Answer:
Factor this polynomial:
F(x)=x^3-x^2-4x+4
Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).
The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at
x = 1, x = 2 and x = -2. This means that
x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)
A = 1, as you can see from equation the coefficient of x^3 on both sides.
Typo:
The rational roots can be
+/-1, +/-2 and +/-4
Step-by-step explanation:
Answer:
Hi, so if I remember correctly, you find both parts of the figure using the area formula for each shape and then add them together. Then if you have correct math you should have your answer.
Step-by-step explanation:
1. Take 4 times 11 because you use base times height- that should be 44
2. Then take one half times 14 times 8( one half times the base times the height)
3. Add both of the answers of 1 and 2 and that should be the answer
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
Answer:
B. There is no solution.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 9x + 5
y = -x + 11x + 29
<u>Step 2: Simplify systems</u>
y = 10x + 5
y = 10x + 29
<u>Step 3: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 10x + 5 = 10x + 29
- Subtract 10x on both sides: 5 ≠ 29
Here we see that 5 does not equal 29.
∴ The systems has no solutions.
<u>Step 4: Graph systems</u>
<em>Check the solution set (if applicable).</em>
We see that the 2 lines are parallel and will never intersect. Therefore, this proves that our systems has no solution.