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larisa [96]
3 years ago
13

Identify the coefficient in the term 7 x2y3 .

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

7 x^2y^3

The coefficient is 7

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Write in point slope form of the line that passes through the points (3,-1) and (6,-2)
skelet666 [1.2K]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-(-1)}{6-3}\implies \cfrac{-2+1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-1)=-\cfrac{1}{3}(x-3)\implies y+1=-\cfrac{1}{3}(x-3)

8 0
4 years ago
The length of a rectangle is twice its width.
goldfiish [28.3K]
P = 2l + 2w
l = 2w

48 = 2(2w) + 2w
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Answer:
length = 16
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8 0
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Sarah has $18.00 and she earns $7.25 an hour at work. what’s the equations
BigorU [14]

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y = 7.25x + 18

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18 is the base. so it goes last.

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4 years ago
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yes she can

Step-by-step explanation:

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3 years ago
Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.
Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all n\in\mathbb{N},3|(4^n+5). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let n=1, then we have 4^{1}+5=9, and evidently, 9|3.

Assume that 4^n+5 is divisible by 3 for n=k, k\in\mathbb{N}. Then, by this assumption, 3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}.

Now, let n=k+1. Then:

4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)

Since 3|(4^k+m), we may conclude, by the axiom of induction, that the property holds for all n\in\mathbb{N}.

3 0
2 years ago
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