First of all let x-1=0
x=1
Therefore,
P(x)=2x^4+4x^3-7x^2-kx+9
P(1)=2(1)^4+4(1)^3-7(1)^2-k(1)+9
2(1)+4(1)-7(1)-k+9=0
2+4-7-k+9=0
15-7-k=0
8-k=0
-k=-8
Therefore,k=8
Parent function: y = f(x) = x^2
given function: y = g(x) = 3 (x+1)^2
=> g(x) = 3 * f(x + 1)^2
So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.
Answer:$570
Step-by-step explanation:If it is 900 for 2 walls, and they need 6 walls, then multiply 900 by 3. They would use 2700 bricks for 6 walls. Multiply 2700 by 0.10 to get the price for all the bricks, 270 dollars. If labor to build each wall costs 50 dollars then multiply that by 6 and add it to the 270 dollars. It costs 570 dollars to build 6 walls
An ellipse is divided into two axes, the longer axis is the
major axis and the shorter axis is the minor axis. The length of the major axis
of an ellipse is equal to the sum of two distance: the distance between any
point on the ellipse and one on focus and the distance between the same point
and the other focus. The focus is the point that helps define an ellipse and
every ellipse has two foci. These two distance are also called the red line
segment and blue line segment. Given 6 for red line segment and 4 for blue line
segment therefore, the length of the major axis of the ellipse is 10.
