Step-by-step explanation:
1.Get the equation in the form y = ax2 + bx + c.
2.Calculate -b / 2a. This is the x-coordinate of the vertex.
3.To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
The domain is the numbers you can use for x
so the domain is 4
the range is the possible y values we get from that domain
we get all real numbers because it goes up and down infinitey
domain is 4
range is all real numbers
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
Answer:
Incorrect. 1 solution.
Step-by-step explanation:
Mark is incorrect because to find x from 8x=48 you must perform the following steps:
Divide the 8 from both sides resulting in
x=6
