Answer:
The next number selected should be between 2 and 3 .
Step-by-step explanation:
x. x f(x) g(x)
0 10 17
1 11 19
2 14 21
3 19 23
4 26 25
3.5 22.25 24
<u>2.5 16.25 22</u>
1.5 12.25 20
0.5 10.25 18
We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.
So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5
Now it is moving in the reverse direction in the same pattern with a difference of a unit.
Answer: A
Step-by-step explanation:
A linear function is described as:
https://tex.z-dn.net/?f=f(x)%20%3D%20ax%20%2B%20b
When the value of x = 0, then you're left with
https://tex.z-dn.net/?f=f(x)%20%3D%20b
In this question, the speed of sound is the linear function while the temperature is the independent variable. When T = 0, you're left with
https://tex.z-dn.net/?f=S(0)%20%3D%20331.4
Which means the speed of sound in air when temperature is 0°C is 331.4m/s.
Answer:
an = 6 +5(n-1)
an = 1 +5n
Step-by-step explanation:
The equation for an arithmetic term is
an =a1 +d(n-1)
where a1 is the 1st term and d is the common difference
an = 6 +5(n-1)
We can distribute the 5
an = 6+5n-5
an = 1 +5n
