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线性不等式与可行域进阶
To win a game show, a contestant needs to score at least 40 total points from two rounds. Correct responses in the first round are worth 3 points each, and correct responses in the second round are worth 5 points each. Which inequality models this situation, where \( f \) is the number of correct responses in the first round and s is the number of correct responses in the second round?
原库参考解析
线性不等式与可行域进阶
The shaded region shown represents the solutions to which inequality?
参考答案
线性不等式与可行域挑战
\( y<−3x+18 \)
Which point (x, y) is a solution to the given inequality in the xy-plane?
Which point (x, y) is a solution to the given inequality in the xy-plane?
参考答案
线性不等式与可行域挑战
\( y>13 \)
\( 4x+y<19 \)
The point (x, 48) is a solution to the given system of inequalities in the xy-plane. Which of the following must not be the value of x?
\( 4x+y<19 \)
The point (x, 48) is a solution to the given system of inequalities in the xy-plane. Which of the following must not be the value of x?
参考答案
线性不等式与可行域进阶
An arborist measured and recorded the heights of red maple trees in a certain area. Of the red maple tree heights recorded in this area, the minimum was 46 feet and the maximum was 57 feet. Which inequality is true for all possible values of \( t \), where \( t \) represents the recorded height, in feet, of a red maple tree in this area?
参考答案
线性不等式与可行域挑战
For the first 10 seconds of an experiment that lasts 100 seconds, a particle travels at a speed that is at least 4 meters per second and is at most 8 meters per second. For the remainder of the experiment, the particle travels at a constant speed of 12 meters per second. Which of the following is a possible number of meters the particle traveled in the first 70 seconds of the experiment?
参考答案
线性不等式与可行域进阶
\( y\le9-x \)
\( y\ge\frac{1}{8}x \)
Which shaded region represents the solutions to the given system of inequalities?
\( y\ge\frac{1}{8}x \)
Which shaded region represents the solutions to the given system of inequalities?
参考答案
线性不等式与可行域挑战
When several resistors are connected in series in a circuit, the total resistance of the circuit is the sum of the resistances of these resistors. A certain circuit consists of 9 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 110 ohms. The total resistance of 4 resistors in this circuit is 90 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 5 resistors in this circuit?
参考答案
线性不等式与可行域基础
A researcher tested the muscle strength of 4 house mice. The scores for the house mice are 1, 3, 4, and 7. Which inequality is true for all values of s, where s represents any score obtained by one of these house mice?
参考答案
线性不等式与可行域进阶
\( y\le11-x \)
\( y\ge\frac{4}{7}x \)
Which shaded region represents the solutions to the given system of inequalities?
\( y\ge\frac{4}{7}x \)
Which shaded region represents the solutions to the given system of inequalities?
参考答案
线性不等式与可行域挑战
When several resistors are connected in series in a circuit, the total resistance of the circuit is the sum of the resistances of these resistors. A certain circuit consists of 9 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 80 ohms. The total resistance of 4 resistors in this circuit is 50 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 5 resistors in this circuit?
参考答案
线性不等式与可行域基础
For a party, 52 hamburger buns are needed. Hamburger buns are sold in packages of 12. What is the minimum number of packages that should be bought for the party?
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