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3 years ago

12

Tell whether the sequence is arithmetic. If it is, what is the common difference?

1 answer:

Annette [7]3 years ago

4 0

Answer:

No

Step-by-step explanation:

The sequence is not an arithmetic sequence. For a sequence to be arithmetic, the difference between consecutive terms is a constant number which is termed as the common difference.

This means that the difference between the second term and the first term must be equal to the difference between the third term and the second term.

In the sequence above, the first term is 10. The difference between the first and second term is 15. When the first term is subtracted from the second, what we get is 5.

Now, let’s look at the third term and the second term. The difference here is 21 minus 15 which equals 6. Now we can see that the common difference is not constant and thus we conclude that the series is not arithmetic.

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4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

5 0

3 years ago

The circle below is centered at the point (4,1) and has a radius of length 2. What is it’s equation?

vekshin1

Answer:

Option B:

$(x-4)^2+(y-1)^2 = 4$

Step-by-step explanation:

Given

Centre = (h,k) = (4,1)

Radius = r = 2

The standard equation of circle is:

$(x-h)^2+(y-k)^2=r^2$

Putting the values of h,k and r

$(x-4)^2+(y-1)^2 = (2)^2\\(x-4)^2+(y-1)^2 = 4$

Hence, the correct option is option B

$(x-4)^2+(y-1)^2 = 4$

5 0

3 years ago

Read 2 more answers

A bus has less than 42 seats. If 36 seats are already occupied, write an

Fudgin [204]

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

8 0

3 years ago

Please tell me what to multiply by like the equations (finding the surface area)

cupoosta [38]

Length time weith time highth

3 0

3 years ago

Read 2 more answers

Find the value of x that makes ABCD a parallelogram.

daser333 [38]

Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

7 0

2 years ago