Step-by-step explanation:
4x + y = 6 => 8x + 2y = 12.
8x + 2y = 12
+ (-5x - 2y = -3)
=> 3x = 9, x = 3.
Therefore 4(3) + y = 6, 12 + y = 6, y = -6.
The solutions are x = 3 and y = -6.
<u>Given</u>:
The given geometric sequence is 128, 32, 8
We need to determine the next term of the geometric sequence.
<u>Common ratio:</u>
Since, it is given that the sequence is a geometric sequence, then the common ratio is given by


Thus, the common ratio is 
<u>Next term:</u>
The next term of the sequence can be determined by multiplying the previous term with the common ratio.
Thus, we have;
Next term = 
= 2
Thus, the next term is 2.
Hence, the next term of the geometric sequence is 2.
Answer:
1)107
2)43
Step-by-step explanation:
Triangles interior angles add up to 180 degrees. In the first one, the first two angles are 31and 42, and if interior angles add up to 180, the equation should be 31+42+x=180 x=107.
Second one is hardes. A square means a right angle, or 90 degrees. 180-90 is 90. Next, we have the two angles x, and x+4 We know that triangles interior angles add up to 180 degrees, so x+x+4+90=180 2x+94=180 2x=86 x=43
Hope this helps :D Please mark brainliest if correct :D
Answer: Equation 3
Step-by-step explanation:
It does not have any exponents, meaning it's linear
<u>Answer:</u>
The correct answer option is b)
.
<u>Step-by-step explanation:</u>
We are given that the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. We are to find the probability that both balls drawn are white.
This means that the first must be white and the second ball must also be white.
P (w, w) =
×
= 
Therefore, the probability that both the balls drawn are white is 1/6.