What are the next three terms in the sequence 5, 14, 23, 32, ...? 43, 54, 65 45, 54, 63 41, 50, 59 47, 56, 65
nikitadnepr [17]
Take a careful look at 5, 14, 23, 32. Each new term is equal to the previous term PLUS 9. Thus, 9 is the "common difference."
Next 3 terms?
32 plus 9 is 41
41 plus 9 is 50
50 plus 9 is 59
59 plus 9 is 68.
and so on
So the "next 3 terms in the seq. 5, 14, 23, 32 are 41, 50, 59.
First, you need to move 2 to the other side. You accomplish this by adding 2 to 1. You have y>3. Since your variable is smaller than 3, draw an open circle on the 3 mark and a squiggly line left of 3.
Answer:

Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by the formula;

Given (h,k)=(0,0) and r=4, we substitute the values to obtain;

The required equation is

Answer:
Table 3
Step-by-step explanation:
The third one.
We have the function
![h(x) = \sqrt[3]{-x+2}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Csqrt%5B3%5D%7B-x%2B2%7D)
Now we will insert values of x in that definition o h(x) and see if the values we obtain match the corresponding y values in the table:
![h(-6) = \sqrt[3]{-(-6)+2}= \sqrt[3]{6+2}= \sqrt[3]{8} = 2\\h(1) = \sqrt[3]{-1+2}= \sqrt[3]{1}= 1\\h(2) = \sqrt[3]{-2+2}= \sqrt[3]{0}= 0\\h(3) = \sqrt[3]{-3+2}= \sqrt[3]{1}= 1\\h(10) = \sqrt[3]{-10+2}= \sqrt[3]{-8}= -2](https://tex.z-dn.net/?f=h%28-6%29%20%3D%20%5Csqrt%5B3%5D%7B-%28-6%29%2B2%7D%3D%20%5Csqrt%5B3%5D%7B6%2B2%7D%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202%5C%5Ch%281%29%20%3D%20%5Csqrt%5B3%5D%7B-1%2B2%7D%3D%20%5Csqrt%5B3%5D%7B1%7D%3D%201%5C%5Ch%282%29%20%3D%20%5Csqrt%5B3%5D%7B-2%2B2%7D%3D%20%5Csqrt%5B3%5D%7B0%7D%3D%200%5C%5Ch%283%29%20%3D%20%5Csqrt%5B3%5D%7B-3%2B2%7D%3D%20%5Csqrt%5B3%5D%7B1%7D%3D%201%5C%5Ch%2810%29%20%3D%20%5Csqrt%5B3%5D%7B-10%2B2%7D%3D%20%5Csqrt%5B3%5D%7B-8%7D%3D%20-2)
We can see that the values match the table 3, so the table 3 represents points on the graph of h(x)