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Airida [17]
3 years ago
10

What is the common ratio of the sequence? -2, 6, -18, 54,...

Mathematics
1 answer:
marta [7]3 years ago
4 0

Answer:1:3

Step-by-step explanation:

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A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches
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6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

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Which binomial is a factor of the expression?<br><br><br>Zoom in to see clearer :)​
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Step-by-step explanation:

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Adele, Barbara and Colette share $680 in the ratio 9 : 7 : 4. Calculate the amount that Barbara and Collette each receives.
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Step-by-step explanation:

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2 years ago
Respond to each of the following questions. Be sure to include and thoroughly describe each transformation.
sergeinik [125]

Answer:

31. 1) Vertical shift up 4 units.

     2) Horizontal shift right 1 unit.

     3) Vertically stretched by a factor of 3.

32. g(x)=-(x+3)^2+7

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

- If f(x)+k, the function is shifted up "k" units.

- If f(x)-k, the function is shifted down "k" units.

- If f(x+k), the function is shifted left "k" units.

- If f(x-k), the function is shifted right "k" units.

- If -f(x), the function is reflected over the x-axis.

- If bf(x) and b>1, the function is stretched vertically by a factor of "b".

31. Given the function f(x)=x^{2} and the function g(x) = 3(x - 1)^2 + 4, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:

1)  f(x)+k

2)  f(x-k)

3)  bf(x), being b>1

Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:

1) Vertical shift up 4 units.

2) Horizontal shift right 1 unit.

3) Vertical stretch by a factor of 3.

32. Knowing the parent function:

 f(x)=x^{2}

And given the transformations:

1) Reflection over the x-axis.

2) Horizontal shift left 3 units.

3) Vertical shift up 7 units.

We can define that the function g(x) is:

g(x)=-(x+3)^2+7

7 0
3 years ago
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