Answer:
x=4
Step-by-step explanation:
all you need to do is the 3rd root of 64
which is 4.
X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
(x-8)(x-1)=0
x-8=0
x-8+8=0+8
x=8
x-1=0
x-1+1=0+1
x=1
There are 2 solutions, which are 1 and 8
Answer:
Surface area of cubic box = 376 square inch
Step-by-step explanation:
Given:
Using net diagram
Length of cubic box = 10 inches
Width of cubic box = 6 inches
Height of cubic box = 8 inches
Find:
Surface area of cubic box
Computation:
Surface area of cuboid = 2[(lb) + (bh) + (hl)]
Surface area of cubic box = 2[(10)(6) + (6)(8) + (8)(10)]
Surface area of cubic box = 2[60 + 48 + 80]
Surface area of cubic box = 2[188]
Surface area of cubic box = 376 square inch
f(1) = -8, simply is a way of saying, the 1st value in the arithmetic sequence is -8.
f(n) = f(n-1) - 3, is another way of saying, following values are just, the previous minus -3.
so in short, -3 is the common difference, since that is what we're "adding" to get the new value in the sequence.
![\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ d = -3\\ a_1 = -8 \end{cases} \\\\\\ a_n=-8+(n-1)(-3)\implies a_n=-8-3n+3\implies \stackrel{f(n)}{a_n}=\stackrel{\stackrel{explicit}{\downarrow }}{-3n-5}](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%20%5C%5C%5C%5C%20a_n%3Da_1%2B%28n-1%29d%5Cqquad%20%5Cbegin%7Bcases%7D%20a_n%3Dn%5E%7Bth%7D%5C%20term%5C%5C%20n%3D%5Ctextit%7Bterm%20position%7D%5C%5C%20a_1%3D%5Ctextit%7Bfirst%20term%7D%5C%5C%20d%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20d%20%3D%20-3%5C%5C%20a_1%20%3D%20-8%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20a_n%3D-8%2B%28n-1%29%28-3%29%5Cimplies%20a_n%3D-8-3n%2B3%5Cimplies%20%5Cstackrel%7Bf%28n%29%7D%7Ba_n%7D%3D%5Cstackrel%7B%5Cstackrel%7Bexplicit%7D%7B%5Cdownarrow%20%7D%7D%7B-3n-5%7D)
Answer:
x = 16.5
Step-by-step explanation:
Firstly, open the brackets
6÷15x- 45 = 2÷3x+18
Rewrite the equation as:
6/15x-45 = 2/3x+18
cross multiply
6×3x+18 = 2×15x-45
18x+108 = 30x-90
collect like terms
18x-30x = -90-108
-12x = -198
divide both sides by -12
-12x/-12 = -198/-12
x = 33/2
x = 16.5
