Show or explain how to solve the equation for x: 7x = 3

let x = number of people

question states if the number of people are below 200 he gets the minimum fee

f = x<200

The correct equation matches the set of ordered pairs of functions:

C.f (0) = 6

Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B

So, one value of x is only assigned to one value of y

or it has only one relationship for each input value

A function can be expressed in the form of a cartesian diagram, the set of ordered pairs, or arrow diagram

If y is a function of x, then y = f (x)

where x is the independent variable and y is the dependent variable

x is the domain and y is the result area or range

A function can be write as ordered pair

Ordered pairs because we write the input first, and then the output

Can be described in form

or

[tex]\large{\boxed{\bold{(x,f (x))}}[/tex]

So A function can be formed as a set of ordered pairs:

For example a set of ordered pairs

input values ​​(as domain) 2,3,4

output values ​​(as range) 4,5,6.

We complete the questions  with answer choices :

The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

Let see  the answer choices :

values ​​x = -10, f (x) = y = 1, ordered pairs (-10,1)

values ​​x = 2, f (x) = y = -10, ordered pairs (2, -10)

value x = 0, f (x) = y = 6, ordered pairs (0.6)

values ​​x = 1, f (x) = y = -10, ordered pairs (1, -10)

So the answer choices that correspond to the set of ordered pairs of functions above are choices C.f (0) = 6

F (x) = x2 + 1 g (x) = 5 - x

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the inverse of the function f (x) = 2x-10

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domain of the function

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Keywords: domain, function, the set of ordered pairs, input, output

The function [tex]f\left( x \right)[/tex] is given by the ordered pair [tex]\boxed{\left( {0,6} \right)}[/tex] or [tex]\boxed{f\left( 0 \right) = 6}.[/tex]

Further explanation:

In the interval [tex]\left( {x,y} \right)[/tex] the first value represents the [tex]x[/tex] and the second value is [tex]y[/tex].

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Given:

The options are as follows,

(a). [tex]f\left( { - 10} \right) = 1[/tex]

(b). [tex]f\left( 2 \right) =  - 10[/tex]

(c). [tex]f\left( 0 \right) = 6[/tex]

(d). [tex]f\left( 1 \right) =  - 10[/tex]

Explanation:

The sets of ordered pairs are [tex]\left( {1,0} \right), \left( { - 10,2} \right), \left( {0,6} \right), \left( {3,17} \right), \left( {-2,-1} \right)[/tex]

The x values are 1, -10, 0, 3 and -2.

The values of the function are 0, 2, 6, 17 and -1.

Option (a) is not correct.

Option (b) is not correct.

Option (c) is correct.

Option (d) is not correct.

The function [tex]f\left( x \right)[/tex] is given by the ordered pair [tex]\boxed{\left( {0,6} \right)}[/tex] or [tex]\boxed{f\left( 0 \right) = 6}.[/tex]

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: ordered pairs, (1,0), function, (-10,2), (0,6), (3,17), (-2,-1), linear function, relation table, same relation, set, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.

To solve the inequality x² ≥ 49, take the square root of both sides and consider both positive and negative roots. The solutions are x ≤ -7 or x ≥ 7.

To solve the inequality x² ≥ 49, we need to consider the values of x that satisfy this condition. Let's break it down step-by-step:

Step-by-Step Explanation

x² ≥ 49. To solve this, we can take the square root of both sides of the inequality. Remember, when taking the square root of both sides, we must consider both the positive and negative roots.

Solve for x: |x| ≥ √49.

Since √49 = 7, the inequality becomes: |x| ≥ 7.

This implies x can be greater than or equal to 7 or less than or equal to -7.  

Therefore, the solution is: x ≤ -7 or x ≥ 7.

In interval notation, this solution is written as: x ∈ (-∞, -7] ∪ [7, ∞).

Answer:

it's -8

Step-by-step explanation:

Answer:

They can paint 1050 sq.feet with 3 gallons of paint

Step-by-step explanation:

Given :Stacy and Neil painted 280 ft2 of there living room wall with 4/5 gallon of paint.

To Find : How many square feet can they paint with 3 gallons of paint?

Solution :

Area painted with [tex]\frac{4}{5}[/tex] gallons of paint = 280

Area painted with 1 gallon of paint =[tex]\frac{280}{\frac{4}{5}} = 350 ft^2[/tex]

Area painted with 3 gallons of paint =[tex]350 \times 3 = 1050 ft^2[/tex]

Hence they can paint 1050 sq.feet with 3 gallons of paint

The inequality will be;

⇒ 9 ≥ 15 - x

Where, x  is a number.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The expression is,

''Nine is greater than or equal to 15 minus a number''

Now,

Let a number = x

So, We can formulate;

The inequality for the given expression is,

⇒ 9 ≥ 15 - x

Thus, The inequality will be;

⇒ 9 ≥ 15 - x

Where, x  is a number.

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The percentage of fruit is there in the cake will be 11%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Mass of cake = 2.5 kg

And, The amount of fruit = 275 g

Now,

Find the percentage of fruit is there in the cake as;

Since, Mass of cake = 2.5 kg

                               = 2,500 g

And, The amount of fruit = 275 g

So, The percentage of fruit = 275 / 2,500  x 100

                                          = 0.11 x 100

                                          = 11%

Thus, The percentage of fruit is there in the cake will be 11%.

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36.50/2 = 18.25 per hour

18.25 *4 = 73

18.25 * 5 =91.25

18.25 *8 = 146

The ratio of peas in Daphne's bowl to peas in her hair will be;

⇒ 12 : 7

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

There are 12 peas left in Daphne's bowl and 7 peas squished in her hair.

Now,

Since, There are 12 peas left in Daphne's bowl and 7 peas squished in her hair.

Hence, The ratio of peas in Daphne's bowl to peas in her hair will be;

⇒ Ratio = Number of peas in bowl / Number of peas in her hair

            = 12 / 7

            = 12 : 7

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