Answer:
f(x) = -(x + 1)² - 2
Step-by-step explanation:
f(x) = a(x - h)² + k
-6 = a(1 - -1)² + -2
-6 = a(4) -2
-4 = 4a
a = -1
f(x) = -(x + 1)² - 2
Answer:





maximum profit 
Step-by-step explanation:
Given that,
The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.
The additional cost of manufacturing each plane can be modelled by the function.

Find the cost, demand (or price), and revenue functions.



Find the production level that maximizes profit.










Find the associated selling price of the aircraft that maximizes profit.


Find the maximum profit.
Manufacturing cost of one plane is:


maximum profit 

Answer:
≈ 345.8 ft
Step-by-step explanation:
There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.
Using the tangent ratio in the right triangle
tan20° =
=
( multiply both sides by 950 )
950 × tan20° = h , thus
h ≈ 345.8 ft ( to 1 dec. place )
Answer:
True
Step-by-step explanation:
The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.
Answer:
0
Step-by-step explanation:
Separate into two parts

Simplify:
This is for the first fraction



Now for the second fraction:



Add both parts together

To turn this into the said formula, that would become:

Where:
a=0
b=1
c=1
d=3
Any value with an exponent 0 except zero will be equal to 1