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
Answer:
69.08
Step-by-step explanation:
C=
C=
×
C≈
Answer:
x≥4
Step-by-step explanation:
_6≥10+4x
group like terms
4x≥10+6
4x≥16
divide both side by 4
4x\4≥16\4
x≥4
1/4 + 1/3 + 1/6 + 1/8 + 1/8
Must have same denominators
6/24 + 8/24 + 4/24 + 3/24(2)
Answer: 1
Like terms are when numbers with and without variables can be combined. ex: 4x+6-8x+=32
you would first combine 4x and -8x because they are the same.
