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Inessa05 [86]
3 years ago
13

A company recently downsized its number of employees by 30%. If there are still 84 employees, how many employees were there prio

r to the layoffs?
Mathematics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

There were 120 employees prior to the layoffs.

Step-by-step explanation:

x is original amount of employees

0.7x=84

divide by 0.7 both sides

x=120 employees

downsize 30% is 36, 120-36=84

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What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
4 years ago
Read 2 more answers
GIVING BRAINLIEST + STARS <br><br><br> I know A to B is 20m/s but what is C to D?
Setler79 [48]

Answer:

See below ↓↓

Step-by-step explanation:

<u>A to B</u>

  • Avg. speed = Distance covered / Time taken
  • Avg. speed = 200 m / 10 s
  • Avg. speed = <u>20 m/s</u>

<u></u>

<u>C to D</u>

  • Avg. speed = Distance covered / Time taken
  • Avg. speed = (500 - 200) m / (60 - 30) s
  • Avg. speed = 300 m / 30 s
  • Avg. speed = <u>10 m/s</u>
3 0
3 years ago
11.MARTIAN FINDS A SHIRT ON SLAE FOR 10% OFF AT A DEPARTMENT STORE. THE ORIGINAL PRICE WAS $20.Martain must also pay 8.5% sales
Snowcat [4.5K]
A. Find 10% of $20, which is $2. Then subtract the sale 20-2, which is $18
B. Since you know the price without taxes is $18, you have to multiply 8.5% of 18, which is $1.53. $18.00 + $1.53= $19.53

So the answer is $19.53


Hope this helped
5 0
3 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
babunello [35]

Answer:

x + 6

Step-by-step explanation:

Edit:

A moderator mentioned my answer had a mistake: turned out the question posted was incomplete. The complete question should read:

"

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 6

x – 3

x + 1

x + 6

"

As shown in the same graph, f(x) cross the x-axis at x = -6, -3 and 0.

When a polynomial crosses the x-axis at x = a, (x - a) must be a factor.

So (x + 6), (x + 3) and x are factors of f(x).

Of the options, the correct answer is x + 6.

The complete question with verified answer is here: brainly.com/question/3875529

6 0
2 years ago
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What is 3,790-2,580 +25
Nat2105 [25]
The aanswer is 1,235
3 0
4 years ago
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