We have that
y = 2(0.45)^x

in this problem
2-----------> is the Coefficient
0.45-------> is the Base
x-----------> is the Exponent

we know that
If the base is less than 1 (but always greater than 0), the function will be exponential decay
It is decay because as x values increase, y values decrease.
0.45 < 1 and 0.45 > 0
therefore

the equation
y = 2(0.45)^x
represents exponential decay

the answer is
exponential decay

6 0

2 years ago

Find the perimeter and simplify your answer

Lera25 [3.4K]

Answer:

32z-14

Step-by-step explanation:

2(9z-8)+2(7z+1)

18z-16+14z+2

simplify

32z-14

3 0

2 years ago

Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.

q.e.d.

7 0

3 years ago

Find the slope between the points. (4,-2) and (8,5)

aksik [14]

Slope = m

Equation to find slope is:

m = (y2 - y1) / (x2 - x1)

2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2

So...

m = (y2 - y1) / (x2 - x1)

m = (5 - (-2)) / (8 - 4)

m = 7 / 4 or 1.75

Therefore, the slope of the line is 7/4 OR 1.75.

3 0

2 years ago