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)}.
18 + 81 = 9(x²<span> + 6x + 9)
</span><span>11 = (x + 3)</span>²
When we are completing the square, we are going to move the value of c across the equals. We will do that by adding, and end up with
18=9(x²+6x)
We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9
This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)
Dividing both sides by 9, we have:
11=x²+6x+9
11=(x+3)²
Answer: 420 miles
Step-by-step explanation: She drove 7 hours at an average of 60 mph. You have to do 7 times 60 because each hour she goes 60 miles. 7 multiplied by 60 will give you 420.
Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
Answer:
- 16
Step-by-step explanation:
Average is calculated as
average = 
Thus for the given 10 numbers we have
= - 5 ( multiply both sides by 10 )
total = - 50
let the number added be x, then
= - 6 ( multiply both sides by 11 )
total + x = - 66, that is
- 50 + x = - 66 ( add 50 to both sides )
x = - 16
The new number is - 16
