Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
Answer: f(x) = -3x + 4
Step-by-step explanation:
The function is represented by
9x + 3y= 12
This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes
9x + 3y= 12
Subtracting 9x from both sides,
9x -9x + 3y = 12 - 9x
3y = 12-9x
Dividing the lefthand side and right hand side of the equation by 3, it becomes
3y/3 = (12-9x)/3
y= -3x + 4
using function notation,
y = f(x) = -3x + 4
Answer:
On a coordinate plane, a parabola opens up
It goes through (negative 3, 0), has a vertex at (negative 0.5, negative 6.25), and goes through (2, 0).
Step-by-step explanation:
f(x) = (x + 3)(x – 2)
We know that parabola opens up since the x^2 term is be positive
it has zeros at x=-3 and x=2
x+3 =0 and x-2 =0 from the zero product property
The vertex is halfway between the zeros
(-3+2)/2 = -1/2
x=-1/2
f(-1/2) = (-1/2+3) (-1/2-2) = 2.5 * -2.5 =-6.25
The vertex is (-1/2, -6.25)
Answer: 5
Step-by-step explanation: We can use the Pythagorean Theorum here.
4^2 + x^2 = 7^2
16+ x^2 = 49
x^2 = 25
x = 5
Answer:
the answer to your question would be 8
Step-by-step explanation:
