All your answers look good!
, is a equation.
4q>s+
, is an inequality.
4a-5 is an expression
<h3>
What is Equation, Expression and Inequality?</h3>
- An equation is a mathematical expression that contains an equals symbol.
- An expression is a combination of numbers, variables, functions
- An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The first Phrase
, is a equation.
A equation contain operand, operators(+,-,*,/) and an equal sign.
The second phrase
4q>s+
, is an inequality.
An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The third phrase
4a-5 is an expression
An expression is a combination of numbers, variables, functions
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1) 2x + 9 = 2x -5
9 ≠ -5 ; No solution
2) 2x- 1 = x + 3
x = 4; One solution x = 4
3) x + 2 = x + 2
0 = 0; Identity (or all real numbers)
Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405