Welcome

Anti Essays offers essay examples to help students with their essay writing.

Sign Up

History Essay

Open Document

Below is an essay on "History" from Anti Essays, your source for research papers, essays, and term paper examples.

1. The length of a rectangular box is 2 units less than its width.
If the area of the box is 15 units square.
Find the perimeter of the box.
 
B. 16(Correct Answer) 
Explanation
These are the formulas for the box.
A= L x W
P = 2( L + W)
We know that the area is 15
15= L x W
Also,
L= W-2
Now we can use both formulas
(W)(W-2) = 15
W² - 2W= 15
W²- 2W-15= 0
(W-5) (W+3) = 0
W= 5 , W= -3
We can find the Length,
L = W-2 = 5- 2= 3
L= 3
Finally the perimeter:
P = 2( 3+ 5)
P = 2(8)
P= 16

  2. Evaluate the following expression
if X=-2, Y= 3, Z= -5
2X²-3Y-3Z
 
D. 14(Correct Answer) 
Explanation
2(-2)² -3(3) -3(-5) = 2(4) -9 +15 = 8-9 +15= 14

  3. Simplify:

 
C.  (Correct Answer)
 

Explanation
You need to simplify each exponent, since you are dealing with a square root you need to rewrite the exponents as even exponents.
a³ = a²a
b⁷= b⁶b
Z³ =Z²Z
Now you can divide the exponents by two:
ab³Z and the rest has to be inside the square root √(abZ)

  4. Multiply:

(3X -5)(2X+ 5) 
 
  5. Solve:
3(5X-1)<4(X-6) 
Explanation
3(5X-1)<4(X-6)
15X-3 < 4X -24
15X-4X < -24 + 3
11X < -21
X< -21/11

  6. Solve for X:
3(X-5)-4X = 6(X-10) -(X+ 5)
 Explanation
3X -15 -4X= 6X -60 -X- 5

-X -15= 5X -65
-6X= -65 +15
-6X= -50
X= -50/-6 = 25/3

  7. Translate the following sentence into an algebraic expression:
" The product of a number and six is three times the same number less than ten"

Explanation
The product means multiplication: 6 and X
is means equal sign =
three times the same number less than ten
10 -3X

  8. Simplify: -3(p-5p²) + 3p²-6P 

Explanation
-3p + 15p²+ 3p²-6p= 18p²-9p
 
  9. Which of the following equations passes through point  (-3,-16)

  10. -------------------------------------------------
Top of Form
  11. Bottom of Form
Explanation
Substituting the values in all the equations we get that the answer is
Y= 2X-10...

Show More


Citations

MLA Citation

"History". Anti Essays. 19 Dec. 2018

<http://parimatchstavki7.com/free-essays/History-187628.html>

APA Citation

History. Anti Essays. Retrieved December 19, 2018, from the World Wide Web: http://parimatchstavki7.com/free-essays/History-187628.html