−2x−8y=10

Write a function to represent the set of ordered pairs.

77julia77 [94]

Answer:

Option C $f (x) = x^ 2 - 2$

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

$y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9$

Therefore the relationship is not linear.

However, the exchange rate $y_n- y_{n-1}$ increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

$y = x ^ 2$

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is $y = x ^ 2$ then the function that contains the ordered pairs of the B set is:

$y = x ^ 2 -2$

The correct option is option C) $f (x) = x^ 2 - 2$

8 0

3 years ago

What is slope-intercept form of a line that passes through points (2,11) and (4,17)?

kramer

Answer:

y = 3x + 5

Step-by-step explanation:

Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1

so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,

y = 3x + b, I chose your first pair

11 = 3 x 2 + b

equals to,

11 = 6 + b

now we want b, by itself.

5 = b

so the total intercept form answer is

y = 3x + 5

I will check over it,

11 = 3 x 2 + 5

11 = 11

I hope this helped!

6 0

3 years ago

Jenna is making hamburgers. She puts sauce on every 2nd burger, pickles on every 3rd burger, and onions on every 5th burger.How

kotykmax [81]

Answer:

3

Step-by-step explanation:

find the lowest common multiple of 2, 3, and 5.

That is 30.

So every 30th burger will have all 3 condiments.

100/30 = 3 and 10 left over.

We only care about the 3

3 0

3 years ago

You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

olga_2 [115]

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

#LearnwithBrainly

5 0

3 years ago

Find the measure of angle A

AVprozaik [17]

Answer: The answer is 35 degrees

5 0

3 years ago