A suitable calculator can row-reduce the augmented matrix.
first number: 3
second number: 1
third number: 8
first number: 3
second number: 1
third number: 8
Approximently how many inches are in 2500 millimeters
2 answers:
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Answer:
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the origin (0,0)
This is a vertical parabola open downward
The vertex is a maximum
The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.
Find the vertex of g(x)
Convert to vertex form
Complete the square
The vertex is the point (10,50)
so
To translate the vertex of (0,0) to (10,50)
The rule of the translation is
(x,y) ------> (x+10,y+50)
That means ----> The translation is 10 units at right and 50 units up
therefore
The transformations are
The graph of f(x) is shifted up 50 units
The graph of f(x) is shifted right 10 units
The graph of f(x) is reflected over the x-axis
Answer:
the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
Step-by-step explanation:
Given that:
1000 cylindrical metal bars have :
a length of 120 m
and a diameter of 0.2 m
The volume of the cylindrical bar can be calculated by the formula:
where ;
radius
r = 0.1 m
the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m
Thus the volume can now be calculated as follows:
V = 3.77 m³
So; from the given information.
One litre of paint will cover 4m³
and we want to find how many litres of paint will be used for the 1000 cylindrical bars.
If 1 litre = 4m³
Then x litre = 3.77 m³
4x = 1 × 3.77
x = 0.9425 litres
x = 1 litres to the nearest litres.
Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre