2 years ago

Original price of a pen $1.99 tax:6%

Mathematics

1 answer:

egoroff_w [7]2 years ago

5 0

Answer:

The final price would be 2.11$

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#54 Simplify and write the answers using positive exponents only.

kramer

Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
$( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}$ =
$( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}$ =
$(2^{-3})((m^2)^{-3})((n^{-4})^{-3})$ =
$( \frac{1}{2^3})(m^{-6})(n^{12})$ =
$( \frac{1}{8} )( \frac{1}{m^6})(n^{12})$ =
$\frac{n^{12}}{8m^6}$

8 0

3 years ago

A company can manufacture x hundred items for a total cost of C=300+1200x-100x. Find x if the total cost is 3,000

Scilla [17]

C=300+1200x-100x. Find x if the total cost is 3,000
3,000 = 300 + 1200x -100x
3000 = 300 + 1100x
2700 = 1100x
2700÷1100=x
x=27/11
x = 2 5/11 Round to 3

5 0

3 years ago

Which equation represents the graphed function?

scoundrel [369]

Solution:

we have been asked to find

Which equation represents the graphed function?

As we can see in the graph, the line is passing through the point (2,0) and (0,-3).

As we know the equation of the passing through two points is given by the formula

$(y-y_1)=m(x-x_1)\\
\\
m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2} \\$