Answer:
13x^2 - 6x -11
Step-by-step explanation:
Answer:
(3, -2)
Step-by-step explanation:
To find the vertex, put the equation into vertex form by completing the square
2(x^2 - 6x) + 16 [pulling out the 2]
2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]
2(x - 3)^2 - 2 [simplify the equation]
vertex is (3, -2)
Answer:
First vector

Second vector

Step-by-step explanation:
Given that
Vector a , a= 4 i + 5 j + 0 k
Vector b , b= 0 i + 1 j - 3 k
The orthogonal vector V is given as
V = a x b
V is the cross product of the above two vector which is orthogonal to the vectors a and b.

The unit vectors

First vector

Second vector

Answer:
.
Step-by-step explanation:
It is given that,
Initial population of a town = 2000
Growth rate = 4% = 0.04 per year
The exponential growth function for population is

where,
is initial population, r is growth rate and t is number of years.
Substitute
in the above equation.


Therefore, the required equation is
, where P is population after t years.
Answer:
1. x =8
2. x=9
Step-by-step explanation:
Since these figures are parallelograms, the opposite sides are equal.
1. 6 = 2x-10
Add 10 to each side
6+10 = 2x-10+10
16 = 2x
Divide each side by 2
16/2 = 2x/2
8 =x
2. x+14 =23
Subtract 14 from each side
x+14-14 = 23-14
x = 9