5272道题目5525 条题源记录 · 相同内容已合并
函数记号・代入与复合挑战
The function \( f \) is defined by \( f(x)=7x-205 \). If the point (k, 2k) lies on the graph of \( y=f(x) \) in the xy-plane, where k is a constant, what is the value of k?
参考答案
函数记号・代入与复合挑战
For a certain type of rope, the equation \( y=900ax^2 \), where a is a constant, gives the estimated breaking strength y, in pounds, of a rope with a circumference of x inches. Based on this equation, if a rope of this type has a circumference of 2.75 inches, it has an estimated breaking strength of 9,528.75 pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a circumference of 3.50 inches?
参考答案
函数记号・代入与复合挑战
The function m is defined by \( m(x)=3x+2 \), and the function p is defined by \( p(x)=2-x \). What is the value of \( 4m(2)−p(2) \)?
参考答案
函数记号・代入与复合进阶
The function \( f \) is defined by \( f(x)=6x+5 \) . What is the value of \( f(x) \) when \( x=100 \)?
参考答案
函数记号・代入与复合基础
The function h is defined by \( h(x)=x(x^2+29) \). What is the value of \( h(10) \)?
参考答案
函数记号・代入与复合进阶
A student council group is selling car stickers for a fundraiser. They use the function \( p\left(x\right)=5x-190 \) to determine their profit p(x), in dollars, for selling x car stickers. In order to earn a profit of $400, how many car stickers must they sell?
原库参考解析
函数记号・代入与复合进阶
The function \( f\left(x\right)=180\left(x-2\right) \) gives the sum of the interior angles, in degrees, for a polygon with x sides. What is the sum of the interior angles, in degrees, for a polygon with 35 sides?
原库参考解析
函数记号・代入与复合挑战
The function g is defined by \( g\left(x\right)=18-x \). What is the value of \( g\left(3\right) \)?
原库参考解析
函数记号・代入与复合进阶
\( f\left(x\right)=7x+800 \)
The function shown gives the total cost f(x), in dollars, for making x units of a certain product. What is the total cost, in dollars, for making 100 units of this product?
原库参考解析
函数记号・代入与复合进阶
The function \( f \) is defined by \( f(x)=5x^{2}+x \) . What is the value of \( f\left(6\right) \)?
原库参考解析
函数记号・代入与复合进阶
The function \( f \) is defined by \( f(x)=2x+b \), where b is a constant and \( f(5)=4 \). What is the value of b?
原库参考解析
函数记号・代入与复合进阶
The function h is defined by \( h(x)=100x-80 \). What is the value of \( h(x) \) when \( x=4 \)?
原库参考解析
