Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Vertex form is
y = a(x - b)^2 + c
here a = -3 and b = -18 so we have
y = a(x + 3)^2 - 18
when x = 0 , y= 0 ( the y-intercept) so:-
0 = a(3^)2 - 18
9a = 18
a = 2
so the parabola is y = 2(x + 3)^2 - 18
x intercepts found as follows:-
2(x + 3)^2 - 18 = 0
(x + 3)^2 = 9
x + 3 = +/- sqrt9 = +/- 3
so x intercepts are 0 and -6 Answer
The yearly income that matt can expect from his stock is $920,040.
<h3>
Stock yearly income to expect:</h3>
Using this formula
Yearly income=Number of shares of preferred stock × Share return
Where:
Number of shares of preferred stock=492,000 shares
Share return=$1.87
Let plug in the formula
Yearly income=492,000×$1.87
Yearly income=$920,040
Inconclusion the yearly income that matt can expect from his stock is $920,040.
Learn more about yearly income here:brainly.com/question/8508440
Answer:
use multiple the numbers to get the co rrect
Step-by-step explanation:
32×6
=192
29×7=203
Step-by-step explanation:
General equation of a line in slope intercept form is given by
y = mx+c
where m is slope and c is y-intercept
Here, y = 5x+9
