A farmer finds that if she plants 95 trees per acre, each tree will yield 40 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? trees Give your answer rounded to the nearest whole number.

Graph all vertical and horizontal asymptotes of the \[ f(x)=\frac{8 x-7}{-2 x-1} \]

When the function \( f(x)=\cos x \) is reflected across the \( x \)-axis, the resulting function is \( g(x)=-\cos x \). If the coordinates of the \( y \)-intercept of \( f(x)=\cos x \) are \( (0,1) \), what are the coordinates of the \( y \)-intercept of the reflected function \( g(x) \) ? (1 point) \( (1,0) \) \( (-1,0) \) \( (0,-1) \) \( (-1,1) \)

Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=4^{x}+3 \) Use the graphing tool to graph the function. What is the domain of \( f(x)=4^{x}+3 \) ? (For any answer boxes shown with the grapher, type an exact answer.) (Type your answer in interval notation.)

Part 2 of 5 A campground owner has 2500 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the s 0.71 of 1 (a) Write an expression for the length of the field as a function of \( x \). (b) Find the area of the field (area \( = \) length \( \times \) width) as a function of \( x \). (c) Find the value of \( x \) leading to the maximum area. (d) Find the maximum area. (a) \( \ell(x)=2500-2 x \) (b) \( A(x)= \)

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below (c) Find any asymptotes of the graph of \( f \). Select the co