Answer:
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Step-by-step explanation:
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Inverse, baseically
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=6(x+2)-3
replace with y
y=6(x+2)-3
switch x and y
x=6(y+2)-3
solve for y
x=6y+12-3
x=6y+9
minus 9
x-9=6y
divide 6
1/6x-3/2=y
replace
f⁻¹(x)=1/6x-3/2
when x=21
f⁻¹(21)=1/6(21)-3/2
f⁻¹(21)=21/6-3/2
f⁻¹(21)=21/6-9/6
f⁻¹(21)=12/6=
f⁻¹(21)=2
answer is f⁻¹(21)=2
inverse function is
f⁻¹(x)=1/6x+3/2
1/5, 5/8, 2/3 from least to greatest.
1/5 = 0.20 x 100% = 20%
5/8 = 0.625 x 100% = 62.50%
2/3 = 0.667 x 100% = 66.70%
It is easier to convert dissimilar fractions into decimals to know which fraction has greater or lesser value compared to the other fractions.
To find the surface area, you will use the formula area equals length times width to find the areas of all six shapes.
4×11, 4×5, and 11×5 are the three different areas shown. There are two of each, so 44×2, 20×2, and 55×2. 88+40+110=238 square mm.
238 square mm is the surface area.