Turning points or how many dips it has
hmm
1st degree is a line, no turning points
2nd degree is parabola, 1 turning point
3rd degree has 2,
etc
xdegree has x-1 turning points
7th degree has 7-1=6 turning points
Answer:
y = (4x - 3)(3x + 2)
Step-by-step explanation:
Factorization is the process of taking like terms out of number such that one can rewrite an expression by its factors, or as the products of serval smaller expressions.
The first step to factoring an equation is to rewrite the linear term as the sum or difference of two other linear terms. One must do this in such as way that it shares a common factor with one of the other terms in the expression.
![12x^2 -x - 6](https://tex.z-dn.net/?f=12x%5E2%20-x%20-%206)
![12x^2 -9x + 8x - 6](https://tex.z-dn.net/?f=12x%5E2%20-9x%20%2B%208x%20-%206)
Take out the common factor,
![3x(4x-3)+2(4x-3)](https://tex.z-dn.net/?f=3x%284x-3%29%2B2%284x-3%29)
Factor,
![(3x+2)(4x-3)](https://tex.z-dn.net/?f=%283x%2B2%29%284x-3%29)
What is the third quartile of this data set 20,21,24,25,28,29,35,36,37,43,44
SashulF [63]
Answer:
37
Step-by-step explanation:
The data set is in ascending order, thus the median is the middle value of the data set.
median = 29
The third quartile is the middle value of the data to the right of the median
= 37
A. In part 1, the bus drives pretty linearly. In part 2, the bus is at a stop. In part 3, the bus drives much faster, as the slope is much larger. In part 4, the bus is at a stop. In part 5, the bus comes back to its starting point.
B. The bus is increasing in parts 1 and 3, decreasing in part 5, and at a constant at parts 2 and 4.
C. The graph is non-linear, as the slope is not at a constant.
Hope this helps
Answer:
f(x) = 2x² - 12x + 14
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(x - h)² + k
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = 2(x - 3)² - 4
<u>Step 2: Convert to Standard Form</u>
- Expand by FOILing: f(x) = 2(x² - 6x + 9) - 4
- Distribute 2: f(x) = 2x² - 12x + 18 - 4
- Combine like terms: f(x) = 2x² - 12x + 14
And we have our final answer!