y = -1 + 3/8x
2x - 5y = 6
Substitute the first equation into the second equation, since y is already by itself.
2x - 5(-1 + 3/8x) = 6
2x + 5 - 15/8x = 6
2x - 15/8x = 1
16/8x - 15/8x = 1
1/8x = 1 Multiply 8 on both sides to get x by itself
x = 8
Plug x into either of the equations.
y = -1 + 3/8(8)
y = -1 + 3
y = 2
2(8) - 5y = 6
16 - 5y = 6
-5y = -10
y = 2
(8,2)
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
Answer: 19.1842
Step-by-step explanation:
Answer: x=12, x=-3
Step-by-step explanation: For this factored problem, you see that -36 is negative, as well at -9. This shows you that you need to find two numbers that multiply to get -36, and add up to get -9. Two numbers that both satisfy these requirements are -12 and 3. They multiply to get -36, and add to get -9.
Once you have found your values, you plug them into (x+/- __)(x+/- __), which is (x-12)(x+3).
But since the problem asks you to find the zeroes, you set each factor equal to zero, like this:
x-12=0 and x+3=0
Then solve and you have you answer!
