Factoring
16x^2-49
(4x+7)(4x-7)
3/2+2/5
19/10
solve for x
5(-x+2)-19=-2x
5(-x+2)-19=-2x
-5x+10-19=-2x
-5x-9=-2x
-9=3x
-3=x
x^4+16x^15
x^4(1+16x^11)
(7y)/10-3/(4y)
(7y)/10*(4y)/(4y)-3/(4y)*10/10
=(14 y^2-15)/(20 y)
solve for x
-8(3+7/8x)-7(3-3/7x)=3+x-7(8-x)
-24-7x-21+3x=3+x-56+7x
-4x-45=-53+8x
8=12x
x=2/3
128a^4+2a
2a(4a+1)(16a^2-4a+1)
7/(x(x-1))+10/(x-1)-4/x
7/(x(x-1))+10/(x-1)*x/x-4/x*(x-1)/(x-1)
=(7+10x-4x+4)/(x(x-1))
=(6 x+11)/(x^2-x)
(49-x^2)/(x^2+14x+49)
((7-x)(7+x))/(x^2+7x+7x+49)
=((7-x)(7+x))/((x+7)(x+7))
=(7-x)/(x+7) or -1(x-7)/(x+7)
solve for x
2/5x+2/5=-2+x-9/2-6/5x
10(2/5x+2/5=-2+x-9/2-6/5x)
20/5x+20/5=-20+10x-90/2-60/5x
4x+4=-20+10x-45-12x
4x+4=-2x-65
6x=-69
x=-23/2
a couple has budgeted $3800 for their rehearsal dinner. The sales tax is 6.5% and they tip 21%. Write an equation to represent the situation.
x + 0.065x + 0.21x = 3800
36x^4+12x^3+x^2
x^2(36x^2+12x+1)
x^2(36x^2+6x+6x+1)
x^2[6x(6x+1)+1(6x+1)]
x^2(6x+1)^2
(6/(x-1)-6/(y-1))/(x-y)
=(6/(x-1)*(y-1)/(y-1)-6/(y-1)*(x-1)/(x-1))/(x-y)
=(6y-6-6x+6)/((x-1)(y-1))-:(x-y)/1
=((6(y-x))/((x-1)(y-1)))*1/(x-y)
=(-6(x-y))/((x-1)(y-1)(x-y))
=-6/((x-1)(y-1))
(6x^2-17x+10)/(2x^2-x^3)
(6x^2-12x-5x+10)/(x^2(2-x))
=(6x(x-2)-5(x-2))/(x^2(2-x))
=((6x-5)(x-2))/(x^2(2-x))
=(-1(5-6x)(2-x))/(x^2(2-x))
=(5-6x)/x^2
solve for F
C=5/9(F-32)
9/5C=F-32
F=9/5C+32
a couple has budgeted $3800 for their rehearsal dinner. The sales tax is 6.5% and they tip 21%. How much can they spend on their dinner not including the tip and tax? (round to the nearest penny)
$2980.39
x^4 + 2x^2y^2+y^4
x^4+x^2y^2+x^2y^2+y^2
x^2(x^2+y^2)+y^2(x^2+y^2)
(x^2+y^2)^2
(a/b-(16b)/a)/((a-4b)/b)
(a/b*a/a-(16b)/a*b/b)/((a-4b)/b)
=(a^2-16b)/(ab)-:(a-4b)/b
=(a^2-16b)/(ab)*b/(a-4b)
=(b(a-4b)(a+4b))/(ab(a-4b)
=(a+4b)/(a)
((x+h)^2+7(x+h)-(x^2+7x))/h
(x^2+2hx+h^2+7x+7h=x^2+7x)/h
=(h^2+2hx+7h)/h
=(h(h+2x=7))/h
=h+2x+7
Solve for k
S = 2(kl + lw +kw)
S=2kl+2lw+2kw
S-2lw=k(2l+2w)
k=(S-2lw)/(2l+2w)
A apprentice’s pay is 1/4 that of the electrician. If they both worked 10 hours on a job and billed the customer $1350 for labor, what is the hourly pay of each ? Round your answers to the nearest penny.
electricians pay = $108
Apprentice = $27