Answer:
Hello :
y = 2x² - x -6
y = 2 ( x² - 1/2 x - 3)
y = 2 (x² -1/2 x + 1/16 -1/16 -3)
y = 2 (( x - 1/4 )² - 49/16)..... the quadratic formula
y = 0 : ( x - 1/4 )² - 49/16 = 0
( x - 1/4 )² - (7/4)² = 0
( x -1/4-7/4)( x -1/4+7/4)=0
(x -2)(x + 3/2) = 0
x - 2 = 0 or x + 3/2 =0
x = 2 or x = - 3/2
Answer:
Step-by-step explanation:
Standard form:
Vertex form:
(h, k) is the vertex
x is the coordinate of the vertex
To find x use the formula:
a=1
b=-2
c=-6
Substitute:
Substitute x in equation:
h=1
k=-7
Substitute h, and k into the vertex formula:
The quick way to do this is to multiply the bill by 1, mult. it again by 0.18, and then add the two results together.
Better and faster: Mult. the bill amount ($42.75) by 1.18:
1.18($42.75) = $50.45 (answer)
5n = 10^2
n = 20 Because 5 × 20 = 100
<span>Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5.
Therefore sin q = 4/5.</span>
