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aev [14]
3 years ago
5

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2

− 5 x + 4 fx=9x3+2x2-5x+4 and g ( x ) = 5 x 3 − 7 x + 4 . g(x)=5x3-7x+4. what is f ( x ) − g ( x ) ? f(x)-g(x)? Show all of your steps and write your final answer in factored form.
Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

Answer:

2x(2x²+x+1)

Dtep-by-step explanation:

f(x) = 9x³+2x²-5x+4

g(x) = 5x³-7x+4

f(x) - g(x)

= 9x³+2x²-5x+4 - (5x³-7x+4)

= 9x³+2x²-5x+4-5x³+7x-5

= 4x³+2x²+2x

= 2x(2x²+x+1)

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Question :-
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\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  +  \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } } \bigg ) {}^{2}  +  \bigg( \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}  + 2 \cdot \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  \cdot \sqrt{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{1}{7 +  \sqrt{5} }  + 7 +  \sqrt{5}  + 2

\qquad \sf  \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5}   }{7 +  \sqrt{5} }

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5 0
1 year ago
This list shows the lengths in feet of the 25 longest bridges in the United States.
Paladinen [302]

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

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The median is 1750.

Mode is the number that appears most often in the data set.

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The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

500 ft.

To learn more about the frequency of visit:

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7 0
2 years ago
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