Answer:
k = -18
Step-by-step explanation:
75 m = 0.75 m
<span>251 km = 251,000 m
</span>0.46 cm = 4.6 mm
58 mm = 0.058 m
we are given

we can check each options
option-A:
-1,1
we can plug x=-1 and x=1 and check whethet f(x)=0
At x=-1:


At x=1:


so, this is TRUE
option-B:
0,1
we can plug x=0 and x=1 and check whethet f(x)=0
At x=0:


At x=1:


so, this is FALSE
option-C:
-2,-1
we can plug x=-2 and x=-1 and check whethet f(x)=0
At x=-2:


At x=-1:


so, this is FALSE
option-D:
-1,0
we can plug x=-1 and x=0 and check whethet f(x)=0
At x=-1:


At x=0:


so, this is FALSE
Equation
-4x + 16 = -116
solve for x
-4x + 16 = -116
subtract 16 to both sides
-4x + 16 - 16 = -116 - 16
simplify
-4x = -132
divide -4 to both sides
-4x/-4 = -132/-4
simplify
x = 33
answer: the number is 33
The relation represented by the arrow diagram is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.
Option: C.
<u>Step-by-step explanation:</u>
A function is a relation in which each input value(domain) results in one output value(range). It is represented diagrammatically using the mapping method.
It shows how each element of domain and range are paired. That is like a flowchart it shows the input values marking its corresponding output value.
In the given diagram,
The values given in the left are domain and values given in the right are range.
Thus, -3 marks to 4, then can be written as (-3,4).
Similarly,
-1 marks 5 = (-1,5).
0 marks 7= (0,7).
2 marks 2= (2,2).
5 marks 7 =(5,7).
⇒ The complete points sequence is {(-3, 4), (-1, 5), (0, 7), (2, 2), (5, 7)}.