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3 years ago

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Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in th

e sequence? What happens to the sum of this geometric sequence? (This question has one right answer.) Give an example of a geometric sequence to illustrate your reasoning. (Many answers are possible.)

1 answer:

ratelena [41]3 years ago

6 0

The next terms in the sequence will be multiplied by c, but the common ratio is still the same

example :

S = [1(3)^4 - 1]/ [3-1] = 80/2 - 40

Hope this helps

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Since Jacob's family moved to a house near where his grandparents live, his grandmother and grandfather have visited every Sunda

Elenna [48]

Answer:

51 books

Step-by-step explanation:

15=first visit

19=2nd visit

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3 years ago

A 700 megabyte CD can store 80 minutes of music how many CDs would be needed to store 420 minutes of music?

PSYCHO15rus [73]

The answer would be 5.25 CDs. This is right because 420/80 is 5.25.

Hope this helps!

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3 years ago

Guys please help me with this question

diamong [38]

Answer: Can I get brainliest and 5 stars? thank you.

a) $\frac{65}{99}$

b) $\frac{59}{90}$

c) $\frac{13}{20}$

Step-by-step explanation:

a) $0.65$ I can't put line above it, but the line expresses that 6 and 5 and repeating infinitely. Let X equal the decimal number.

$x=0.65$

First multiply by 1 followed by as many zeros as repeating numbers there are. In this case since 6 and 5 are the repeating numbers, we have to add 2 zeros which is basically multiplying by 100

0.65*100=65.65 (another 65 remains on the right because they're infinite.)

Now substract from the original number. Now we have a new equation that says: $100x=65.65$ .

Substract equation 1 from equation 2.

$100x=65.65\\-x=0.65$

---------------------------------

$99x=65$

Solve just like any other equation. Divide by 99 to isolate x.

$\frac{99x}{99}=\frac{65}{99}$

$x=\frac{65}{99}$ This is the fraction.

------------------------------------------------------------------------------------------------

b) $0.65^-$ This one is a little bit different because we only have 1 repeating number.

In this case we have to multiply by 10.

$0.65^-*10=6.55^-$

Equation 1: $x=0.65^-$

Equation 2: $10x=6.55^-$

Substract.

$10x=6.55^-\\-x=0.65^-$

-----------------------

$9x=5.9$

divide by 9 to isolate x

$\frac{9x}{9}=\frac{5.9}{9}$

$x=\frac{5.9}{9}$

To get rid of the decimal in the numerator, multiply both numerator and denominator by 10 so that we don't change the fraction.

$x=(\frac{5.9*10}{9*10} )$

$x=\frac{59}{90}$ and this is your fraction.

------------------------------------------------------------------------------------------------------

c) 0.65 this one has no repeating number. It's a finite decimal number.

I assume you already know that; $a=\frac{a}{1}$ , so, we can do the same here to have a fraction.

$0.65=\frac{0.65}{1}$

Now, in order to get rid of the decimal, multiply by 1 followed by as many zeros as decimal numbers are. In this case 2 zeros because there are 2 decimal numbers, so it's 100. Remember that if you do it in the numerator, you have to do it in the denominator as well to not change the fraction.

$\frac{0.65*100}{1*100} =\frac{65}{100}$

Simplify if possible.

$\frac{65/5}{100/5} =\frac{13}{20}$ This is your fraction.

6 0

3 years ago

1)The table below represents a linear function f(x) and the equation represents a function g(x):

irga5000 [103]

<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

x     y
-1 -11
0   -1
1    9

g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x y
1 0
1 -1
2 1
2 -2

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6           -6 + 6 = 0

So the ordered pair is (6,0)
</span>

6 0

3 years ago

Read 2 more answers

Which is an equation of the given line in standard form?

san4es73 [151]

-8x+9y=23 -- y=8/9x+23/9

(-4,-1), (1/2,3)
(3--1)/(1/2--4)= 4/(4 1/2)=.888888889

So answer A because if you rearrange it in y=mx+b form you see it's y=8/9x+23/9. And using the two points provided you can subtract to find the slope which comes out to be 8/9 the only two answers with that are A and B, so eliminate C and D. Then you can easily tell by looking at the graph that the y-intercept is positive, thus answer A is the only answer that works.

4 0

4 years ago

Read 2 more answers