<span>Subtract 51 from both sides
</span><span>y−51=−3z</span><span>
Multiply both sides by <span>−1</span>
</span><span>−y+51=3z</span>
<span>
Divide both sides by 3
</span><span><span><span>51−y</span>3</span>=z</span>
<span>
Switch sides
</span><span>z=<span><span>51−y</span><span>3</span></span></span> is the answer
I may not be right.
Answer:
![y = 5(6) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205%286%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
A exponential function is represented by
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
![5 = ab {}^{0}](https://tex.z-dn.net/?f=5%20%3D%20ab%20%7B%7D%5E%7B0%7D%20)
b to the 0th power equal 1 so
![5 = a \times 1](https://tex.z-dn.net/?f=5%20%3D%20a%20%5Ctimes%201)
![a = 5](https://tex.z-dn.net/?f=a%20%3D%205)
Our equation is for now
![y = 5b {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205b%20%7B%7D%5E%7Bx%7D%20)
Now let plug in 1,30
![30 = 5b {}^{1}](https://tex.z-dn.net/?f=30%20%3D%205b%20%7B%7D%5E%7B1%7D%20)
Divide 5 by both sides
![6 = b {}^{1}](https://tex.z-dn.net/?f=6%20%3D%20b%20%7B%7D%5E%7B1%7D%20)
Anything to the 1st power is itself so b equal 6.
So our equation is
![y = 5(6) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%205%286%29%20%7B%7D%5E%7Bx%7D%20)
The answer will be 0.2 and 0.03 that will be the prduct of 0.4 and 0.09 I hope that helped you.