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kupik [55]
3 years ago
11

How do you solve -4+√(6k+96)=k

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0
The answer is k = 8.
lozanna [386]3 years ago
5 0
K is equalllllllll to 8
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If all of the pieces of candy were lined up end to end, what would be the total length of candies? 1/8in, 2/8in, 3/8in, 4/8in ,
VashaNatasha [74]

Answer:

4 1/2 inches

Step-by-step explanation:

8 0
3 years ago
the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the
Alik [6]

Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

.35+.05x

Let y be the newspaper they sell, then the income will be

y(.35+.05x)

Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

y=500-20x

Plugging the value of y in the first expression we have that the income will be

\begin{gathered} f(x)=(500-20x)(.35+\text{0}.5x)=175+25x-7x-x^2 \\ =-x^2+18x+175 \end{gathered}

Then the income is given by the function

f(x)=-x^2+18x+175

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}

no we equate the derivative to zero and solve for x.

\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}

Since the second derivative is negative in the point x=9, we conclude that this value is a maximum of the function.

With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

Therefore the price to maximize the income is $0.35+$0.45=$0.80.

4 0
1 year ago
The Smiths purchased 6 containers of ice cream for a party. Each container holds 9 cups of ice cream. Before the party, their so
morpeh [17]

Answer: they have 68 servings of ice cream left for the party

Step-by-step explanation:

The Smiths purchased 6 containers of ice cream for a party. Each container holds 9 cups of ice cream. This means that the total number of cups of ice cream that they have is

6 × 9 = 54 cups

Before the party, their sons ate 3 cups of ice cream altogether. This means that the number of cups of ice cream that they have left is

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One serving is 3/4 cup of ice cream. This means that the number of serving that they have left is

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3 0
3 years ago
Michelle is going to make a wooden jewelry box to give to her mom on her birthday. She is going to paint the box pink because it
chubhunter [2.5K]

Answer:

drxtcfygvuihon

Step-by-step explanation:

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The 3 sides of a triangle have lengths of (4x+3) cm, (2x+8) cm, and (3x-10) cm. What is the length of the shortest side if the p
galina1969 [7]

Answer:

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Step-by-step explanation:

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Second, 2x+8=30+8=38

Lastly, 3x-10=45-10=35

So, as you can see here 35 is the lowest value which means the side (3x-10) is the shortest.

3 0
3 years ago
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