Answer:
a = 3
Step-by-step explanation:
Factor both expressions
x² - x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are - 3 and + 2 , since
- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus
x² - x - 6 = (x - 3)(x + 2)
-----------------------------------
x² + 3x - 18
consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , thus
x² + 3x - 18 = (x + 6)(x - 3)
Both expressions have a common factor of (x - 3)
Compare with (x - a ), then a = 3
Answer:
25%
Step-by-step explanation:
We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.
Answer:
B 2124
D 1416
Step-by-step explanation:
Take the ratio
A B C D Total
3 6 8 4 21 (3+6+8+4 = 21)
B gets 6 out of every 21 items
Take that fraction times the total items
6/21 * 7434 = 2124
D gets 4 out of every 21 items
Take that fraction times the total items
4/21 * 7434 = 1416
Answer:
-1/2 dont forget the negative!!!
Step-by-step explanation:
pull out like terms
