Answer:
option 4) 3x^2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
<u>Distributive property</u>:-
Distributive property for multiplication
a.(b + c) = a .b + a. c
By using distributive property
3x^2(4x-3) +1(4x-3)
= 3x^2 .4x - 3x^2.3 +4x -3
= 12 x^3-9x^2+4x-3
4b^-6
When u have a negative exponent, u simply take the reciprocal. So the answer is
4/b^6
This is a right triangle (hence the 90° angle), so you'd find the legs (both are the same length of a right triangle) by using Pythagoras Theorem (a2 + b2 = c2) Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2. Like I said before the legs are the same length so you can rewrite it as 36 = 2x2, where x = either a or b. Then just solve for x.
Answer:
5^1
Step-by-step explanation:
(law of indices - fractional powers)
after converting all the numbers to this form:
![\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\](https://tex.z-dn.net/?f=%5Cfrac%7B5%5E%7B%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%7D%20%2A%20%205%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%7D%7B5%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%20%7D%20%5C%5C)
combine using law of indices:
5^(2/3+1/2-1/6) = 5^1
The answer would be x is less than -6 because you’d divide both sides by -5 and then flip the inequality sign (it’s greater than but flip it to less than) then you’d have x is less than -6 :) hope this helps!