Answer:
Option C is correct.
Step-by-step explanation:
y = x^2+4x+5
We need to find the vertex of the above equation.
The above equation represents the parabola.
The slope of parabola can be found by taking derivative of the given equation
dy/dx = 2x+4
The slope of the parabola at the vertex is zero SO,
2x+4 = 0
2x = -4
x = -4/2
x = -2
Putting value of x =-2 to find the value of y
y = x^2+4x+5
y =(-2)^2+4(-2)+5
y = 4-8+5
y =9-8
y = 1
So, the vertex is (-2,1)
Option C is correct.
Answer:
x = 21.
Step-by-step explanation:
AS there are parallel lines:
4/12 = 7/x
4x = 84
x = 84/4 = 21.
Um, 150000? Don't write this inmetily because it may be wrong.
Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2
Answer:
Alternative C is the correct answer
Step-by-step explanation:
The first step is to determine the composite function;
![f[g(x)]](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D)
![f[g(x)]=cos[cot(x)]](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3Dcos%5Bcot%28x%29%5D)
We then employ a graphing utility to determine the range and the domain of the new function.
The range is the set of y-values for which the function is defined. In this case it is;
![[-1,1]](https://tex.z-dn.net/?f=%5B-1%2C1%5D)
On the other hand, the domain refers to the set of the x-values for which the function is real and defined. In this case; it is the set of real numbers x except x does not equal npi for all integers n.