Answer: k = -1/3
Step-by-Step Explanation:
=> 3x - 2ky + 4 = 0
Value of ‘x’ = -2
Value of ‘y’ = 3
Substitute values of ‘x’ and ‘y’ :-
=> 3x - 2ky + 4 = 0
= 3(-2) - 2k(3) + 4 = 0
= -6 - 6k + 4 = 0
= -6k = 6 - 4
= -6k = 2
= k = 2/-6
=> k = -2/6 = -1/3
Therefore, k = -1/3
Step-by-step explanation:
Geometric Sequence formula for general term:
an = a1(r^n-1)
a1 = 4 × (-5)^1-1
a1 = 4
r = -5
Summation formula for geometric sequence :
Sn = a1 ( 1 - r^n / 1 - r )
...<em>take n from the top of the summation.</em>
= 4 ( 1 -(-5)^6 / 1 -(-5)
= -10416.
If you observe the two given equations, the left hand side of both equation is the same and is equal to y.
Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same.
So, setting them right hand sides of both equations equal to each other and solving for x, we can find the solution to the simultaneous equations.
Therefore, the correct answer is option B
Hey there!
If you ever see the word "is" in a story problem, it means that there is an equal sign there. Let's apply that to this.
23800 =(is) 0.34i (income)
Now, we can solve for i by dividing.
23800/0.34= 70,000
Therefore, the annual income is $70,000.
I hope this helps! Have a great day!
Plug in y=3x+2 into the y in the second equation.
x + 2(3x+2) = 11
x + 6x + 4 = 11
7x + 4 = 11
7x = 7
x = 1
then, plug the x value into x in the first equation.
y = 3(1) + 2
y = 3 +2
y = 5
