What number is 7 units to the left of -1? a.6 b.-6 c.-8 d.8
2 answers:
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Answer with Step-by-step explanation:
We are given that function f(x) which is quadratic function.
x -intercept of function f(x) at (-1,0) and (-3,0)
x-Intercept of f means zeroes of f
x=-1 and x=-3
Range of f =[-4,)
g(x)=
Therefore, x-intercept of g(x) at (-1,0) and (-3,0).
Substitute x=-2
By comparing with the equation of parabola
Where vertex=(h,k)
We get vertex of g(x)=(-2,-2)
Range of g(x)=[-2,)
Zeroes of f and g are same .
But range of f and g are different.
Range of f contains -3 and -4 but range of g does not contain -3 and -4.
f and g are both quadratic functions.
Set up the following equations:
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.
110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:
Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.
Plug this value into the second equation:
Add W to both sides:
Subtract 20 from both sides:
The width of the rectangle is 45 feet.