Answer:
25% increase
Step-by-step explanation:
final value (20) -minus- starting value (16)
-------------------divided by ---------------- times * 100
starting value (20)
4
--- x 100
20
25%
1) 
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2) 
To find the x- intercept, plug y =0



x intercept = (2,0)
To find the y- intercept, plug x=0


Y- intercept = ( 0,3)
3) 
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle = 
Area of triangle = 
Area =
sq unit.
4) The graphs of
and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB = 
Slope intercept of line 
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.


Equation of line AB: 
Slope of BC = 
Plug C = (0,-4)

b=-4
equation of line BC= 
Slope of line AC = 
Equation of line AC = 
Y intercept of AB = 
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
Answer:
3/13.
Step-by-step explanation:
There are 12 face cards: 3 of each of the 4 suits.
Since there are 52 cards in one deck, 12/52 = 3/13.
children playing soccer, m
number of teams = 4
number if kids per team, f(m) = m/4