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solniwko [45]
3 years ago
14

For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
f(x)=3x^2-2x+5\\\\
f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\
f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\
f(-2)\ \ Substitude\ x=-2\\
f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\
f(a)\ \ substitude\ x=a\\
f(a)=\underline{3a^2-2a+5}
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W - width
l - length
p - perimeter

The perimeter is 72 cm (p=72).
The length is twice the width (l=2w).
The formula for perimeter is 2w+2l=P.

p=72 \\
l=2w \\ \\
2w+2l=p \\
2w+2 \cdot 2w=72 \\
2w+4w=72 \\
6w=72 \\
w=12 \\ \\
l=2w=2 \cdot 12 =24

Check the answer:
2 \cdot 12 + 2 \cdot 24 \stackrel{?}{=} 72 \\
24+48 \stackrel{?}{=} 72 \\
72 \stackrel{?}{=} 72 \\ \hbox{true}

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  • Base be y

ATQ

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\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2

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\\ \sf\longmapsto x^2+y^2=0\dots(3)

From all equations

\\ \sf\longmapsto (x-y)^2=x^2+y^2-2xy

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\\ \sf\longmapsto (x-y)=110\dots(4)

Now

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\\ \sf\longmapsto 2x=220

\\ \sf\longmapsto x=110m

One side won't be covered hence

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