3 years ago

F(x) = 1/3x² – 3x² – 7 What kind o

Mathematics

1 answer:

Aleks04 [339]3 years ago

3 0

Answer:f ( x - 1 ) = 3x² - 5x - 7

Step-by-step explanation:

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Using the net below, find the surface area of the triangular prism.

Luden [163]

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is $b*h/2$ .

Hope this helps :)

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2 years ago

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Given: f(x)=x^2, g(x)=x+6, h(x)=7<br><br>Find h{g[f(x)]}

arsen [322]

Step-by-step explanation:

$f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7$

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3 years ago

If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}$