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2 years ago

Does this graph have a proportional relationship? Explain how you know.

Mathematics

2 answers:

Kazeer [188]2 years ago

8 0

IT INCREASE EACH DAY

Archy [21]2 years ago

3 0

Answer: yes

Step-by-step explanation:

it does have a proportional relationship because as the number of days goes on the number of sales increases. it's a direct relationship

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Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

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2 years ago

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The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is give

Sholpan [36]

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2 years ago

Column A

Viefleur [7K]

The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:

$m= \frac{b-d}{a-c}$ .

Thus, the slope in A is $m= \frac{12-2}{-4-(-10)}=\frac{10}{6}=\frac{5}{3}$ .

The slope in B is $m= \frac{-4-10}{6-18}=\frac{-14}{-12}=\frac{7}{6}$ .

Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.

So, the slope in A is larger than the slope in B.

Answer: A

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3 years ago

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Anna35 [415]

Answer:

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Step-by-step explanation:

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