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
So if the regular price of an item is 25 and the store is marking it up by 40%, then we have to multiply 25 by .4 to find out what 40% of 25 dollars is. 40% of 25 is 10 dollars. So now you just do 25 + 10 and you get 35. Answer: $35
Answer:
20.6
Step-by-step explanation:
Since the diameter of each circle is 4, the dimensions of the rectangle is 8x12
The area of the whole rectangle is 96
Now we need to find the area of the circles
The area of 1 circle is 
...
So the area of all 6 circles is 12.56*6= 75.39...
So to find the area of yellow you have to subract the area of circle from the overall area of the rectangle
96-75.4=20.6
There are 120 ways to color the 4 rectangles
<h3>How to determine the number of ways?</h3>
The given parameters are:
Paints, n = 5
Rectangles, = 4
The number of ways to color the rectangles is
This gives
Apply the permutation formula
Evaluate the expression
Ways = 120
Hence, there are 120 ways to color the 4 rectangles
Read more about permutation at:
brainly.com/question/1216161
#SPJ1
When multiplying exponents with same base you need to add the exponents so 1/3 plus 2/3 is 3/3 which is 1 so the answer is w to the power of 1 which is w
