Answer:
the solution is (5, 6)
Step-by-step explanation:
Please reserve " × " for representing multiplication, and " x " as a variable name.
Starting with the system
6x-5y= 0
4×-5y = -10
multiply the 2nd equation by -1. This results in the system
6x - 5y = 0
-4x + 5y = 10
and combining these two equations results in
6x - 5y = 0
-4x + 5y = 10
------------------
2x = 10, or x = 5.
Substituting 5 for x in the first equation, we get
6(5) - 5y = 0, or 5y = 30. Then y = 6, and the solution is (5, 6).
Answer:
1/6
Step-by-step explanation:
The coin toss and the cube roll are entirely separate and independent events. To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.
P(tails) = 0.5
P(3) = 1/6, or 0.3333 ....
Desired joint probability = (1/2)(1/3) = 1/6
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> <em>a</em> = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = <em>i</em> * √3 * 10
… = 10<em>i</em> √3
=> -<em>a</em> = 10 and <em>b</em> = 3 => <em>a</em> = -10 and <em>b</em> = 3
=> <em>a</em> - <em>b</em> = -10 - 3 = -13
X/x+9 (original fraction)
x+1/ x+10 = 4/13
x+1=4 so x=3 and x+10=13 so again x=3
now that you have the value of x, substitute it into the original fraction to get:
3/12
