Answer:
x=-6
Step-by-step explanation:
1. Collect like terms [-15x] [+6x]
-15x+10+6x=64
-9x+10=64
2. Move constant [+10] to the right-hand side and change its sign
-9x+10=64
-9x=64-10
3. Subtract the numbers [64-10]
-9x=64-10
-9x=54
4. Divide both sides of the equation by -9
-9x/9=54/9
5. Solution
x=-6
Answer:
-6.3p+10.5
Step-by-step explanation:
Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
Answer:
-4+(-4.6)
Step-by-step explanation: