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asambeis [7]
3 years ago
15

A rectangle has a height of k2 + 3 and a width of k2 + 7.

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

The area of the rectangle in polynomial form is k^4 +10 k^2 + 21

Step-by-step explanation:

Given

Shape: Rectangle

Height: k^2 + 3

Width: k^2 + 7

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

Area = Length * Width

By substituting k^2 + 3 for height and k^2 + 7 for width; This gives

Area = (k^2 + 3)(k^2 + 7)

Expand the bracket

Area = k^2(k^2 + 7) + 3(k^2 + 7)

Open each bracket

Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7

Area = k^4 +7 k^2 + 3k^2 + 21

Area = k^4 +10 k^2 + 21

Hence, the area of the rectangle in polynomial form is k^4 +10 k^2 + 21

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Greta currently works 45 hours per week and earns a weekly salary of $729. She
marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0
2 years ago
How many more unit tiles need to be added to the expression x2+4x+3 in order to form a perfect square trinomial?
son4ous [18]

Answer:

(x-1)(x-3)

Step-by-step explanation:

It is not a perfect square trinomial but

6 0
3 years ago
Read 2 more answers
What is the value of x in the equation
Lera25 [3.4K]
The answer to that is 2
7 0
3 years ago
Solve.<br> 4 x + 6 &lt; − 6<br><br> Thankyou In advance :&gt;
andrew-mc [135]

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

6 0
3 years ago
what will come in the following series 20 25 23 28 26 31 29 34 _? answer is 31. please explain how?? urgent pls​
Assoli18 [71]

The series of numbers is adding 5 and then subtracting 2

20+5=25

25-2=23

23+5=28

28-2=26

and so on. Do you understand?

7 0
3 years ago
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