Please answer fast and correctly.

Write a function to represent the set of ordered pairs.

salantis [7]

Answer:

option B) f(x) = x³ - 3

Step-by-step explanation:

we know that

If the function represent the set of ordered pairs, then the ordered pairs, must be satisfy the function

<u><em>Verify each function</em></u>

case A) f(x) = -2x

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=-2(2)=-4$

$-4\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

case B) f(x) = x³ - 3

Verify (1,-2)

For x=-1 ---> $f(1)=1^{3}-3=-2$ ---> is ok

Verify (2,5)

For x=-2 ---> $f(2)=2^{3}-3=5$ ---> is ok

Verify (3,24)

For x=3 ---> $f(3)=3^{3}-3=24$ ---> is ok

Verify (4,61)

For x=4 ---> $f(4)=4^{3}-3=61$ ---> is ok

so

the ordered pairs satisfy the function

therefore

The function represent the set of ordered pairs

case C) f(x) = x² - 3

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=2^2-3=1$

$1\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

case D) f(x) = 5x² - 7

verify the ordered pair (2,5)

For x=2

substitute the value of x in the function and then compare the result with the y-coordinate of the ordered pair

$f(2)=5(2)^2-7=13$

$13\neq 5$

the ordered pair not satisfy the function

so

The function nor represent the set of the ordered pairs

3 0

3 years ago

Patty counted 250 chocolate chips on a tray of cookies. The actual amount of chocolate chips on the tray were 265. What is the p

andrey2020 [161]

Answer:

percent error=6%

Step-by-step explanation:

Step one:

given data

Patty counted 250

The actual amount of chocolate chips on the tray were 265

Required

The percent error

Step two:

The formula is

percent error= actual-expected/expected*100

percent error= 265-250/250*100

percent error=15/250*100

percent error=0.06*100

percent error=6%

3 0

3 years ago

Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and th

Flauer [41]

Answer:

Step-by-step explanation

Using the pythagoras theorem;

Given

The length of the flag pole = 8 feet = opposite side

Length of the rope = 10 feet = hypotenuse

To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation

hyp² = opp² + adj²

10² = 8² + adj²

adj² = 100-64

adj² = 36

adj = √36

adj = 6feet

Hence the rope should be placed 6feet out of the ground

4 0

3 years ago

on a certain day the temperature in seattle was -1 and the temperature in houston was 18 how many degrees lower was the temperat

Schach [20]

The temperatur in settle was 18 - (-1) = 18 + 1 = 19 degrees lower

8 0

3 years ago

Lea and her father arrived at the scenic overlook 15 minutes before noon and left 12 minutes after noon using am or pm write the

Aneli [31]

Answer:

They arrived at am and left at pm

Step-by-step explanation:

What do you need to find?

We need to find the time when Lea and her father arrived at the scenic overlook and the time when they left.

What do you need to find first?

First we need to find the exact minutes they arrived and left. Then we have to determine whether it was am or pm

Steps:

1. Noting the time they arrived

They arrived 15 minutes before noon

2. Determining whether it was am or pm

Noon is 12 pm by convention

Midnight is 12 am by convention

3. Calculating the minutes for exact time

Each hour has 60 minutes:

60 - 15 = 45

4. Determining the time(am or pm) after subtracting 15 minutes

which means they arrived at 11:45 am (am is used for time before 12 at noon)

5. They left 12 minutes after the noon:

Noon time is 12 pm

6. Adding 12 minutes to 12pm

The exact time becomes 12:12pm

4 0

3 years ago