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3 years ago

The work in an office takes 150 hours to complete every week each person in the group does work for 32 hours.

Mathematics

1 answer:

IrinaK [193]3 years ago

3 0

Answer:

5 people

If it takes 150 hours, and each person does it for 32 hours, you divide 150 by 32. You get 4.6875. Since you can't have .6875 people, you have to round up to 5. Hope this helps.

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Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre

Dmitry_Shevchenko [17]

The domain and inverse of the function

$r(x) = \frac{11}{(x - 4)^2}$ is

Domain = $\mathbb{R} - \{4\}$ ,

$r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

$r(x) = \frac{11}{(x - 4)^2}$

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = $\mathbb{R} - \{4\}$ ,

Where $\mathbb{R}$ is the set of all real number

Let r(x) = y

$\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}} +4$

$r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

To learn more about function, refer to the link:

brainly.com/question/22340031

#SPJ4

3 0

1 year ago

25p+1t=51 solve for t

irga5000 [103]

Answer:

t = 51 - 25p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

25p + 1t = 51

Step 2: Solve for t

[Subtraction Property of Equality] Subtract 25p on both sides: 1t = 51 - 25p
Simplify: t = 51 - 25p

5 0

3 years ago

Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. V

alexandr402 [8]

of the task , we know that :

profit netto = $ 6100
influenza students = 7
hourly rate for one lesson of the French language = $45

we do not know about

profit brutto = ? denoted as x

the amount collected lessons
for one student = ? denoted as y

x = $6100 + $200
 $y = \frac{x}{45*7}$

 $\left \{ {{x=6300} \atop {y= \frac{6300}{315} =2}} \right.$

2 away

 $y = \frac{6100 + 200}{45 * 7} = 2$

4 0

3 years ago

(with solution)

Lunna [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

(1)

Here m = 6 and b = - 2, then

y = 6x - 2

(2)

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Here m = - 2 and b = 5, then

y = - 2x + 5 ← equation in slope- intercept form

Add 2x to both sides

2x + y = 5 ← equation in standard form

(3)

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)

m = $\frac{-3+13}{-4-6}$ = $\frac{10}{-10}$ = - 1 , then

y = - x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (- 4, - 3 ) , then

- 3 = 4 + b ⇒ b = - 3 - 4 = - 7

y = - x - 7 ← equation in slope- intercept form

Add x to both sides

x + y = - 7 ← equation in standard form

8 0

3 years ago

A gym's membership cost $280 in 2019. Now, it is $160. Which expression equals the percent of change?

kherson [118]

Answer:

1/2%

Step-by-step explanation:

4 0

3 years ago