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2 years ago

Find an explicit formula for the arithmetic sequence -15, 13, 31, 49

Mathematics

1 answer:

san4es73 [151]2 years ago

3 0

Answer:

No solution (read below)

Step-by-step explanation:

Formula:

a_n = a_1 + (n-1)d

N is the term #

D is the common difference

First, let's find the common difference.

13 - (-15) = 28

Let's see if that checks out.

31-13 = 18

49 - 31 = 18

18 is not equal to 28

Since there is no common difference you cannot find the equation.

Please tell me if you made a typo and comment on my answer, then I can help you find the answer

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Which logarithmic equation is equivalent to 2^5=32?

kolbaska11 [484]

Answer: $5=log_{2}(32)$

Step-by-step explanation:

1. By definition, you have if $y=b^{x}$ , then $x=log_{b}(y)$

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

$2^{5}=32$

Where:

$x=5\\y=32\\b=2$

- Substitute values into $x=log_{b}(y)$ . Then, you obtain:

$5=log_{2}(32)$

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3 years ago

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stellarik [79]

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

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Answer:

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Answer:

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If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in

Studentka2010 [4]

Answer:

man you got this

Step-by-step explanation:

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