we are given
we will verify each options
option-A:
we can see that f is multiplied by -1
so, it is reflected about x-axis
so, this is TRUE
option-B:
We can see that
3 is multiplied with f
so, it is stretched vertically by 3 units
so, this is TRUE
option-C:
we are given
x+1 inside f
so, it will be translated f(x) to left side by 1 unit
so, this is FALSE
Answer:
P, M, N and C are coplanar, because they are on the same plane.
Noncollinear, because they are not on the same line.
Hope this helps :)
A person can't <span>really tell you whether the ACT or SAT is easier because it depends on your skills. It depends on what you find easier and what you find difficult. You can't really ask someone on this type of stuff because it depends on your skills on the skill that is being taught! But according to some people I know they think the ACT is easier. </span>
Answer:
Bottom left
Step-by-step explanation:
The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²