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

3 years ago

Given sin(−θ)= −1/4 and tanθ= 15√15 . What is the value of cosθ ?

dangina [55]

$\sin = \frac{y}{r} \\ \\ \tan = \frac{y}{x} \\ \\ \cos = \frac{x}{r} \\ \\ {x}^{2} + {y}^{2} = {r}^{2}$

$- \sin = \frac{ - 1 \: = \: y}{4 \: = \: r}$
$15 \sqrt{15} = \frac{1}{x} \\ \\ x = .017$
$\cos = \frac{.017}{4} = .0043$

4 0

3 years ago

Simplify (-16÷5×20÷8)-(15÷5×-35÷3)​

Simplify (-16÷5×20÷8)-(15÷5×-35÷3)