Answer:
A quadratic function whose zeros are 2 and 7 is f(x) = x^2 - 9x + 14
If the zeros of a quadratic function are a and b, the quadratic function will be given as:
f(x) = (x - a)(x - b)
For the function f(x) whose zeros are 2 and 7:
f(x) = (x - 2)(x - 7)
Expand the equation
f(x)= x^2 - 7x - 2x + 14
f(x) = x^2 - 9x + 14
Therefore, a quadratic function whose zeros are 2 and 7 is
f(x) = x^2 - 9x + 14
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>x-coordinate of the vertex is:</u>
<u>The axis of symmetry is the vertical line that passes through the vertex:</u>
- x = -3 is the line we need
Use photo math , I’m sure it will help
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Answer:
Step-by-step explanation:
Trapezoid
Solve for area
A=44
a Base
5
b Base
17
h Height
4