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Lyrx [107]
3 years ago
13

What is the direct variation equation if y varies directly with x and y= -12 When x= 6?

Mathematics
2 answers:
Doss [256]3 years ago
7 0
The answer would be A y = -2x
Setler [38]3 years ago
3 0
If y varies directly with x, then the ratio y/x will always be the same. Set it equal to the known values and solve for y.

y/x = -12/6

Cross multiply

6y = -12x

y = -2x


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Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...
nalin [4]

Answer:

<em>summation of five times negative three to the power of n from n equals zero to infinity</em>

Step-by-step explanation:

<u>Summation Notation </u>

It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:

5-15+45-135+...

If we take 5 as a common factor, we have

5(1-3+9-27+...)

The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1

The summation is then represented by

\sum_{n=0}^{\infty}5(-3)^n

This corresponds with the option:

<u>summation of five times negative three to the power of n from n equals zero to infinity</u>

8 0
3 years ago
A number of runners enter a race. The times that each runner finished is based on every hour. Five runners finished the race in
Aleksandr [31]

The histogram for the data is given at the end of this answer.

<h3>What is an histogram?</h3>

An histogram is a graph that shows the number of times each element of x was observed.

In this problem:

  • The elements of x are given by the time in hours.
  • The histogram shows the number of runners that finished the race in x hours.

Hence, the graph given at the end of this answer is the histogram.

You can learn more about histogram at brainly.com/question/2962546

3 0
2 years ago
A house cast a 10 foot shadow. A 5 foot boy castsa 4 foot shadow.
krok68 [10]
11 feet I think, hope this helps
7 0
3 years ago
Lines A and B are parallel lines cut by a transversal. Find the value of x.
myrzilka [38]

Answer:12.33333333333

Step-by-step explanation:

8x - 2 = 14x - 76

74 = 6x

12.333 = x

4 0
2 years ago
A meeting room has 60 chairs. There are 5 chairs at each table. How many tables are in the room?
kherson [118]

Answer:

12 Tables.

Step-by-step explanation:

There are many ways you can solve this with, here is the simplest.

Lets make it as a statement, IF 1 table has 5 chairs THEN how many X tables have 60 chairs.

Make it simplier:

1 Table = 5 Chairs

X Tables = 60 Chairs

using the cross multiplication method you will get

5X = 60

Divide by 5

X = 12

Which means that the room has 12 tables.

4 0
3 years ago
Read 2 more answers
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