Answer:
B
Step-by-step explanation:
We can figure out the initial value and base of an exponential function if the function is written in the form
where
a is the initial value, and
b is the base
<u>Note:</u> a ≠ 0 and b ≠ 1
Our equation given can be written in this form by writing it like ![y=5^x\\y=1*5^x](https://tex.z-dn.net/?f=y%3D5%5Ex%5C%5Cy%3D1%2A5%5Ex)
Thus, this is an <em>exponential function</em>. The initial value is 1 and the base is 5.
The correct answer is B
Answer:
Graph the polynomial in order to determine the intervals over which it is increasing or decreasing. Increasing on: (1,∞) ( 1 , ∞ ). Decreasing on: (−∞,1) ( - ∞ , 1 ).
Step-by-step explanation:
Answer:
B 62 gallons
Step-by-step explanation:
Legacy Ranch Is A Relatively New Housing Development. ... Association reports that the per capital water use in a single-family home is 62 gallons per day.
we are given
![y= -x^2 + 6x + 7](https://tex.z-dn.net/?f=%20y%3D%20-x%5E2%20%2B%206x%20%2B%207%20)
we can use vertex form parabola formula
![y= a(x-h)^2+k](https://tex.z-dn.net/?f=%20y%3D%20a%28x-h%29%5E2%2Bk%20)
so, we can complete x square
![y= -(x^2 - 6x - 7)](https://tex.z-dn.net/?f=%20y%3D%20-%28x%5E2%20-%206x%20-%207%29%20)
![y= -(x^2 - 6x - 7+3^2-3^2)](https://tex.z-dn.net/?f=%20y%3D%20-%28x%5E2%20-%206x%20-%207%2B3%5E2-3%5E2%29%20)
![y= -(x^2 - 6x +3^2-16)](https://tex.z-dn.net/?f=%20y%3D%20-%28x%5E2%20-%206x%20%2B3%5E2-16%29%20)
![y= -(x-3)^2+16](https://tex.z-dn.net/?f=%20y%3D%20-%28x-3%29%5E2%2B16%20)
so, option-A........................Answer