Answer:
The region that contains the solution to the system is:
Region D
Step-by-step explanation:
The graph of this will be a solid line passing through (9,0) and (0,3) with shading towards the origin.
Hence, it covers Region C and Region D.
The graph of this will be a solid line passing through (-2/3,0) and (0,2) with away from the origin.
Hence, it covers Region A and Region D.
Hence, the intersection region that is covered by both the inequalities is:
Region D
Average speed = Total distance/Total time.
First drive:
120/60=2 (distance/rate=time)
Second drive:
120/40=3 (distance/rate=time)
Average:
Total time=120+120=240
Total time=3+2=5
Average speed = Total distance/Total time=240/5=48
His average speed was 48 mph.
Answer:
Step-by-step explanation:
On day one = few pages (x)
On day two = twice of pages read on day one (2x)
On day three= 6 less than the page read the first day (x-6)
Total pages read = x+2x+(x-6)=458
4x-6=458
4x=458+6=464
x= 464÷4
x=116
Pages read on day three was 110
Option: C is the correct answer.
C. y=|x+4|-2
We know that the vertex of a absolute value function or a modulus function f(x) of the type:
f(x)=a|x-h|+k
is denoted by V such that:
V=(h,k)
By looking at the graph of the function we see that the vertex of the function is:
(-4,-2)
A)
y=|x+4|+2
The vertex of this function is:
(-4,2)
Hence, option: A is incorrect.
B)
y=|x-4|+2
The vertex of this function is: (4,-2).
Hence, option: B is incorrect.
D)
y=|x-4|-2
The vertex of this modulus function is: (4,-2)
Hence, option: D is incorrect.
C)
y=|x+4|-2
The vertex of this function is: (-4,-2)
Also, we see that the graph of this function matches the given graph.
Hence, option: C is correct.
Answer:
c
Step-by-step explanation:
y=|x+4|-2