5272道题目5525 条题源记录 · 相同内容已合并
直线方程・斜率与截距挑战
The function g is defined by\( g\left(x\right)=\frac{4}{9}x-24 \). What is the x-coordinate of the x-intercept of the graph of \( y=g\left(x\right) \) in the xy-plane?
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直线方程・斜率与截距挑战
The graph shows the momentum y, in newton-seconds, of an object x seconds after the object started moving, for \( 0\le x\le8 \). What is the average rate of change, in newton-seconds per second, in the momentum of the object from \( x=2 \) to \( x=6 \) ?
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直线方程・斜率与截距挑战
f(x) = 8x + b
For the linear function f, b is a constant and f (0)= 11. What is the value of b?
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直线方程・斜率与截距进阶
For the linear function g, the table shows four values of x and their corresponding values of g(x). The function can be written as \( g\left(x\right)=mx+b \) , where m and b are constants. What is the value of b?
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直线方程・斜率与截距挑战
For a particular car, the linear function f gives the predicted power, in brake horsepower (bhp), for engine speeds between 1,000 revolutions per minute (rpm) and 6,000 rpm. According to this function, the car's predicted power is 347 bhp at an engine speed of 2,729 rpm and 600 bhp at an engine speed of 4,500 rpm. The equation\( f\left(x\right)=\frac{1}{7}\left(x-a\right)+347 \) defines f, where x is the engine speed, in rpm, and a is a constant. What is the value of a?
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直线方程・斜率与截距挑战
In the xy-plane, line \( l \) has a slope of \( −3 \) and an x-intercept of (\( \frac{3}{5},\ 0 \) ). What is the y-intercept of line \( l \) ?
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直线方程・斜率与截距挑战
Line k is defined by \( y=6x-4 \). Line j is parallel to line k in the xy-plane and passes through the point (0, 2). Which equation defines line j?
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直线方程・斜率与截距进阶
For the linear function h, h(0) = 0 and h(5) = 3. Which equation defines h?
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直线方程・斜率与截距挑战
What is the slope of the graph of \( y=\frac{1}{3}\left(23x+19\right)+5x \) in the xy-plane?
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直线方程・斜率与截距挑战
In the xy-plane, line s passes through the point (0, 0) and is parallel to the line represented by the equation\( y=16x+2 \). If line s also passes through the point (4, d), what is the value of d?
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直线方程・斜率与截距进阶
Line t is defined by \( y=-\frac{1}{2}x+14 \) . Line s is perpendicular to line t in the xy-plane. What is the slope of line s?
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直线方程・斜率与截距进阶
The cost y, in dollars, for a manufacturer to make x rings is represented by the line shown.
What is the cost, in dollars, for the manufacturer to make 50 rings?
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