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KATRIN_1 [288]
3 years ago
5

Can someone please help, picture is above ^ Thanks.

Mathematics
1 answer:
ryzh [129]3 years ago
5 0
It is 3 because you switch the sign, then flip the fraction. Making it 3/1 which is just 3
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What is 10 + 10 + 10 + 10 + 10
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Step-by-step explanation:

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The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
7 0
3 years ago
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles w
Natasha_Volkova [10]

Answer:

19.209 miles from each other.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Using this we get:

{15}^{2}  +  {12}^{2}  =  {x}^{2}

225 + 144 = 369 =  {x}^{2}

\sqrt{369 }  = 19.209

6 0
3 years ago
Can someone please please help me on this algebra problem I’m stuck on answering the question?
Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}

Answer: Midline=1

1) Amplitude

\text{Amplitude =}2

2) Periods

\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}

4) The trigonometric equation is,

\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}

Answer:

y=2\cos (\frac{2\pi}{6}x)+1

4 0
1 year ago
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