16) Please help With this Question. WILL MARK BRAINLIEST!!! + 10 POINTS!!!!

What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?

love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k = -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0

3 years ago

David had a coupon for the grocery store. He graphed on the x-axis what his total bill would be if he didn’t use the coupon and

vladimir2022 [97]

Answer:

68$ Is your answer

Step-by-step explanation:

Hope this helps

6 0

3 years ago

Read 2 more answers

the utility industry has 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f

Aleksandr-060686 [28]

Answer: 7%

Step-by-step explanation:

Given: Initial jobs = 428.5 thousand

Average rate of declining of jobs from 2010 to 2020 = 3 thousand jobs per year

From 2010 to 2020 , there are 10 years.

Total jobs declines till 2020 = 10 x (3 thousand)

= 30 thousand (Change in jobs)

Now, utilities percent change for 2010 to 2020 : $\dfrac{change \ in \ job\ numbers}{Initial\ jobs}\times 100$

$=\dfrac{30}{428.5}\times100\\\\\approx7.00\%$

Utilities percent change for 2010 to 2020 = 7 %

7 0

4 years ago

Arlene writes this problem:

irina1246 [14]

Answer:

number 3 or 6 ^w^

your welcome for the help

7 0

3 years ago

Rita started the day with r apps then she deleted 5 apps and still had twice as many apps as Cora has .write and an equation tha

Elodia [21]

Answer:

r - 5 = 2c

r = 75

Step-by-step explanation:

To write an equation for the problem, we first need do declare the value of the number of apps cora has.

Let c = Cora's apps

r - 5 = 2c

r - 5 is used to indicate that Rita deleted 5 apps.

2c is used to represent the twice the number of apps Cora has.

Now you said that Cora had 35 apps.

Let's plug that into the equation.

r - 5 = 2c

r - 5 = 2(35)

r - 5 = 70

Now we transpose the -5 to the other side to leave r.

r = 70 + 5

r = 75

So if Cora has 35 apps, then Rita will have 75 apps.

3 0

3 years ago