Step-by-step explanation:
y = -2x² + 4x + 1
Complete the square.
y = -2 (x² − 2x) + 1
y = -2 (x² − 2x + 1) + 1 − (-2)(1)
y = -2 (x − 1)² + 3
The vertex is (1, 3). The leading coefficient is negative, so the vertex is a maximum.
Graph: desmos.com/calculator/qsih3rd8ev
The constant rate of change is 82
Answer:
99 and - 12
Step-by-step explanation:
let x and y be the 2 numbers, then
x + y = 87 → (1)
x - y = - 111 → (2)
Adding the 2 equations term by term eliminates the y- term
2x = - 24 ( divide both sides by 2 )
x = - 12
Substitute x = - 12 into (1)
- 12 + y = 87 ( add 12 to both sides )
y = 99
The 2 numbers are 99 and - 12
Explanation and steps to the expressions are marked in order in the images below.
1. Answer is 3z/2 + 4
2. Answer is 5.8m
3. Answer is n + 5
4. Answer is 15q
5. Answer is 10x + 1/2 + y
6. Answer is 8z + 4.2
The maximum is five images, so I cannot add the last explanation and steps for the last expression.
Answer:
h = 12 inches
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
Substituting V = 1080 and B = 90
1080 = 90h
Divide each side by 90
1080/90 = 90h/90
12 = h