Answer:
range: -3<x<7
Step-by-step explanation:
The curve of this function starts at x=-3 and ends at x=7, so this function's range is : -3<x<7
Answer:
4k+11=4011
Step-by-step explanation:
7k - 3k=4k
4k+11=4011
Answer:
True options: 1, 2 and 5
Step-by-step explanation:
From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)
There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.
The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.
The foci are not placed within the rectangular reference box, so this option is false.
The directrices are vertical lines with equations , so this option is true.
From the start to the end of the 3rd year:
A = P * ( 1 + 0.05 )^6
A = 40,000 * 1.05^6 = $53,603.83
+ $20,000
----------------------
$73,603.83
At the end of the 6th year:
A = 73,603.83 * 1.05^6 = $98,636.16
Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x
Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0
We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.