Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
The 6th term of the geometric sequence is of -4096.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
For this problem, we have that:
- The first term is .
- , hence the common ratio is q = -4.
Thus the 6th term of the sequence is found as follows:
More can be learned about geometric sequences at brainly.com/question/11847927
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Answer:
n=40
Step-by-step explanation:
Answer:
1,224,780
Step-by-step explanation:
44,700 × 27.4= 1,224,780
Answer:
Step-by-step explanation:
40/ 1.5= 20
20/ 1.5= 10
10/ 1.5= 5
5/ 1.5= 3.3
Answer: 3.3
*not sure if this is correct!*