Answer:
Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
<u>Function A:</u>
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
<u>Function B:</u>
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
Can you please provide a photo so I can help you?
Answer:
That's alot of words its kinda hard to understand
Answer:
see attached
Step-by-step explanation:
The x-coordinate of the vertex is given by ...
x = -b/(2a)
for f(x) = ax^2 +bx +c.
We see that the vertex is at x = 1, and we are given a = -16. Then we can find "b" from ...
1 = -b/(2(-16))
32 = b
We know the y-intercept of the equation is 5 (the starting height), so the equation must be ...
h(t) = -16t^2 +32t +5 . . . . . matches the last choice
Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
