Answer:
24x³-62x²+49x-12
Step-by-step explanation:
We can start by multiplying the first two brackets together first.
(3x-4)(2x-1)(4x-3) = (6x²-3x-8x+4)(4x-3)
Evaluate like terms.
(6x²-3x-8x+4)(4x-3) = (6x²-11x+4)(4x-3)
Multiply the two brackets together.
(6x²-11x+4)(4x-3) = 24x³-18x²-44x²+33x+16x-12
Simplify.
24x³-18x²-44x²+33x+16x-12 = 24x³-62x²+49x-12
Tell me if you need it in factorised form.
Answer:
If you meant for 1/2 and 3/4 to be simplified, then they are already in their reduced forms.
Step-by-step explanation:
Answer:
Length of AB = 4.4721
Equation of line BC: y = -2x + 6
Step-by-step explanation:
To find the length of the line AB, we just need to find the distance between the points A and B.
We can find distance with the equation:



To find the equation of the line BC, first let's find the slope of the line AB.
This slope is given by:


The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:

so the line BC is:

To find the value of b, we can use the point B (1,4):


So we have:

Answer:
Mean: 17
Median: 16
Mode: 10
Step-by-step explanation:
8, 10, 10, 11, 16, 17, 19, 21, 41
Median: (the middle number in the number list/data set) 16
Mode: 10
Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17
Answer:
6x - 18
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Step-by-step explanation:
<u>Step 1: Define</u>
3(2x - 6)
<u>Step 2: Expand</u>
- Distribute 3: 3(2x) + 3(-6)
- Multiply: 6x - 18