Answer:
x = 10
Step-by-step explanation:
5x + 6 = x + 46
4x = 40
x = 10
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.
The formula for volume of a pyramid is V = 1/3 bh. If we plug everything into the formula, you should get an answer of 17cm cubed. Hope this helps!
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Step-by-step explanation:
my brain couldn't comprehend can u write it down for me real quick like the way it's supposed to be written please