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Shkiper50 [21]
3 years ago
8

Can someone please tell me if Question 7 and 8 are right? Can you also pleas explain quickly how?

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0
For 7 Yeah you're correct
You just need to implement the opposite
Since it's division then it turns to multiplication

For 8 also the same
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Twice a number is 60 more than five times the number. what is the number?
Delvig [45]
Let the number be represented by x
2x=60+ 5x                          -20*2=60+5*-20
2x-5x=5x-5x+60                     -40=60+-100
-3x=60                                      -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20
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3 years ago
. Using the Binomial Theorem explicitly, give the 15th term in the expansion of (-2x + 1)^19
timofeeve [1]
Let's rewrite the binomial as:
(1 - 2x)^{19}

\text{Binomial expansion:} (1 + x)^{n} = \sum_{r = 0}^n\left(\begin{array}{ccc}n\\r\end{array}\right) (x)^{r}

Using the binomial expansion, we get:
\text{Binomial expansion: } (1 - 2x)^{19} = \sum_{r = 0}^{19}\left(\begin{array}{ccc}19\\r\end{array}\right) (-2x)^{r}

For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.

Thus, the fifteenth term is:
\text{Binomial expansion (15th term):} \left(\begin{array}{ccc}19\\14\end{array}\right) (-2x)^{14}
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4 years ago
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mr_godi [17]
It'd be A since dividing on a negative coefficient results flipping the sign of the inequality and results in a different impact
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Answer:

Mean

Step-by-step explanation:

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