5272道题目5525 条题源记录 · 相同内容已合并
抛物线图象与二次建模进阶
\( y=-\frac{1}{4}x^2+x+29 \)
The given equation models a company's active projects over 6 months, where y is the estimated number of active projects x months after the end of April 2013, where \( 0\le x\le6 \) . Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?
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抛物线图象与二次建模进阶
An object is kicked from a platform. The equation \( h=-4.9t^2+5t+12 \) represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
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抛物线图象与二次建模挑战
The graph of a system of a linear and a quadratic equation is shown. Which system of equations is represented by the graph?
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抛物线图象与二次建模挑战
An object is kicked from a platform. The equation \( h=-4.9t^2+13t+15 \) represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?
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抛物线图象与二次建模进阶
The equation y = x2 + 6x + 9 intersects the y-axis on the xy-plane at (0, b). What is the value of b ?
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抛物线图象与二次建模进阶
The equation y = 2x2 + 5x + 2 has a graph on the xy-plane that intersects the y-axis at (0, c ). What is the value of c ?
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抛物线图象与二次建模进阶
The y-intercept of the graph of y = 2x 2+27 is (0, y). What is the value of y ?
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抛物线图象与二次建模进阶
The y-intercept of the graph of \( y=x^2+15 \) in the xy-plane is (0, y). What is the value of y?
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抛物线图象与二次建模挑战
What is the y-intercept of the graph of \( y=6x^2+4x+3 \) in the xy-plane?
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抛物线图象与二次建模挑战
A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. According to the model, the object was launched from a height of 0 feet and reached its maximum height of 400 feet 5 seconds after it was launched. Based on the model, what was the height. in feet, of the object 9 seconds after it was launched?
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抛物线图象与二次建模进阶
\( f\left(x\right)=-8x^2+118x \)
The function f models the depth below sea level, in meters, of a certain seal x minutes after the seal dives into the water. What is the best interpretation of \( f\left(2\right)=204 \) in this context?
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抛物线图象与二次建模挑战
A machine launches a baseball from ground level. The baseball reaches a maximum height of 134.56 meters above the ground at 2.9 seconds and hits the ground at 5.8 seconds. Which equation represents the height above ground h, in meters, of the baseball t seconds after it is launched?
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