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Kipish [7]
3 years ago
12

The salaries of three employees are listed below. Each employee was recently given a raise. Employee Salaries

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
D) $4,779

   Jane:   $41,200 X 4% = $1648.00
   John:   $43,300 X 4.5% = $1948.50
<u>+ Jack:   $39,400 X 3% = $1,182.00
</u>                                         $4,778.5  (Rounded up = $4,779)
<u>
Hope this helped! :)</u>
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3. Multiply the polynomials (a2 + 3a – 4) and (2a2 – a + 5). Simplify the answer. Show your work.
Crazy boy [7]

The product of given polynomials is:

2a^4+5a^3-6a^2+19a-20

Step-by-step explanation:

Distributive multiplication will be sued to multiply the given polynomials

Given expressions are:

a^2+3a-4\\and\\2a^2-a+5

So,

(a^2+3a-4)(2a^2-a+5)\\= a^2(2a^2-a+5)+3a(2a^2-a+5)-4(2a^2-a+5)\\=2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20

Combining like terms

2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-20

Hence,

The product of given polynomials is:

2a^4+5a^3-6a^2+19a-20

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/4639731
  • brainly.com/question/4655616

#LearnwithBrainly

7 0
4 years ago
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(
alekssr [168]
(f - g)(x) = (3x² + 1) - (1 - x)
              = 3x² - x
                 OR
              = x(3x - 1)
3 0
3 years ago
Read 2 more answers
Find the next two numbers in the sequence 5,2,-1,…
Nataly_w [17]

Answer:

The answer is (-4) and (-7).

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a₁ = 5
  • a₂ = 2
  • a₃ = (-1)
<h3><u>To </u><u>Find</u>;</h3>
  • a₄ = ?
  • a₅ = ?
<h3><u>Formula</u>;</h3>
  • aₙ = a + (n – 1) × d

Now, for common difference (d)

d = a₂ – a₁ = 2 – 5 = -3

d = a₃ – a₂ = (-1) – 2 = -3

Here, common difference is same everywhere.

So, for fourth term or n = 4

aₙ = a + (n – 1) × d

a₄ = 5 + (4 – 1) × (-3)

a₄ = 5 + 3 × (-3)

a₄ = 5 – 9

a₄ = -4

Then, for fifth term or n = 5

a₅ = 5 + (5 – 1) × (-3)

a₅ = 5 + 4 × (-3)

a₅ = 5 – 12

a₅ = -7

Thus, The fourth term is (-4) and fifth term is (-7).

5 0
2 years ago
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail
sergey [27]

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

4 0
3 years ago
Read 2 more answers
The sum of 6 consecutive even numbers is 126.<br> What is the fourth number in this sequence?
lilavasa [31]

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

4 0
3 years ago
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