Answer
Find out the how many women were there .
To prove
Let us assume that the x is the scalar multiple of men and women.
As given
The ratio of men to women was 3 : 2.
Than
The total number of men = 3x
The total number of women = 2x
As given
If 120 men used the gym.
thus
120 = 3x
x = 40
The total number of women = 2 × 40
= 80
Therefore 80 women were there in the gym .
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation
or
We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value
The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values
