Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So, 
(equation 1)
x = 38-y
Since, a perfect score is 100 points.
So, 
(equation 2)
Substituting the value of 'x', we get
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.
Answer:
24/36 or simplified 2/3 of a yard
Step-by-step explanation:
2190.5 cm.
360 degrees - 23 degrees = 337 degrees
337 degrees x 6.5 cm = 2190.5 cm
Answer:
9x, 8x+12
Step-by-step explanation:
x(2x+7)-2x(x-1)
=> 9x
