Provide an appropriate response.A rectangular sheet of metal has a length that is 2 less than 4 times the width.(a)Write the area of the rectangular sheet as a function of the width.(b)Without simplifying, write the ratio of the length of the sheet to the area of the sheet as a function of the width.(c)Simplify the function you wrote in b.(d)What kind of function is this?(e)What is its domain out of context?(f)What is its domain in the given context?
What will be an ideal response?
| (a) | a(w) = w(4w - 2) |
| (b) | f(w) =  |
| (c) | f(w) =  |
| (d) | rational function |
| (e) | all real numbers except 0 and  |
| (f) | w >  |
Mathematics
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Determine the validity of the argument.Martians are green.Frogs are green.Therefore frogs are Martians.
A. Not valid B. Valid
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Perform the conversion.3 kg = ___ g
A. 300 B. 0.003 C. 0.03 D. 3000
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Write the binomial expansion of the expression.
5
A. 32 - 
y + 
y2 - 
y3 + 
y4 - 
y5
B. 32 + 
y + 
y2 + 
y3 + 
y4 + 
y5
C. 32 - 
y - 
y2 - 
y3 - 
y4 - 
y5
D. -32 + 
y - 
y2 + 
y3 - 
y4 + 
y5
Mathematics
Solve.Tickets to a play were $25 for adults and $18 for children. 424 adult tickets were sold, and 265 children's tickets were sold. If the expenses for the play were $7000, how much profit was made?
A. $7370 B. $15,370 C. $8370 D. $7257
Mathematics