Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
Answer:
Step-by-step explanation:
2(x - 8) = 24
2x - 16 = 24
Bringing like terms on one side
2x = 24 + 16
2x = 40
x = 40/ 2
x = 20
In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.
Next, since we want x to be smaller, draw an arrow pointing towards all numbers that are smaller. This arrow would point to the left.
Answer:
A coordinate system,or Coordinate plain ,is used to locate points in a 2-dimensional plane.
explanation:
A coordinate plain is formed by the intersection of two lines.One line is vertical and the other is horizontal.The vertical line is called y- axis and the horizontal line is called x-axis. It is two dimensional plane,which means it has length and breadth but no depth.The point where both the lines intersect is called the point of origin.Any point can be located on the coordinate plain by numbers(x,y). These pair of numbers are called coordinates.
It is used to plot points and lines.This system explains algebraic concepts .it has four equal divisions called quadrants namely I ,II,III,IV.
Answer:
Step-by-step explanation:
There was no figure but the question is clear
Volume of a cylinder is given by the formula 
where r is radius of base of cylinder, h is the height
Volume of a cone is given by 
where r is the radius of base of cone, h is the height
The radius of the cylinder = 
(diameter) = (12) = 6cm
Height of cylinder = 15cm
Volume of cylinder 
Radius of cone = (radius of cylinder) = (6) = 3 cm
Height of cone same as height of cylinder = 15cm
Volume of cone, 
Difference is the volume of the remaining solid
