22% = 22/100
22/100 * 14.50 = 3.19 (this is the amount discounted off original price)
14.50 - 3.19 = $11.31
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
Answer a = 5 and b = 2.
Procedure
Initially means x = 0, then
5 = a*b^0 = a*1 = a, then a = 5
When x = 1, the height is the double of 5, i.e 10 and
10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2
The a = 5 and b = 2, so the equation is y =5(2)^x
The number of hardback books that are on the bookshelf is 29 books.
- Let the total number of books be T.
- Let the number of hardback books be H.
- Let the number of paperback books be P.
<u>Given the following data:</u>
- Total number of books = 36 books
To determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:

The number of hardback books is 15 more than <u>twice</u> the number of paperback books:

Substituting the given parameters into the formula, we have;

P = 7 books
For number of hardback books:

H = 29 books
Read more on word problem here: brainly.com/question/24604067