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Andrews [41]
3 years ago
12

Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0

Answer:

A and B are both 3.  

Step-by-step explanation:

The given polynomial is 3x^4-18x^3+9x^2-54x.

We factor the GCF to obtain:

3x(x^3-6x^2+3x-18)

We factor further by grouping to get:

3x[x^2(x-6)+3(x-6)]

3x(x^2+3)(x-6)

We compare this to the given factored expression:

3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)

We must have A=3,B=3, C=-6

Harrizon [31]3 years ago
4 0

Answer:

The answer is B

Step-by-step explanation:

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

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3 years ago
Rectangular park 5/6 wide and 1 and 5/7 miles long what area is it HJELP DO IT SIMPLEST FORM
Hitman42 [59]

Answer:

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Step-by-step explanation:

7 0
3 years ago
2) 0.6148.24<br> 3<br> I really need help y’all its really hard
BartSMP [9]

Answer:

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Step-by-step explanation:

0.6/48.24

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2. divide 60 by 4824

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Charles can ride his bike 4 miles in 20 minutes. Which of the following ratios show the number of miles to minutes Charles can r
SIZIF [17.4K]

Answer:

D.) 1:5

Step-by-step explanation:

The reason why it's D is because when you simplify the original ration, 4:20, you get the simplified answer of 1:5. When you divide each side by 4, you get the ratio of 1:5.

So, D.) 1:5

Hope this helped!

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4 0
3 years ago
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Preform the indicated operation and express the answer in simplest radical form
tigry1 [53]

hello

the question here is

3\sqrt[]{7}(14-4\sqrt[]{56})

step 1

multiply through the bracket by the coeffiecient

\begin{gathered} 3\sqrt[]{7}(14-4\sqrt[]{56}) \\ (3\sqrt[]{7}\times14)-(3\sqrt[]{7}\times4\sqrt[]{56}) \\ (14\times3\sqrt[]{7})-3\sqrt[]{7}\times4\sqrt[]{4\times14} \\ (42\sqrt[]{7})-3\sqrt[]{7}\times8\sqrt[]{14} \\ (42\sqrt[]{7})-\lbrack(3\times8)\sqrt[]{7\times14} \\ 42\sqrt[]{7}-24\sqrt[]{98} \end{gathered}\begin{gathered} 42\sqrt[]{7}-24\sqrt[]{49\times2} \\ 42\sqrt[]{7}-24\times7\sqrt[]{2} \\ 42\sqrt[]{7}-168\sqrt[]{2} \end{gathered}

5 0
1 year ago
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