Answer:
the vertex is (6,-27)
Step-by-step explanation:
I believe that it is B. Hope this helps!
The answer would be A, yet if this was for homework or a test, you would write it out as "3 + n".
Answer:
<h2>The function f(x) = (x - 6)(x - 6) has only one x-intercept. But at (6, 0) not at (-6, 0).</h2>
Step-by-step explanation:
The intercept form of a quadratic equation (parabola):
p, q - x-intercepts
Therefore
The function f(x) = x(x - 6) = (x - 0)(x - 6) has two x-intercepts at (0, 0) and (6, 0)
The function f(x) = (x - 6)(x - 6) has only one x-intercept at (6, 0)
The function f(x) = (x + 6)(x - 6) = (x - (-6))(x - 6)
has two x-intercept at (-6, 0) and (6, 0)
The function f(x) = (x + 1)(x + 6) = (x - (-1))(x - (-6))
has two x-intercepts at (-1, 0) and (-6, 0).
Answer:
- The first graph (see figure attached)
Explanation:
<u>1. Number of pages read by Robert</u>
Set a function for the number of pages read by Robert, taking into account that this is an arithmetic sequence, whose first term is 30, and the common difference is 20:
↑ ↑ ↑
first day next days
<u>2. Number of pages read by Tony:</u>
The arithmetic sequence that represents the number of pages read by Tony has first term 40, and common difference 14:
↑ ↑ ↑
first day next days
<u>3. Find the numbers of pages read by Tony in terms of the number of pages read by Robert.</u>
To do that, you must clear n from both equations and equal the two expressions obtained:
From R(n) = 30 + 20 (n - 1):
- R(n) = 30 + 20n - 20
- R(n) = 10 + 20n
- n = [R(n) - 10]/20
You can change R(n) to r:
From T(n) = 40 + 15 (n - 1)
Change T(n) to t
Equal both expressions:
- (r - 10) / 20 = (t - 25)/15
Solve for t:
Find some points of the equation t = 0.75r - 17.5 to compare with the points of the graph:
- r = 0 ⇒ t = 17.5, that means that the line intercepts the vertical axis at 17.5. The only graph that matches this is the first graph
Find other point:
- r = 30 ⇒ t = 0.75(30) + 17.5 = 40.Thus, the graph must contain the point (30, 40), which the first graph does.