y = log3 ( x + 1) we can write
3^y = x + 1 subtract 1 from both sides
3^y - 1 = x swap x, y
3^x - 1 = y for y, write f-1(x)
f-1(x) = 3^x - 1
y = ln(x) exponentiate both sides
e^y = e^(ln x)
e^y = x swap x, y
e^x = y for y, write f-1(x)
e^x = f-1(x)
(22 - 2) * 180 = 20 * 180 = 3600°
greater than
x^2-10x+y^2+8y=18 complete the square on x, y
x^2 -10x + 25 + y^2 + 8y + 16 = 18 + 25 + 16
(x - 5)^2 + (y + 4)^2 = 59
The radius = sqrt (59) ≈ 7.7 units
C = 25n + 5200
Cost to produce 3400 toys =
25(3400) + 5200 = $ 90,200
55,200 = 25n + 5200 subtract 5200 from both sides
50000 = 25n divide both sides by 25
2000 = n = toys produced
I assume this is :
9(y-4) = -10(y + 2 + 1 / 3) simplify
9y - 36 = -10(y + 7/3)
9y - 36 = -10y - 70/3 add 10y, 36 to both sides
19y = 36 - 70/3
19y = 108/3 - 70/3
19y = 38/3 divide both sides by 19
y = 2/3
P(x) =
(x - 0) ( x - 4) (x - - 2)
x ( x - 4) (x + 2)
x ( x^2 - 4x + 2x - 8)
x(x^2 - 2x - 8)
x^3 - 2x^2 - 8x
Angle SRV is supplemental to angle MNV....so,,,
SRV + 116 = 180 subtract 116 from both sides
SRV = 64°
(n - 2)*180 = 900 divide both sides by 180
n - 2 = 5 add 2 to both sides
n = 7
Write
y = ln ( x - 3) exponentiate both sides
e^y = e^ [ lh(x - 3) ]
e^y = x - 3 add 3 to both sides
e^y + 3 = x swap x and y
e^x + 3 = y and for y write g(x)
So
g(x) = e^x + 3
And
g(7) = e^7 + 3 ≈ 1099.6
30 min + 30 min = 60 min
100/60 = $/36 where $ is the 1st place money
5/3 = $/36 cross-multiply
36 * 5 = 3 * $
180 = 3 * $ divide by 3
60 = $
