Answer:
g(f(x)= x^3+3x^2+3x+1
Step-by-step explanation:
the statement tell us:
f(x) = x + 1
g(x) = x^3
so we have:
g(f(x)=(x + 1)^3
g(f(x)= x^3+3x^2+3x+1
Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2
Square root 80 = 4 x square root 5
because root 80 = root 16 x root 5
The <em>correct answer</em> is:
A) A translation of 4 units to the right followed by a dilation of 2.
Explanation:
3 of our transformations are called isometries. These are transformations that preserve the size and shape of the original figure; they just change the position or orientation of it. Translations, reflections and rotations are all isometries. We know that isometries preserve congruence, since they maintain the size and shape of the original figure.
A dilation is not an isometry. This is because a dilation changes the size of a figure. Since the new figure will not be the same size as the original, they will not be congruent.
