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
To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of 
.
Outcomes and probabilities:
0 defects, 9/10 probability
1 defect, 1/20 probability
2 defects, 1/25 probability
3 defects, 1/100 probability.
Expected value:
Dividing both numerator and denominator by 4:
Thus, the expected value of defects on a skateboard is of .
A similar problem is given at: brainly.com/question/23156292.
Answer:
The value of x that makes the equation equal to 0 is -2.
Step-by-step explanation:
In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.
f(x) + g(x) = (f+g)(x)
(x^2 - 2x) + (6x + 4) = (f+g)(x)
x^2 + 4x + 4 = (f+g)(x)
Now, in order to find when this is equal to 0, we need to factor.
x^2 + 4x + 4 = 0
(x + 2)(x + 2) = 0
When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.
x + 2 = 0
x = -2
Answer:
10
Step-by-step explanation:
The . 8 would round up making the 9 a 10
So the answer is ten
