In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
1 hour and 30 minutes because when you subtract those you will get that answer
Answer:
50 degrees
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer:
x = -1/2
Step-by-step explanation:
4(x + 3) = 9x + 16 + 3x
Distribute the 4
4x +12 = 9x+16+3x
Combine like terms
4x+12 = 12x+16
Subtract 4x
4x-4x+12 = 12x-4x+16
12 = 8x+16
Subtract 16
12-16 = 8x+16-16
-4 =8x
Divide by 8
-4/8 =8x/8
-1/2 =x
Step-by-step explanation:
Bus A leave depot at = 3pm
Bus B leave depot at = 3 pm
both leave depot at 3 pm so
Bus A complete its route in25 mins
Bus A reach at his point at 3:25 pm
Bus B complete its route in 30 mins
Bus B reach at his point at 3:30 pm
So
If the buses go back to depot it will take 25 mins so Bus A reach back at depot at 3:50 pm
Bus B at 4:00 pm
