Answer:
6.90001008 x 10^8
Step-by-step explanation:
The answer is above
An exponential model can be described by the function

where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model

n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>
(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5
(8x - 12)
8(5) - 12
40 - 12
28
(2x + 18)
2(5) + 18
10 + 18
28
Answer:
x = 5
4x - y = 3
y = 2x + 13
Substitute the second equation into the first equation:
4x - y = 3 [since y = 2x + 13, you can substitute (2x + 13) for "y" in the equation]
4x - (2x + 13) = 3 Distribute/multiply - into (2x + 13)
4x - 2x - 13 = 3
2x - 13 = 3 Add 13 on both sides
2x = 16 Divide 2 on both sides
x = 8
Now that you know x = 8, plug it into one of the equations to find y
y = 2x + 13
y = 2(8) + 13
y = 16 + 13
y = 29
x = 8, y = 29 or (8, 29)
[proof]
4x - y = 3
4(8) - 29 = 3
32 - 29 = 3
3 = 3
y = 2x + 13
29 = 2(8) + 13
29 = 16 + 13
29 = 29
Answer:
21x = 14
x = 1.5
Step-by-step explanation:
(-4)3y - 9x = -6
(3)4y - 12x = -8
-12y-9x=-6
12y-12x=-8
0 -21x = -14
-21x/- = -14/-
21x = 14