Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
Answer:
71.915
Step-by-step explanation:
Answer:
area = 202.5 yd²
Step-by-step explanation:
area = (15 x 12 ) + (3)(15)(0.5)
area = 180 + 22.5 = 202.5 yd²
It looks like you are trying to factor a quadratic. So you are looking for the numbers that when you multiply them, you get the top number (100), but when you add them you get the bottom number (-20).
Those two numbers are -10 and -10.
Hope that helps!
The short answer is to solve one equation for one variable, then swap that variable in a different equation.
Example:
2x + 2y = 6
y-x = 1
Step 1: solve either equation for a variable: (#2) y = x+1
Step 2: substitute for your solved variable (I can substitute x+1 for y)
(#1) 2x + 2(x+1) = 6
2x + 2x + 2 = 6
4x + 2 = 6
4x = 4
x = 1
now use x=1 to solve for y in either original equation
