Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
Answer:
CP= SP*100\100+profit percent
CP=SP*100/100-loss percent
Step-by-step explanation:
i hope you have understood
Answer:
Number of random samples = 962598
Step-by-step explanation:
A random sample represents the responses for a certain survey of a part of the population.
A sample size is the part of the population being surveyed.
For a population 
the number of different random samples that can be chosen for a sample size 
can be calculated as = 
This can be calculated as :
Given:
Population size = 43
Sample size = 5
Number of random samples = 
⇒ 
⇒ 
⇒ 
[Canceling out the common terms]
⇒ 
(Answer)
Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
