
How do you simplify #sqrt(32x^3)#? - Socratic
2016年3月14日 · #sqrt(32x^3# #=sqrt (32 * color(purple) ( x^2) * x^1# Simplifying #sqrt32#; #sqrt(32) = sqrt(2*2*2*2*2) = sqrt(color(blue)(2^2 * 2^2) * 2)=color(blue)( 2 *2) sqrt2 ...
How do you factor 32x^3 - 4? - Socratic
2016年2月7日 · the given : #32x^3-4# common monomial factor #=4# factor out #4# first #4(8x^3-1)# use the "difference of two cubes " form. #a^3-b^3=(a-b)(a^2+ab+b^2)# for #8x^3-1# so that #8x^3-1=(2x-1)(4x^2+2x+1)# final answer #32x^3-4=4*(2x-1)(4x^2+2x+1)#
How do you solve 2^(x-3)=32? - Socratic
2018年7月4日 · color(blue)(x=8) 2^(x-3)=32 Notice: 32=2^5 Therefore: 2^(x-3)=2^5 Since both bases are equal, then both exponents are equal: :. x-3=5 x=8
How do you solve x^2-3x-32>0? - Socratic
#{: ("both terms are positive","or","both terms are negative"), (x>(3+sqrt(137))/2,,x < (3-sqrt(137))/2) :}# If you like you could use a calculator to evaluate these irrational expressions: #x > 7.352349955color(white)("XX")orcolor(white)("XX")x < -4.35234995# We could verify that these results are reasonable by examining the graph of #x^2-3x ...
How do you simplify #32^(3/5)#? - Socratic
2016年5月16日 · How do you simplify #32^(3/5)#? Algebra Exponents and Exponential Functions Fractional Exponents. 1 Answer
Your mother gave you $13.32 with which to buy a present. This …
2016年10月29日 · #3/5# th of the cost is #13.32#. When "translating" words to an equation, "of" means multiplication and "is" means equal. Let #x=# the cost. #3/5 x = 13.32# Multiply both sides by #5/3# #5/3 * 3/5 x = 5/3 * 13.32# #cancel5/cancel3 * cancel3/cancel5 x = (5*13.32)/3# #x=22.2#, so the cost of the present is #$22.20#.
What are all the possible rational zeros for f(x)=32x^3-52x
2016年8月22日 · f(x) has zeros 1, -1/8 and 3/4 >f(x) = 32x^3-52x^2+17x+3 By the rational roots theorem, any rational zeros of f(x) are expressible in the form p/q for integers p, q with p a divisor of the constant term 3 and q a divisor of the coefficient 32 of the leading term.
How do you solve 4^ { x - 3} = 32? + Example - Socratic
2016年11月1日 · x = 11/2 = 5 1/2 = 5.5 When you have a variable in the index, you are working with an exponential equation. There are 2 types of exponential equations those that can be calculated by using known powers, and those that need to be calculated using logs and a calculator. This example is an example of the former, because both bases are powers of 2. …
A box with a square base and open top must have a volume of …
2015年4月15日 · The Volume of a box with a square base x by x cm and height h cm is V=x^2h The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. The surface area of the box described is A=x^2 +4xh We need A as a function of x alone, so we'll use the fact that V=x^2h = 32,000 …
How do you simplify #(-32)^(3/5)#? - Socratic
2017年6月20日 · -8 (-32)^(3/5) = ((-2)^5)^(3/5) = (-2)^(5*3/5) = (-2)^3 = =-8. 8134 views around the world ...