Answer:
area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
Step-by-step explanation:
- let, the shape of the bulletin board is a rectangle,
- then the perimeter of it = sum of all sides
= 2[length+width] = 2[l+w]
(let l: length, w : width )
100= l+w ( dividing both the sides by 2)
so, l= 100-w
- area = length*width=l*w=[100-w]*w
- therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
See attached image for work.
To me, do the math using compatible number, means to estimate
7233 can round to 8000
and 84 can round to 80
now, this makes it easy, you can do it mentally, which is 100
In more detailed,
7233 can round to 7225
and 84 can round to 85
then, (not so obvious, but however) 85 times 85 equal 7225
so the compatible number of 7233 divided by 84, is 7225 and 85
I know it's a bit late, but hope it helps
Answer:
![\frac{3b\sqrt[3]{c^{2}} }{a^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3b%5Csqrt%5B3%5D%7Bc%5E%7B2%7D%7D%20%7D%7Ba%5E%7B2%7D%20%7D)
Step-by-step explanation:
∛(27a⁻⁶b³c²)
To simplify, first apply the cube root the each of the terms. Keep in mind this rule: ![\sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m} = a^{m/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%20%20%3D%20%28%5Csqrt%5Bn%5D%7Ba%7D%29%5E%7Bm%7D%20%3D%20a%5E%7Bm%2Fn%7D)
∛27 = 3 (because 3*3*3 = 27)
∛a⁻⁶ = 
= 
= 
∛b³ = 
= 
= b
∛c² = 
∛(27a⁻⁶b³c²)
=
Simplified form generally follows these rules:
No negative exponents
No fraction exponents
Keep in fractional form
Reduce numerical values
