Given:
Roots:
![\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3%2B%5Csqrt%5B%5D%7B6%7D%20%5C%5C%20-3-%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
![y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})](https://tex.z-dn.net/?f=y%3Da%28x%2B3-%5Csqrt%5B%5D%7B6%7D%29%28x%2B3%2B%5Csqrt%5B%5D%7B6%7D%29)
Next, we expand the terms.

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

So,
Answer:
(-3 + 5 i) (1) = (-3 + 5 i)
Step-by-step explanation:
The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.
Answer: 895 phones
Step-by-step explanation:
Given that :
The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997
y = number of camera phones ; x = number of years since 1997
The number of camera phones shipped in the year 2002 can be obtained thus ;
x = 2002 - 1997 = 5 years
y = 1.28e^(1.31 * 5)
y = 1.28e^6.55
y = 1.28(699.24417)
y = 895.03254
y = 895 phones
Answer:
Chloe received $11 as change if she gave the clerk $50
Step-by-step explanation:
We are given that Chloe purchased a sweater that cost $24, and a shirt that cost 5/8 times as much as the sweater.
Cost of sweater = $24
Cost of shirt =
So, Total cost of shirt and sweater = 24+15=39
Now She gave $50 to clerk
So, Change received by her = 50-39=11
So, Chloe received $11 as change if she gave the clerk $50