In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
Answer:
88 Tickets were sold
Step-by-step explanation:
20*$4=$80
$216-$80=$136
$136/2=68
20+68=88 tickets
Answer:
69 feet
Step-by-step explanation:
we have

where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to

where
(h,k) is the vertex of the parabola







the vertex is the point (2,69)
therefore
The maximum height is 69 ft
Answer:
X>50
X>-51
Step-by-step explanation:
6+x>56
56+x>5
separate the equation into different equations by the sign
I) 6+x>56
x>56-6
x>50
ii) 56+x>5
x>5-56
x>-51
Answer:
5 units
Step-by-step explanation;
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units