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2 years ago

A recent gallup study reported that firms with top engagement scores had _____ higher profitability.

Mathematics

1 answer:

Neko [114]2 years ago

7 0

A recent gallup study reported that firms with top engagement scores had 18% higher profitability.

<h3>What is gallup study?</h3>

Gallup defines engaged employees as those who are involved in, enthusiastic about and committed to their work and workplace.

The Gallup survey or study aims to identify the 12 elements of good management.

Gallup can run it for you, or you can manage it yourself.

It gives you information about you where you need to focus your effort and it's invaluable for building high-performing teams and positive, productive working environments.

Thus, a recent gallup study reported that firms with top engagement scores had 18% higher profitability.

Learn more about gallup study here: brainly.com/question/17116621

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Use the factor theorem to determine whether or not the first polynomial is a factor of the second

krok68 [10]

Answer/Step-by-step explanation:

Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.

Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.

1. x - 1; x² + 2x + 5

By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.

f(1) = 1² + 2(1) + 5

= 1 + 2 + 5

= 8

Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.

2. x + 1; x³ - x - 2

By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.

f(1) = -1³ - (-1) - 2

= -1 + 1 - 2

= -2

Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.

3. x - 4; 2x³ - 9x² + 9x - 20

By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.

f(4) = 2(4)³ - 9(4)² + 9(4) - 20

= 128 - 144 + 36 - 20

= 0

Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.

4. a - 1; a³ - 2a² + a - 2

By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.

f(1) = 1³ - 2(1)² + 1 - 2

= 1 - 2 + 1 - 2

= -2

Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.

5. y + 3; 2y³ + y² - 13y + 6

By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.

f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6

= -54 + 9 + 39 + 6

= 0

Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.

7 0

3 years ago

7/12 + 3/4 in simplest form?

Mariulka [41]

Well first we have to add 7/12 and 3/4 together which is 7/12+3/4=4/3. Now we have to reduce that to simplest form. Which would be 1 1/3 is 7/12+3/4 in simplest form!

4 0

4 years ago

Read 2 more answers

Which set of ordered pairs represents a function?

mel-nik [20]

The one that doesn't have an "x" repeated, that is an X-REPEAT
notice, the pair is just an x,y pair.. .so if the "x" is repeated, is NOT a function

let's see

$\bf \{(2, -2), (\boxed{1}, 5), (-2, 2), (\boxed{1}, -3), (8, -1)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)\}\\\\
\{(6, 8), (5, 2), (\boxed{-2}, -5), (1, -3), (\boxed{-2}, 9)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(\boxed{-3}, 1), (6, 3), (\boxed{-3}, 2), (\boxed{-3}, -3), (1, -1)\}\impliedby \textit{an "x" rep}eated$

6 0

3 years ago

Read 2 more answers

SHOW YOU WORK AND EXPLAIN PLS I WILL MARK YOU BRAINLIEST PLEASE.

KatRina [158]

Answer:

a) 1.8 $cm^2$

b) 3.6 $feet^2$

Step-by-step explanation:

Conversion and calculation of areas

The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard

We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is

A=(0.5)(0.6)=0.3 $cm^2$

Assuming there is no overlapping, the 6 stickers have a total area

6*0.3 $cm^2$ =1.8 $cm^2$

Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have

long=2/5*3=1.2 feet

wide=1/4*3=0.75 feet

Area of each paper=1.2 feet*0.75 feet=0.9 $feet^2$

Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 $feet^2$

Area of board=3.6 $feet^2$

7 0

3 years ago

Kayla filled a bucket with 4 gallons of Water , she dumped exactly 1.o34 gallons . How much water is left in the buckets ?

yKpoI14uk [10]

4 - 1.034 = 2.966
There would be 2.966 gallons of water left in the bucket.

I hope this helps!

4 0

3 years ago