![64 x^{3} -125](https://tex.z-dn.net/?f=64%20x%5E%7B3%7D%20-125)
=
![(4x)^{3} - 5^{3}](https://tex.z-dn.net/?f=%284x%29%5E%7B3%7D%20-%205%5E%7B3%7D%20)
------> because,
![(4x)^{3}](https://tex.z-dn.net/?f=%284x%29%5E%7B3%7D)
is same as 64x³ and
![5^{3}](https://tex.z-dn.net/?f=5%5E%7B3%7D%20)
is same as 125
Using the formula:
![a^{3}- b^{3} =(a-b)(a ^{2} +ab+b ^{2} )](https://tex.z-dn.net/?f=%20a%5E%7B3%7D-%20b%5E%7B3%7D%20%20%3D%28a-b%29%28a%20%5E%7B2%7D%20%2Bab%2Bb%20%5E%7B2%7D%20%29)
, we get,
=
![(4x -5)((4x)^{2} +4x*5+ 5^{2} )](https://tex.z-dn.net/?f=%284x%20-5%29%28%284x%29%5E%7B2%7D%20%2B4x%2A5%2B%205%5E%7B2%7D%20%29)
=
![(4x -5)(16 x^{2} +20x+25)](https://tex.z-dn.net/?f=%284x%20-5%29%2816%20x%5E%7B2%7D%20%2B20x%2B25%29)
------>that's your answer!!
320(1.45)=464
The new price of the guitar is $464.
Hope this helps!
Pemdas
so simplify inside parenthasees first
the innermost is 2/3-1/3 which is 1/3
we get
7/3+3(1/3)^2
next, exponent, comes before multiply
(1/3)^2=(1^2)/(3^2)=1/9
we get
7/3+3(1/9)
multiply
7/3+1/3
add
8/3
Answer:
M<GEF=30
M<DEF=40
Step-by-step explanation:
First you want to solve for x. to do that you put both of the equations together and make it equal to 70 since M<GED=70. so you would get 2x+10+5x-10=70.
when you solve that you get x=10. next you substitute x with 10 in the other equations to solve for the unknown measure angle. So M<GEF=2(10)+10 and M<DEF=5(10)-10. When you solve that you get M<GEF=30 and M<DEF=40. you can check this by adding them together and they add up to 70 which is the M<=GED.
Answer:
B
Step-by-step explanation:
9000-500 = 8500
8500 × (3/100) =255
8500 + 255 = 8755
8755 × (3/100) = 262.65
8755 + 262.65 = 9017.65
hence, the answer is B
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