
y + 11 = x2
-2 + 11 = x2
9 = x2
x = + 3 or – 3
(3, -2) & (-3, - 2)
x1 & x2 = - 3 & 3
Related Questions to study
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The figure above represents a rectangular painting with a frame that is 2 inches wide. The expression 2x2 - (x - 4)(2x - 4) represents the area of the frame, in square inches. What does the quantity (x - 4) (2x - 4) in the expression represent?
The figure above represents a rectangular painting with a frame that is 2 inches wide. The expression 2x2 - (x - 4)(2x - 4) represents the area of the frame, in square inches. What does the quantity (x - 4) (2x - 4) in the expression represent?
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A group of 10 students played a certain game. Every player received a score equal to an integer from 1 to 10, inclusive. For the 10 players, the mean score was 4. If more than half of the players received a score greater than 5, which of the following is true about the mean score of the remaining players?
A group of 10 students played a certain game. Every player received a score equal to an integer from 1 to 10, inclusive. For the 10 players, the mean score was 4. If more than half of the players received a score greater than 5, which of the following is true about the mean score of the remaining players?
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The graph above shows the price that a chemical company charges for an order of fragrance oil, depending on the weight of the order. Based on the graph, which of the following statements must be true?
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The scatterplot above shows the relationship between the amount of dietary cholesterol, in milligrams (mg), and the amount of total fat, in grams (g), in the 12 sandwiches offered by a certain restaurant. The line of best fit predicts the amount of total fat a sandwich has based on the amount of dietary cholesterol in the sandwich. How many grams of total fat are in the sandwich for which this
prediction is the most accurate?
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The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at the end of 1928, the year in which it was built. Starting in 1929, sediment carried downstream by the Susquehanna River collected in the reservoir and began reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet per year.
If the reservoir's capacity t years after 1928 was between 290,000 and 292,000 acre- feet, which of the following must be true?
The Conowingo Reservoir had an original storage capacity of 300,000 acre-feet at the end of 1928, the year in which it was built. Starting in 1929, sediment carried downstream by the Susquehanna River collected in the reservoir and began reducing the reservoir's storage capacity at the approximate rate of 1,700 acre-feet per year.
If the reservoir's capacity t years after 1928 was between 290,000 and 292,000 acre- feet, which of the following must be true?
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(3x+2)(2x+3)
Which of the following is equivalent to the expression above?
(3x+2)(2x+3)
Which of the following is equivalent to the expression above?
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In 789, Benjamin Franklin gave an amount of money to Boston, Massachusetts. The money was to be invested fo1r 00 years in a trust fund. If the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for th1e 00 years?
In 789, Benjamin Franklin gave an amount of money to Boston, Massachusetts. The money was to be invested fo1r 00 years in a trust fund. If the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for th1e 00 years?
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In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
The results of which of the studies can appropriately be generalized to all tenth graders in Mistwick in spring 2015?
maths-sat
maths-
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
Which of the following could be the median score in Study III?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
Which of the following could be the median score in Study III?
maths-sat
maths-
The number of people who rode a certain bus each day of a week is shown in the table below.
|
Day |
Number of riders |
| Monday |
612 |
| Tuesday |
798 |
| Wednesday |
655 |
| Thursday |
773 |
| Friday |
808 |
| Saturday |
480 |
| Sunday |
229 |
The number of people who rode a certain bus each day of a week is shown in the table below.
|
Day |
Number of riders |
| Monday |
612 |
| Tuesday |
798 |
| Wednesday |
655 |
| Thursday |
773 |
| Friday |
808 |
| Saturday |
480 |
| Sunday |
229 |
maths-sat
maths-
What is the graph of y=4−2(0.5) x ?
What is the graph of y=4−2(0.5) x ?
maths-sat
maths-
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by
. If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by
. If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?maths-sat
maths-
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
|
Minutes after injection |
Penicillin concentration (micrograms per milliliter) |
|
0 |
200 |
|
5 |
152 |
|
10 |
118 |
|
15 |
93 |
|
20 |
74 |
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
maths-sat
maths-
Line m is shown in the xy-plane. Line p (not shown) is perpendicular to line m. Which of the following could be the equation of line p?
Line m is shown in the xy-plane. Line p (not shown) is perpendicular to line m. Which of the following could be the equation of line p?
maths-sat
maths-
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
What percent of all the scores reported in the three studies were in the 50-59 range?
In spring 2015, three separate studies on the fitness level of tenth graders were conducted in the city of Mistwick. In each study, every student in a group of tenth graders took the same fitness test and received a score on it. The possible scores on the fitness test are the whole numbers from 50 to 100, inclusive. The distribution of the scores for each of the' studies is shown in the table below.
|
Score range |
Study I |
Study II |
Study III |
| 50-59 |
24 |
50 |
88 |
| 60-69 |
36 |
67 |
67 |
| 70-79 |
22 |
52 |
65 |
| 80-89 |
11 |
14 |
41 |
| 90-100 |
7 |
17 |
39 |
| Mean score |
68.6 |
68.7 |
70.4 |
| Total number of participants |
100 |
200 |
300 |
• For Study I, 100 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study II, 200 tenth graders were selected at random from all tenth graders in Mistwick.
• For Study III, 300 tenth graders from Mistwick volunteered to participate.
No tenth grader participated in more than one of the three studies.
What percent of all the scores reported in the three studies were in the 50-59 range?
maths-sat
