Mathematics

How do i find the x intercepts of r(x)=-2/3x^3+x^2

I need help finding the x intercepts as well as the y intercept.Thankyou for your time.-You can find the y-intercept by setting x equal to zero. r(0) = -2/3(0)^3 + (0)^2 r(0) = 0 So, the y-intercept

Mathematics integral problem

Please integrate step by step using the partial fractions method: INT (((1+x)^2)/((x)(1+x^(2)))) dx Thank you in advance.-There is no need to use substitution for this integral as the above answerer

What is the date for 500 days before May 23

month and day-January 8 One year before: May 23 - 365 = May 23. Leaves 500 - 366 = 135. 135 - (days in May: 23) - (days in April: 30) - (days in March: 31) - (days in February: 28) = 135 - 23 - 30

MATH HELP PLZ !!!!! SOMEONE !!!

SOLVE THE EQUATION : 1. -4x+4(2x-3)=-3-5x A. 1B. -1C.15 D. -5/3 2. 6x-(2x-1)=2 A.1/4B.-1/8C.1/8 D.-1/4--4x+8x-12=--3-5x -4x+8x+5x=-3+12 9x=9=>x=1 6x-2x+1=2 4x=1=>x=1/4-1) -4x + 8x - 12 = -3

8th grade inequalities

Justin wants to earn at least $6.50 per hour and knows the most his company will pay is $9.25 per hour. Represent his possible pay rate in an inequality.-Let x = acceptable pay rate. 6.50 ≤ x ≤ 9.25

Simplify : sq root of{(x+3)^2+y^2} + sq root of {(X-3)^2 + Y^2}= 8

1) √{(x+3)² + y²} + √{(x-3)² + y²} = 8 [Given] 2) ==> √{(x+3)² + y²}= 8 - √{(x-3)² + y²} 3) Squaring both sides, {(x+3)² + y²}= 64 + {(x-3)² + y²} - 16√{(x-3)² + y²} 4) Expanding and simplifying,

How do you find the domain of the function: f(x) = ln(x+4) + ln(8-5x)

Please help :(-What restricts the domain? The fact that the argument of ln has to be positive. So there are two restrictions x has to satisfy. x + 4 > 0 8 - 5x > 0 Work out the set of x satisfying b

Help with synthetic division

Using synthetic division, what is the quotient: (y3 – 6y2 + 10y – 9) ÷ (y – 3) ? a)y2 + 3y + 1 b)y2 – 3y + 1 c)y2 – 3y + 1 – 6 over the quantity of y minus 3 d)y2 – 5y – 18-(c)

Derivative and tangent question

Find the constant a so that the graph of y=1/(ax+2) has tangent y=4y+3x-2=0 at the point (0,1/2) Please show work. Thanks in advance!-y = 4y + 3x - 2 = 0 y = (2 - 3x)/4 -->m = -3/4 y = -a/(ax + 2)

Find f(x)= lnx / x^12, find f'(1).

ln x / x^12 find f(1).-To make this easier to differentiate, re-write f(x) as a product with a negative exponent of x to get: f(x) = ln(x)*x^(-12). Using the Product Rule: f(x) = (1/x)x^(-12) + ln(

How do I find the equation of this line? (3D calc)

How do I find the equation of a line joining two points A=(1,2,3) B=(-1,2,5) : a) In vector form b) in symmetric scalar form c) in parametric form I think the text book I am using has different termi

How much electricity is consumed

Dear Readers, A couple of months before, I rented a house, where there is only one regular electricity meter installed. There is also a family in the upper portion who installed a secondary meter. Th

What are the real zeros of polynomial 4x^3-14x^2+25

Please show how to approach this problem thankyou for your time.-(2x-5)(2x^2-2x-5) so roots are 5/2 ,1/2(1+sqrt11) and 1/2(1-sqrt11)

What is (sin(x))^2 and (cos(x))^2

Sin[x]^2 = 1/2 (1 - Cos[2 x]) ------------------------ Cos[x]^2 1/2 (1 + Cos[2 x])-1 (sin(x))^2 + (cos(x))^2 = 1 (im taking and as plus, like when people say what is one and one, they mean on

How to solve this laplace transform

Find the inverse laplace transform of the given function: F(s)= (3e^-6s)/(s^2-9) uc(t) denotes the heaviside function, which is 0 for t=c a.u6(t)sinh3(t-6) b.sinh((t-6)/3) c.u6(t)cos((t-3)/6) d.u6((t