Answer:
maximum value y = 30
Step-by-step explanation:
Given
- x² + 10x + 5
To complete the square the coefficient of the x² term must be 1
factor out - 1
= - (x² - 10x) + 5
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 10x
= - (x² + 2(- 5)x + 25 - 25) + 5
= - (x - 5)² + 25 + 5
= - (x - 5)² + 30 ← in vertex form
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Hence vertex = (5, 30)
The max/ min occurs at the vertex
Since a < 0 then vertex is a maximum
Hence maximum value is y = 30
Yes or course. PEMDAS
Parenthesis
Exponents
Multiplication-Division (solve left to right)
Addition- Subtraction (solve left to right)
example, lets take a simple equation.
32+6x7-1+4²
Let's solve it left to right
You're answer would be 281
But when using PEMDAS your answer is- 89
Check out this video for extra help.
https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/pre-algebra-order-of-operations/...
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7 hours and 30 mins.
Step-by-step explanation:
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
