Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
Answer:
32.5
Step-by-step explanation:
d
Answer:
She should expect 165 jewelry pieces to be damaged.
Step-by-step explanation:
5,500/500 = 11
11 x 15 = 165
Like terms are terms that have the same variable no matter the coefficient value such as a negative or positive coefficient (number right to left of the variable aka the letter representing an unknown amount of value).
A. 8n : - 4n becuase the have the same variable (N)
B. - 2d: D because they have the same variable and even if d has no coefficient, it still has value, variables with no coefficient always equal 1 no matter the circumstances
C. - b: 17b and -3b2 because they both have the same variable eliminating the coefficients being two different types of numbers (positive and negative). The expressions have to have the same variable.
D: 4y², -3y2,4y, and 4 to the second power. This is because they all have the same variable.
E. 6x2y: 3xy because the variable are specifially xy and they must be in order to be like terms.
abc: all because they have all the letters but are just in different orders of variables. (thats all)
Answer:
A line parallel to this line would have a slope of 2/3
A line perpendicular to this line would have a slope of -3/2
Step-by-step explanation:
