Answer:
3(-2)+2= -4
3(3)+2= 11
3(-0.5)+2= .5
3(1 1/2)+2=6.5
Step-by-step explanation:
just plug them in as x and you get the answer
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
Answer:
dy/dx = -1 /√(1 - x^2).
Step-by-step explanation:
y = arccos x.
So x = cos y
dx / dy = - sin y
dy / dx = -1 / sin y
But sin y = √( 1 - cos^2 y)
But cos y = x , so cos^2y = x^2
Therefore
dy/dx = -1 / √(1 - x^2).
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