Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts set y = 0, that is
- 2x² - 9x + 5 = 0
To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.
product = - 2 × 5 = - 10 and sum = - 9
The factors are - 10 and + 1
Use these factors to split the middle term
- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )
- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )
(x + 5)(- 2x + 1) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
- 2x + 1 = 0 ⇒ x = 
x-intercepts are x = - 5 and x =
Answer:
.29 (rounded from .285714)
Step-by-step explanation:
The population we are looking at is those who do not live in their hometown.
That total population on the table is 14 persons.
The relative frequency of those not graduating would be the 4 out of 14 people.
4/14 = .285714
This number represents the frequency of non resident people who do not graduate.
Answer:
The opening price of the stock in the beginning of the day was $4.
Step-by-step explanation:
To be able to calculate the price of the stock at the beginning of the day, you have to consider that the equation to calculate the final price is equal to the opening price multiply for the result of one plus the increase or decrease percentage, which is:
final price=opening price*(1+0.04)
Now, you know that the final price is $4.16, so you can replace this value in the formula and solve for the opening price:
4.16=opening price*1.04
opening price=4.16/1.04
opening price=4
According to this, the answer is that the opening price of the stock in the beginning of the day was $4.
Hello There!
The third missing length would be 68°
All sides of a triangle always add up to 180°
We take the two sides we do know, add them together and then subtract the two sides added together from 180°
There are eight students. Each student is competing for 1st, 2nd, 3rd and 4th violin chair. We will use permutation to solve this problem.
When we have 'n' items and we want to find the number of ways 'k' items can be ordered. Then we use the permutation formula which states:
Therefore,
=
= 
=
= 1680
Therefore, in 1680 different ways can all four chairs be filled.
