Answer:
x = ± 2, x = 3
Step-by-step explanation:
note that x = 2 gives
2³ - 3(2)² - 4(2) + 12 = 8 - 12 - 8 + 12 = 0
Hence x = 2 is a root and (x - 2) is a factor
x³ - 3x² - 4x + 12 ÷ (x - 2)
= (x - 2)(x² - x - 6)
= (x - 2)(x + 2)(x - 3), hence
(x - 2)(x + 2)(x - 3) = 0
equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Solution :
To claim to be tested is whether "the mean salary is higher than 48,734".
i.e. μ > 48,734
Therefore the null and the alternative hypothesis are

and 
Here, n = 50

s = 3600
We take , α = 0.05
The test statistics t is given by


t = 2.15
Now the ">" sign in the
sign indicates that the right tailed test
Now degree of freedom, df = n - 1
= 50 - 1
= 49
Therefore, the p value = 0.02
The observed p value is less than α = 0.05, therefore we reject
. Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.
Answer:
(8,-1)
Step-by-step explanation:
Given : 

To Find: solution of given system of equations.
Solution:
Equation a : 
Equation b : 
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:







⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒ 
for x = -1
⇒ 
⇒ 
⇒ 
Thus (x,y)=(-1,8)
For x =8
⇒ 
⇒ 
⇒ 
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
Answer:
1. 30
2. 150
3. obtuse
4. acute
5. Adjacent
Step-by-step explanation: