The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place.
The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.
f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5
So, the slope is equal to:
Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
A. F(x)= 3x+6 =12
3x = 12-6
3x = 6
x=2
B. x=10, f(x)= 3*10+6 = 30+6 = 36
C. f(x) = 3x+6 = 6
3x = 6-6
3x=0
x=0
D. x=5, f(x) = 3x+6 = 3*5+6 = 15+6 = 21
Answer:
Length = 2x + 5
Width = x + 3
Step-by-step explanation:
Area of rectangle = length × width
Expression for area of the rectangle = 2x² + 11x + 15
Factorising the quadratic expression
2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)
Length = 2x + 5
Width = x + 3
Answer:
I'm not so sure about this one so sorry if this is wrong
Step-by-step explanation:
