Answer:
Step-by-step explanation:
This is horizontal parabola.
It has a directrix at x=-6.
The vertex is (0,0).
The focus is (6,0)
The equation of this parabola is of the form
Where (p,0) is the focus
By comparison, p=6
Therefore the equation of the parabola is
This implies that
The basic equation for interest is the investment amount(x) times the time in years(y) times the percent of interest(z).
That makes the equation:
x·y·z= amount with interest.
Lets plug in the numbers:
$900 x 1.5 x 2.4%
Now turn the percent into a decimal:
2.4% ----> .024
Now the equation is:
$900 x 1.5 x .024
Now do the math:
$900 x 1.5 = 1350
1350 x .024 = 32.4
1350 + 32.4 = 1382.4
The final answer is $1382.40
Hope this helps!
Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
Axis of Symmetry: x = 3
Vertex: (3, 5)
Step-by-step explanation:
Use a graphing calc.
