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xz_007 [3.2K]
3 years ago
13

Find the area of a rectangle with a length of 4 5/8 inches and a width of 1/2 inch? Is it A. 16/37 in2, B. 37/16 in2, C. 37/2 in

2, D. 37/8 in2.
Mathematics
1 answer:
dybincka [34]2 years ago
5 0
Area is length times width.  Our length and width are 4 5/8 and 1/2 respectively, so the formula for the area is A=4 \frac{5}{8}* \frac{1}{2}.  It will be easier to get that mixed fraction into an improper one and then multiply the fractions straight across the top and straight across the bottom.  A= \frac{37}{8}* \frac{1}{2}.  Doing that multiplication gives us A= \frac{37}{16},  choice B.
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Step-by-step explanation:

The first one (f×g)(x) is asking you what is f of x times g of x. This means you multiply the function. You can multiply by the first term (5x) then the second (3) and combine like terms.

{15x}^{2} (5x) =  {75x}^{3}   \\ 19x(5x)  = 95 {x}^{2} \\  6(5x)  = 30x

{15x}^{2} (3) = 45 {x}^{2}  \\ 19x(3) = 57x \\ 6(3) = 18

Combine like terms

{75x}^{3}  +  {95x}^{2}  +  {45x}^{2}  + 30x + 57x \\  + 18 = \\   {75x}^{3}  +  {140x}^{2}  + 87x + 18

The second one asks you to divide.

Factor out f(x):

{15x}^{2}  + 19x + 6

From dividing f(x) /g(x)

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To

\frac{(5x + 3)(3x + 2)}{5x + 3}

Cancel like terms since (5x+3) is on top and bottom of fraction.

You get 3x+2

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