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).
Answer:
q=17
Step-by-step explanation:
5q-10=75
add 10 to both sides to cancel out -10 on the left side
5q-10+10=75+10
5q=85
divide both sides by 5 to get rid of the 5 in 5q
5q/5=85/5
resulting in:
q=17
Answer:Just solve it. This is Algebra. Not that hard. Use Substation Method
Step-by-step explanation:
- Hypotenuse= ML
- Perpendicular=KL=15
- Base= KM=8
By using Pythagoras theorem.
- h²=p²+b²
- ML²=15²+8²
- ML²=225+64
- ML=√289
Therefore ML= 17...
Step-by-step explanation:
Hope it helps....Mark me brilliant
Answer:
8
Step-by-step explanation:
It has the highest frequency
