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2 years ago

12

Ƒ (x) = x² − 2x – 4.

1 answer:

Kisachek [45]2 years ago

3 0

$\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1$

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jenyasd209 [6]

Answer:

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Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

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$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

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kotykmax [81]

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