Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.
Also, since <em>f</em> (3) = 4 and <em>f</em> (5) = 2, we have
<em>h</em> (3) = <em>f</em> (3) + 2•3 = 4 + 6 = 10
<em>h</em> (5) = <em>f</em> (5) + 2•5 = 2 + 10 = 12
It follows from the intermediate value theorem that there is some <em>t</em> between 3 and 5 such that <em>h(t)</em> is between 10 and 12, and namely there is some <em>t</em> for which <em>h(t)</em> = 11.
How much does each bamboo plant cost. This is impossible to solve without knowing the cost. I you have the cost i would be happy to help.
25x² + 1 = 5
25x² + 1 - 5 = 0
25x² - 4 = 0 By difference of two squares
(5x)² - (2)² = 0
(5x - 2)(5x + 2) = 0
5x - 2 = 0 or 5x + 2 = 0
5x = 0 + 2 5x = 0 - 2
5x = 2 5x = -2
x = 2/5 x = -2/5
x = 0.4 x = -0.4
x = + 0.4 or -0.4
