The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?

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 35 because my math teacher told me

Step-by-step explanation:

Answer:

The theoretical probability of picking a green marble is 0.55.   Step-by-step explanation:

Given : A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random.

To find : What is the theoretical probability of picking a green marble?

Solution :

Theoretical probability is defined as the number of favorable outcome divided by total number of outcome.

Yellow Marble = 20

Green Marble = 55

Purple Marble = 25

Total Number of marble = 20 + 55 + 25 = 100

Let G be the event of getting green marble.

So, Favorable outcome = 55

Theoretical probability of picking a green marble is

[tex]P(G)=\frac{55}{100}[/tex]

[tex]P(G)=\frac{11}{20}[/tex]

[tex]P(G)=0.55[/tex]

Therefore, The theoretical probability of picking a green marble is 0.55.

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

Learn more about the ratio visit:

https://brainly.com/question/169670

#SPJ2

36.50/2 = 18.25 per hour

18.25 *4 = 73

18.25 * 5 =91.25

18.25 *8 = 146

Answer:

it's -8

Step-by-step explanation:

Answer:

31x^2 - 2

Step-by-step explanation:

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

https://brainly.com/question/2723982

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

https://brainly.com/question/628130

domain of the function

https://brainly.com/question/4135536

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.

Answer:

On Apex Learning, the correct answer is C.

Step-by-step explanation:

let x = number of people

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

f = x<200