Answer:b
Step-by-step explanation:
Answer:
Domain of the function represented in the graph is given by he inequality
.
Step-by-step explanation:
We are given the following information in the question:
- The graph shows the plot for quantities of green and yellow paints used for each mix.
- The x-axis shows the quantity of yellow paint used in millimeters.
- The y-axis shows the quantity of green paint used in millimeters.
We have to find a domain for the function shown in the graph.
Domain of a function is basically the set of all values of x for which the function is defined.
If we observe the graph, particularly the x-axis, the plot starts from value 2 and goes upto 10.
So x can take values from 2 to 10.
This can be represented with the help of inequality:

Hence, domain of the function represented in the graph is given by he inequality
.
Answer:
<h2>
11</h2>
Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 <em>ust the distributive property</em>
n² + n = 8n + 16 + 2
n² + n = 8n + 18 <em>subtract 8n from both sides</em>
n² - 7n = 18 <em>subtract 18 from both sides</em>
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 <em>add 9 to both sides</em>
n = 9
n + 2 = 0 <em>subtract 2 from both sides</em>
n = -2 < 0
n + 2 = 9 + 2 = 11