Please help with this and explain how to do it, I'll give 15 points
1 answer:
Answer:
Option (4).
Step-by-step explanation:
Outer diameter of the hollow metallic ball = 10 centimeters
Outer radius of this ball = = 5 cm
Volume of the outer ball =
=
Inner radius of the hollow metallic ball = (5 - 1) = 4 cm
Volume of the inner hollow ball =
Volume of the metal used in the metallic ball =
=
=
Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.
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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
4th degree, so the ends both point in same direction
positive leading coefient so both ends point up
factor it to see wheere the roots are
the roots are r1,r2,r3,r4 in P(x)=(x-r1)(x-r2)(x-r3)(x-r4)
factor
P(x)=(x-3)(x-2)(x+1)(x+3)
the roots are
3,2,-1,-3
disregard negative roots becasue you can't have negative time or something
3 or 2
see my rough graph
here is rough scetch
positive leading coefient so both ends point up
factor it to see wheere the roots are
the roots are r1,r2,r3,r4 in P(x)=(x-r1)(x-r2)(x-r3)(x-r4)
factor
P(x)=(x-3)(x-2)(x+1)(x+3)
the roots are
3,2,-1,-3
disregard negative roots becasue you can't have negative time or something
3 or 2
see my rough graph
here is rough scetch
5x -2y = -10 .....1
3x + 6y =66......2
on multiplying eq. 1 by 3
5x -2y = -10 .....1 ×3
15x -6y =-30
now subtract both equations ,
15x -6y =-30
3x + 6y =66
-___-_____-_
12x =-96
x= -8.
putting value of x in eq 1
5×8 -2y =-10
40 -2y =-10
40-10=2y
50=2y
25=y.