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OLEGan [10]
3 years ago
6

. If 3n + 8 = 44, what is the value of n?​

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

3n + 8 = 44

Subtract both sides by 8.

3n = 36

Divide both sides by 3.

n = 12.

FrozenT [24]3 years ago
3 0

\huge\text{Hey there!}

\mathsf{3n + 8 = 44}

\large\textsf{SUBTRACT 8 to BOTH SIDES}

\mathsf{3n + 8 - 8 = 44 - 8}

\large\textsf{CANCEL out, 8 - 8 because that gives you 0}

\large\textsf{KEEP: 44 - 8 because it helps solve for n}

\mathsf{44 - 8 = \bf 36}

\large\textsf{New EQUATION:  3n = 36}

\large\textsf{DIVIDE  3 to BOTH SIDES}

\mathsf{\dfrac{3n}{3}=\dfrac{36}{3}}

\large\textsf{CANCEL out: } \mathsf{\dfrac{3}{3}}\large\textsf{ because that gives you 1}

\large\textsf{KEEP: }\mathsf{\dfrac{36}{3}}\large\textsf{ because it solves for n}

\large\textsf{New EQUATION: }\mathsf{n = \dfrac{36}{3}}

\mathsf{\dfrac{36}{3}=n}

\large\textsf{Simplify above \&  you will  have the answer to your given question.}

\mathsf{n =\bf 12}

\boxed{\boxed{\large\textsf{Answer: \huge\bf n = 12}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
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The minimum cost to produce the product is $7.

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To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

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Now, let f'(x)=0

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Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

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