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3 years ago

Identify the remainder when 4x3 - 4x + 12 is divided by x + 2.

Mathematics

1 answer:

telo118 [61]3 years ago

7 0

4(x^4+2x^3-x^2-2x+3)/x+2

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The mean absolute deviation is 1.74 inches for the badminton team and 3.02 inches for the basketball team. Which of the followin

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I believe that answer is B. (The second one)
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3 years ago

What is the answer to -8p+3=-29

AleksandrR [38]

$-8p+3=-29 \\ \\ -8p = -29 - 3 \\ \\ -8p -32 \\ \\ p = \frac{-32}{-8} \\ \\ p = \frac{32}{8} \\ \\ p = 4 \\ \\ Answer: \fbox {p = 4}$

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3 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

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1 year ago

The GCF of 15 and 27 is _____.

daser333 [38]

The GCF if 3. Please mark Brainliest!!!

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3 years ago

Read 2 more answers

There was 7L of punch for the birthday party. How many mL of punch was<br> there?

Mnenie [13.5K]

Answer:

7000 ml

Step-by-step explanation:

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3 years ago