Answer:
36 minutes is the answer!
Step-by-step explanation:
I am pretty sure it would be 0.09
If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
Total cost of dinner = P + 0.15p = 23
Step-by-step explanation:
Consider the information provided.
The cost of dinner at a restaurant is $P.
The tip offered for the service was, $0.15p.
The total of the cost of dinner and the tip offered for the service is:
T = P + 0.15p = 23
Answer:
x=17, y=12
Step-by-step explanation:
From the figure we know that,
Angle CDB = 4x-5
Angle BDE = 10y-3
Angle DEA= 97-2x
Though we are NOT given that line segments BD and AE are parallel, we may assume so by the construction of the triangle.
Hence, BD II AE and are cut by the transversal CE,
Hence,
Angle CDB = Angle CEA {Corresponding angles are equal}
As we observe that,
Angle CDB and Angle BDE form a linear pair, they are supplementary.
Hence,
Angle CDB + Angle BDE = 180