Answer:
x=5 and y=5
Step-by-step explanation:
You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.
So let's plug the first into the second:
First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:
x = 10 - y
Now we substitute 10-y for x in the second equation:
So 2x+4y=30 becomes:
2(10-y) + 4y = 30
And simplify that:
20 - 2y + 4y = 30
20 + 2y = 30
2y = 30-20
2y = 10
y = 5
This is the first answer! If we put this into the first equation, we get:
x = 10 - 5 = 5
Now we have both answers, x=5 and y=5
Answer:
The nth term in the sequence is given by the equation:
Step-by-step explanation:
Arranging a table for n and nth:
![\left[\begin{array}{ccc}n&nth\\1&1\\2&3\\2&16\\4&125\\5&1296\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%26nth%5C%5C1%261%5C%5C2%263%5C%5C2%2616%5C%5C4%26125%5C%5C5%261296%5Cend%7Barray%7D%5Cright%5D)
It is easier to notice that 16 and 125 result from the second power of 4 and the third of 5, respectively, which are one number below their respective position. That is why we can deduce that the base of the power is n+1.
For n=2, the base n+1 results in 3, which matches the nth term for n=2. Since 3 is the result of 3 to the power of 1, 16 is 4 to the power of 2, and 125 is 5 to the power of 3, all the powers are one number behind n, so the power is given by n-1, giving the equation:
Answer: 0,16,32,48,64
Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16
Answer:
Step-by-step explanation:
i might be wrong but it might be 65
Answer:
Its 3
Step-by-step explanation:
i took the test
