Answer:
The answer to your question is below
Step-by-step explanation:
Data
1.- f(x) = 5x³ - 31x² - 129x + 27
a) f(9) = 5(9)³ - 31(9)² - 129(9) + 27
f(9) = 5(729) - 31(81) - 1161 + 27
f(9) = 3645 - 2511 - 1161 + 27
f(9) = 0
b.- I will use synthetic division
5 - 31 -129 + 27 9
45 126 -27
5 14 -3 0
Trinomial = 5x² + 14x - 3
Factor 5x² + 15x - 1x - 3
5x(x + 3) - 1(x + 3)
b) (x + 3)(5x - 1)
x₂ + 3 = 0 5x₃ - 1 = 0
x₂ = -3 x₃ = 1/5
c) The roots are x₁ = 9, x₂ = -3 and x₃ = 1/5
2.- f(x) = 3x² + 2x - 8 factor = 3x - 4
x + 2
3x - 4 3x² + 2x - 8
-3x² + 4x
0 +6x - 8
-6x + 8
0 Remainder
As the remainder was "0", 3x - 4 is a factor of 3x² + 2x - 8
Answer:
The joint probability distribution of X and Y is shown below.
Step-by-step explanation:
The distributions of X and of Y are described as follows:
X : 0 1
P (X) : 0.23 0.77
Y : 1 2 3
P (Y) : 0.40 0.22 0.38
It is provided that X and Y are independent.
That is:
P (X ∩ Y) = P (X) × P (Y)
Compute the joint probability distribution of X and Y as follows:

X 0 1
<u>Y </u>
1 0.9200 0.3080
2 0.0506 0.1694
3 0.0874 0.2926
Answer:
your answer is x >18
Step-by-step explanation:
Jahsiah's mistake was he added 9 to both sides of the equation. He should have subtracted 9 from both sides of the equation.
Here's the solution
-2x+9<-27
-9 -9
-2x/-2x<-36/-2x
when u divide by negative in inequalities, u change the sign. So ur correct answer is x>18
hope this helped.
Answer: Loss = Rs. 416
Step-by-step explanation:
Since CP is more than SP, it is a loss.
Loss = CP - SP
Loss = 9000 - 8584
Loss = 416
This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.