Vertex<em> </em>is at
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Step-by-step explanation:
The graph of the equation is hereby attached in the answer area.
Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(), is shown with the dotted line in the graph attached.
<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when . Putting
And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of in the given equation . Here, co-efficient of
So, vertex<em> </em>is at
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Answer: Explicit Rule: a_n=30,000 • 2^n-1
Recursive Rule: a_n = 2a_n-1; a_1 = 30,000
Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km