Ms.Gonzalez ordered prizes for her science classes. On Friday, Ms. Gonzalez had received 6 times as many prizes as she got on We
1 answer:
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Answer:
The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.
Step-by-step explanation:
Consider the system of linear equations:
The system of linear equations can have zero, one, or an infinite number of solutions:
simplify equation (1):
substitute in equation (2), we get
we cannot find the value of and
.
so, there is no solution.
Multiply the equation (1) with 3 and put k is 6,
it means both equations are overlapped. Then, the solution has infinite solutions.
Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.
Answer:
length of the photograph will be 4.2 in. after pressing the button 5 times.
Step-by-step explanation:
By pressing the button, every time size of the photograph gets reduced by 12%.
Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,
L =
Where l = Actual length of the photograph
L = length of the reduced image
n = Number of times the button has been pressed
For l = 8 in. and n = 5
L =
=
= 4.22 in
L ≈ 4.2 in.
Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.