the answer is 268 hope this helps
X= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4
The equation of the exponential model is f(x) = 3 * 0.2^x
<h3>How to determine the exponential model?</h3>
The table of data is given as:
x(-2,-1,0,1,2)
f(x)(71,13,3,0.6,0.1)
An exponential model is represented as:
f(x) = ab^x
When x= 0 and f(x) = 3;
We have:
ab^0 = 3
This gives
a = 3
When x= 1 and f(x) = 0.6
We have:
ab^1 = 0.6
This gives
ab = 0.6
Substitute 3 for a
3b = 0.6
Divide both sides by 3
b = 0.2
Substitute b = 0.2 and a =3 in f(x) = ab^x
f(x) = 3 * 0.2^x
Hence, the equation of the exponential model is f(x) = 3 * 0.2^x
Read more about exponential model at:
brainly.com/question/2441623
#SPJ4
I actually don't know but have you listened to King Von's new album yet it's fire
<u>Answer:</u>
False
<u>Step-by-step explanation:</u>
The given statement: 'the order in which you perform operations in a numerical expression does not matter' is absolutely false.
The order or sequence in which a mathematical expression is solved does matter a lot. Performing mathematical operations in a different manner will result in different results.
The rule for performing mathematical operation states that a numerical expression should be solved in the following manner:
1. Brackets
2. Of
3. Division
4. Multiplication
5. Addition
6. Subtraction