Answer:
4:2:1 is common ratio for 4,2, and 1
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.
39/7
7 can fit into 39 as a whole 5 times
you then have 4 left over
5 4/7
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared
Answer:
3x²+6x+2
Step-by-step explanation:
f(x)+g(x)-h(x)
=(3x+5)+(4x²-2)-(x²-3x+1)
=3x+5+4x²-2-x²+3x-1
=6x²+2+3x
=3x²+6x+2 (rearrange)