Answer:
x intercept: (3, 0), (7, 0)
y-intercept: (0, -21)
vertex : (5,4)
the graph points down
Step-by-step explanation:
f(x) = - (x - 3)(x - 7)
f(x) = - (x^2 - 7x - 3x + 21)
f(x) = - (x^2 - 10x + 21)
f(x) = -x^2 + 10x - 21
x-intercept when f(x) = 0 so
x - 3 = 0; x = 3
x - 7 = 0; x = 7
x intercept: (3, 0), (7, 0)
y-intercept when x = 0 so y = -21
y-intercept: (0, -21)
vertex:
x = -b/2a
x = -10/ 2(-1)
x = 5
plug in x = 5 into the equation to find y
y = -(5)^2 + 10(5) - 21
y = -25 + 50 - 21
y = 4
so vertex : (5,4)
Since a = - 1<0, the graph is going downward and has maximum
Answer:
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 6.5
Therefore,
Area = 6.5² × 5 × tan(180/5)
Area = 211.25 × tan 36
Area = 153.5
Answer:
d
Step-by-step explanation:
This should be the graph that goes with this equation.
hope this helps!
4x - 5 = 6x + 11
10 x - 16
10 divided by 10 = x
16 divided by 10 = 1.6
x = 1.6
I think.