there are 4 planets. the first planet has an orbit of 3 years. The second planet has an orbit of 5 years. The third planet has a
1 answer:
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Answer:
7.2224
Step-by-step explanation:
The value of the summation is given by the formula ...
Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.
Your sum has first term and ratio ...
a1 = 2(0.6) . . . . . summation term for n=1
r = 0.6
So the sum is ...
Then the value of the entire given expression is ...
_____
A calculator can help you find the value.
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is
Explanation:
(1) The miles that train travels per gallon is given by
Dividing, we have,
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are and
Thus, substituting the coordinates in the slope formula, we get,
Simplifying, we have,
Thus, the slope of the graph is
Answer:
The point ( 0,-1) is a solution.
Step-by-step explanation:
y<= (x+1) (x+5)
y>= (x-1)^2 -6
See attached graph.
To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.
y<= (x+1) (x+5)
-1 <= (0+1) (0+5)
-1<= 1*5
-1 <=5
True
y>= (x-1)^2 -6
-1 >= (-1)^2 -6
-1 >= 1-6
-1 >=-5
True
The point is a solution
