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3 years ago

If f(x) = 3x-2, then f (8) - f (-5) =

Mathematics

2 answers:

Volgvan3 years ago

8 0

Step-by-step explanation:

= f (8) - f (-5)

= 3*8-2 -(3*-5-2)

= 22-(-15-2)

= 22+17

= 39

scoray [572]3 years ago

6 0

F(8)=3(8)-2=22
f(-5)=3(-5)-2=-17

f(8)-f(-5)
=22-(-17)
=22+17
=39

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

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The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

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Given that :

the shape of a cone whose base diameter and height are always equal.

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h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

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$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

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we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

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3 years ago

If f(x) = 3x-2, then f (8) - f (-5) =​

If f(x) = 3x-2, then f (8) - f (-5) =