Answer:
min f(x) = 3.95 (for x= 2.5)
Step-by-step explanation:
vertex (x) = 1/0,4 = 2,5
vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95
F(x) = x
stretch by 3:
f(x) = 3x
flip over x-axis
g(x) = -3x
answer is C. g(x) = -3x
Answer:
the answer is 4 hours
Step-by-step explanation:
42-10=32
for the gas money
32 divided by 8 =4 hours
Answer:
Step-by-step explanation:
A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)
Find the distance of sides using distance formula.
Distance = 
A (1 ,7) , B(4, 2)
![AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%282-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%20%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Csqrt%7B9%2B25%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%28-1-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%20%20%20%3D%20%5Csqrt%7B25%2B9%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-4-%5B-1%5D%29%5E%7B2%7D%2B%284-%5B-1%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-4%2B1%29%5E%7B2%7D%2B%284%2B1%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B25%7D%20%3D%20%20%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CAD%20%3D%20%5Csqrt%7B%28-4-1%29%5E%7B2%7D%2B%284-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%3D%5Csqrt%7B25%2B9%7D%20%3D%20%20%5Csqrt%7B34%7D%20units)
AB = BC = CD = AD = √34 units. so , ABCD is a square.
Area of square = side * side
= √34 * √34
= 34 square units