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Paha777 [63]
3 years ago
10

Kara incorrectly factored 32x2 + 48x + 18 as shown. Describe her error and correctly factor the expression. 32x2 + 48x + 18 = 2(

16x2 + 24x + 9) = 2(8x + 3)(8x + 3) = 2(8x + 3)2
Mathematics
1 answer:
aev [14]3 years ago
3 0

Answer:

Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2

Step-by-step explanation:

32x^2 + 48x + 18

2(16x^2 + 24x + 9)

2(16x^2 + 12x) (12x + 9)

2 4x(4x + 3) 3(4x + 3)

2(4x + 3)(4x + 3)

2(4x + 3)^2

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Answer:

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Step-by-step explanation:

Given:

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Sort:

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To find:

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Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

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\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

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The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

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Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

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Step-by-step explanation:

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