Answer:
-2x² - 5x + 16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(-10x² + 9) + (8x² - 5x + 7)
<u>Step 2: Simplify</u>
- Combine like terms (x²): -2x² + 9 - 5x + 7
- Combine like terms (Z): -2x² - 5x + 16
Answer:
(x + 8)(x - 2)(4x - 1)
Step-by-step explanation:
Given that x = - 8 is a zero then (x + 8) is a factor
Divide f(x) by (x + 8) using Synthetic division
- 8 | 4 23 - 70 16
↓ - 32 72 - 16
---------------------------------
4 - 9 2 0
Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)
Thus
f(x) = (x + 8)(x - 2)(4x - 1)
Answer:
neither
Step-by-step explanation:
For lines to be parallels the slopes must be equal, for the lines to be perpendicular the lines have to be inverse reciprocals meaning if you have a slope of 1/2X then the perpendicular line must be -2X
Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639
Answer:
Part a)
Steve's expression is 
For x=3, the expression is equal to 
Part b)
Jasmine's expression is
For x=2, the expression is equal to 
Step-by-step explanation:
Part a)
Let
n-----> the first term
The expression is
substitute
Steve's expression is
Evaluate for x=3
Part b)
Let
n-----> the first term
Jasmine's expression is
Evaluate for x=2
