Which point satisfies both f(x) = 2* and g(x) = 3?

Please help me !!!!!!

cestrela7 [59]

Given:

The set of pair and graphs.

To find:

The domain and range.

Solution:

We know that,

Domain is the set of x-values or input values.

Range is the set of y-values or output values.

(a)

The given set of ordered pairs is

{(-3,3),(5,5),(-3,2),(5,3)}

Here, the x-coordinates are -3, 5, -3, 5.

A set contains distinct values.

Therefore, the domain is {-3,5}.

(b)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,1),(-1,0.5),(-1,3),(0,0),(0,2),(1,0.5),(1,3)(2,1)}

Here, the y-values are 1, 0.5, 3, 0, 2, 0.5, 3, 1.

Therefore, the range is {0, 0.5, 1, 2, 3}.

(c)

The graph is given.

From the given graph the set of ordered pairs is

{(-2,3),(-1,3),(0,1),(2,4)}

Here, the x-values are -2, -1,0, 2.

Therefore, the domain is {-2,-1,0,2}.

4 0

3 years ago

Maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4

allsm [11]

The maximum value of the objective function is 31.787

<h3>How to maximize the function?</h3>

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2, y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y = 25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y = 25

21x + 7x + 7 = 25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

Read more about maximum functions at:

brainly.com/question/14381991

#SPJ1

6 0

2 years ago

A point has coordinates A(-3, 5). Find the coordinates of its image if it's translated by (x - 2, y + 1)

garri49 [273]

The answer is A. (-5,6)

6 0

3 years ago

Which of the following phrases can be written as the algebraic expression 76−(x+3) ?

lapo4ka [179]

The correct answer should be E, The sum of a number and three subtracted from seventy-six.

“A number” represented by x, is added to 3, and is therefore labeled a sum.
(x+3)
This sum is then subtracted from 76.
76-(x+3)

4 0

3 years ago

The function f(x)= 3(1.4)' gives the length (in inches) of an image after being enlarged by 10% x times.

kondaur [170]

Answer:

3.99 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

The function f(x) = 3(1.1)^x gives the length (in inches) of an image after being enlarged by 10% x times.

What is the length of the image after it has been enlarged 3 times? Round your answer to the nearest hundredth

we have

$f(x)=3(1.1)^x$

This is a exponential growth function

where

f(x) represent the length (in inches) of an image

x is the number of times the image is enlarged

so

For x=3

substitute in the exponential equation

$f(x)=3(1.1)^3=3.99\ in$

4 0

3 years ago