Answer:
answer: 9/40
Step-by-step explanation:
18 ÷ 2 = 9 and 80 ÷ 2 = 40 and you can't go any further so 9/40 is the answer.
Answer:
17 · d or d·7
Step-by-step explanation:
sorry i don't know if you would reverse it so it's one of those answers
![5x-2y+z=-1 \\ 2x+y+2z=6 \\ x-3y-z=-5](https://tex.z-dn.net/?f=5x-2y%2Bz%3D-1%20%5C%5C%202x%2By%2B2z%3D6%20%5C%5C%20x-3y-z%3D-5)
firat we need to get two equation with two varibles let us work on x,y
so adding the first and last one will yield
![5x-2y+z=-1 \\ x-3y-z=-5 \\ -------- \\ 6x-5y=-6](https://tex.z-dn.net/?f=5x-2y%2Bz%3D-1%20%5C%5C%20x-3y-z%3D-5%20%5C%5C%20--------%20%5C%5C%206x-5y%3D-6)
now we since we used the first and third we need to use the second to get a correct system.let us multiply the third by 2 then add the second and third
![x-2y-z=-5 \\ multiply2 \\ 2x-4y-2z=-10 \\ 2x+y+2z=6 \\ -------- \\ 4x-3y=-4](https://tex.z-dn.net/?f=x-2y-z%3D-5%20%5C%5C%20multiply2%20%5C%5C%202x-4y-2z%3D-10%20%5C%5C%202x%2By%2B2z%3D6%20%5C%5C%20--------%20%5C%5C%204x-3y%3D-4)
now we have two equation with the variables x and y
![6x-5y=-6 \\ 4x-3y=-4](https://tex.z-dn.net/?f=6x-5y%3D-6%20%5C%5C%204x-3y%3D-4)
you can solve it algebraically but you can see that the only solution possible is y=0 and x=-1 we have the values for x and y let us choose one of the three main equation and substitute to get z let us pick the first equation 5x-2y+z=-1-->5(-1)-2(0)+z=-1---->-5+z=-1-------->z=4
to make sure the system works let us check by substituting into the three equations
the first one will be 5x-2y+z=-1--->5(-1)-2(0)+4=-1---->-5+4=-1--->-1=-1 first equation holds
the second equation 3x+y+2z=6---->2(-1)+0+2(4)=6--->-2+8=-6--->-6=-6 second equation holds
the third equation x-3y-z=-5----->-1-3(0)-4=-5---->-1-4=-5--->-5=-5
our third equation also holds which makes our solution correct
x=-1,y=0,z=4
Solution:
we have been asked to write the given function in vertex form
![p(x) =-8x^2-64x](https://tex.z-dn.net/?f=p%28x%29%20%3D-8x%5E2-64x)
As we know that the vertex form is
![p(x) = a(x-h)^2 + k](https://tex.z-dn.net/?f=p%28x%29%20%3D%20a%28x-h%29%5E2%20%2B%20k)
So Re-write the P(x) in the above form
![p(x) =-8x^2-64x\\ \\ P(x)=-8[x^2+8]\\ \\ P(x)=-8[x^2+2.x.4+4^2-4^2]\\ \\ p(x)=-8[(x+4)^2-16]\\ \\ P(x)=-8(x+4)^2+128\\](https://tex.z-dn.net/?f=p%28x%29%20%3D-8x%5E2-64x%5C%5C%0A%5C%5C%0AP%28x%29%3D-8%5Bx%5E2%2B8%5D%5C%5C%0A%5C%5C%0AP%28x%29%3D-8%5Bx%5E2%2B2.x.4%2B4%5E2-4%5E2%5D%5C%5C%0A%5C%5C%0Ap%28x%29%3D-8%5B%28x%2B4%29%5E2-16%5D%5C%5C%0A%5C%5C%0AP%28x%29%3D-8%28x%2B4%29%5E2%2B128%5C%5C)
So we have ![a=-8, h=-4, k=128](https://tex.z-dn.net/?f=a%3D-8%2C%20h%3D-4%2C%20k%3D128)
vertically stretch the graph by a factor of 8
Shift the parent function Up by 128 units.
Shift parent function left by 4 units.
Step-by-step explanation:
75,000 -11,500=63,500 for stadium b
stadium c is 6,800 more than b
63,500+6,800 is 70,300 for c