You have 2x^2 + 9x -9 and 3x^2 -2x +14
To find total area add the two polynomials together by combining the like terms.
2x^2 + 3x^2 = 5x^2
9x + -2x = 9x-2x = 7x
-9 + 14 = 5
Total area = 5x^2 + 7x + 5
Answer:
Hypotenuse
Step-by-step explanation:
For this problem you are given the vertical and horizontal sides of the triangle. The flagpole (6.5 meters) is the up-and-down triangle side and the distance from the hook to the flagpole is the base (5.2 meters) of the triangle.
Hope this helps!
Answer:
Total Commission = $400
Step-by-step explanation:
Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.
<u>Total commission</u> = 4% of 8000 + 8% of 1000
= (0.04)(8000) + (0.08)(1000)
= 400
Total Commission is $400
Answer:
x = -
, x = 
Step-by-step explanation:
to find the points of intersection equate the 2 equations , that is
7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )
6x² - 5x - 25 = 0 ← factor the quadratic on left side
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 25 = - 150 and sum = - 5
the factors are - 15 and + 10
use these factors to split the x- term
6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term
(2x - 5)(3x + 5) = 0
equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - 
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 