Step-by-step explanation:
g(x) = ax²+bx+c
g(x)=−3x²−6x+5
a = -3, b= -6, c = 5
since a <0 , the function has only maximum value.
=> g'(x) = 0
-6x -6 = 0
-6x = 6
x = -1
the maximum value => g(-1) =
-3(-1)²-6(-1)+5 = -3+6+5 = 9
the domain : {x | x € Real numbers}
the range : {y| y ≤ 9, y € Real numbers}
the function is increasing for x < -1
the function is decreasing for x > -1
It would be a conjunction
Answer:
B. They will all be similar
Step-by-step explanation:
You can make as many different size triangles as you like. The angles alone do not constrain the size, only the shape. The triangles you make will all be similar.
Answer:
y=17
Step-by-step explanation:
subtract 3 from both sides.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
So the slope is:
Thus, the equation of the line is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer:
