This question is worded badly, so don't be alarmed.
Obviously if this were a square patter the number of red tiles could only be 1,4,9,16,25,36 etc and this is not the numbers given...It would help tremendously if they gave you another reference point so as to know how the tiles were being laid out.
If they are laid out alongside one another with a consistent border for each you wouldn't need 12 blue tiles for each red tile either...if two were laid side by side you would only need 20 blue tiles to have the border around both...you see how the arrangement makes a huge difference and you are given no details as to what that arrangement is...
So just to keep it simple, assume that each red tile is surrounded by 12 blue tiles....
Total tiles equals r+12r=13r
t=13r so
t(15)=195, t(20)=260, t(25)=325, t(30)=390
I actually posted this a while ago and it got answerd by a smart person so here's what I understood
the error is that it assumes that √(x²)=x
because if x is negative, it becomes positive
that's how the 2nd line is wrong
the 2nd line is the first wrong step
it goes from 4-9/2+9/2
so it goes from 4-4.5+4.5
notice the part under the parenthsees
√((4-4.5)²)
if we evaluate 4-4.5, we get -0.5
but by squaring it we get 0.5
-0.5+4.5=4, yes
but when we square it we get
0.5+4.5=5, that is how it works
The square root of 224 is: 14.9666295471
Answer:
Step-by-step explanation:
The x intercepts are 0 and
1000 - 2x = 0 given condition
1000 = 2x Divide by 2
500 = x
So the two intercepts are 0,0 and 500,0
The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.
The answer to the B part is completing the square.
r(x) = - 2x^2 + 1000x
r(x) = -2(x^2 - 500x )
1/2 ( 500) = 250
250^2 is what you put inside the bracket's to complete the square.
r(x) = - 2(x^2 - 500x + 250^2) + 2*250^2
r(x) = -2(x - 250)^2 + 2*62500
r(x) = - 2(x - 250)^2 + 125000
They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.
-7d > 21
d < -3
Remember the sign flips when you multiply or divide by a negative number.