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3 years ago

I need help on these questions.

Mathematics

1 answer:

IRINA_888 [86]3 years ago

7 0

The answer should be y=x-2. To solve other questions like these, find the y-intercept on the y-axis and use rise over run to count the slope between the points. Here it rises 3 and runs 3, simplifying to one. The y-axis crosses at -2. Plug this into y=mx+b and you get y=x-2

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United

Shkiper50 [21]

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula : [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

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3 years ago

What is the answer to 3x –7 = -16

Anni [7]

Answer:

x = -3

Step-by-step explanation:

3x –7 = -16

3x = -16 + 7

3x = -9

x = -3

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3 years ago

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Musya8 [376]

Answer:

Let f be a function. If any horizontal line intersects the graph of f more than once, then f does not have an inverse. An absolute value function (without domain restriction) has an inverse that is NOT a function. That's why an absolute value function does not have an inverse function。

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2 years ago

Simplify: (-2)(-3)+(4)(-8) Simplify: (3)(-6)-18

koban [17]

Answer:

Step-by-step explanation:

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3 years ago

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