8x - 9x²y + 7y² - 2x⁴
-2x⁴ - 9x²y + 8x + 7y²
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
(x-2)²/100 + (y+3)²/64 = 1
Step-by-step explanation:
C (2,-3): h=2 k=-3
semimajor axis (CV): a=12-2=10
center-foci: c=8-2=6
semi minor axis: b² = a²-c²= 100 - 36 = 64
equation: (x-h)²/a² + (y-k)²/b² = 1
(x-2)²/100 + (y+3)²/64 = 1
Answer:
Step-by-step explanation:
v=3+1.5x7
v= 13.5 m/s
C. y = 3x - 4
Step-by-step explanation:
Given coordinates:
(2, 2), (3, 5), (5, 11), (7, 17)
The equation of any straight line is
y = mx + c
Where
m = Gradient
c = Constant
Gradient = y2 - y1/x2 - x1
Substitute any two values of y with the respective values of x.
Gradient = 17 - 2/7 - 2
= 15/5
= 3
Substitute the gradient into the general formula.
y = 3x + c
Substitute any value of the coordinate to the equation
2 = 3(2) + c
2 = 6 + c
c = -4
From y = mx + c,
substitute the values of m, the gradient, and c, the constant.
y = (3)x + (-4)
y = 3x - 4