Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
Answer:
<em>Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift</em>
Step-by-step explanation:
<u>Equations</u>
Let's make:
x = the number of years from now
Karim now is 22 and Ziad is 8. x years from now Karim will be
22 + x years old and Ziad will be
8 + x years old.
Karim will give Ziad a wonderful gift when:
22 + x = 3(8 + x)
22 + x = 24 + 3x
Solving:
x = -1
This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift
Answer:
35/16 sec ( 2 3/16 sec)
Step-by-step explanation:
This assumes you glove is at height = 0
0 = -16t^2 + 35t
0 = t ( -16t + 35) shows t = 0 ( before you throw it) and t = 35/16 sec
Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27
