Answer:
Step-by-step explanation:
2 1/2 + x = 5 1/3 Change the mixed numbers to improper fractions
5/2 + x = 16/3 The lowest common multiple is 6. Multiply by 6
5*3 + 6x = 16*2
15 + 6x = 32 Subtract 15 from both sides.
6x = 32 - 15
6x = 17 Divide by 6
6x/6 = 17/6
x = 2 5/6
Check
5/2 + 17/6 = 16/3
15/6 + 17/6 = 32/6
32/6 = 32/6 The question checks.
.3 / .5 = .6
.3 is the dividend
.5 is the divisor
.6 is the quotient
Answer:
640
Step-by-step explanation:
(5x³)(4x) ³2
(4x) ³ is the same as
4³ * x³ = 64x³
--
(5x³)(64x³)2
5*64*2 = 640
x³ * x³ =
640
9514 1404 393
Answer:
g^-1(x) = 1/(x+2)
Step-by-step explanation:
To find the inverse of the function ...
y = g(x)
swap the variables and solve for y.
x = g(y)
x = 1/y -2 . . . . . . . use the given g(x)
x +2 = 1/y . . . . . . . add 2
y(x +2) = 1 . . . . . . multiply by y
y = 1/(x +2) . . . . . divide by the coefficient of x
The inverse function is ...
_____
<em>Additional comment</em>
Please observe that when the fraction is typeset, as in the boxed answer, the fraction bar serves as a grouping symbol. It shows you that the denominator is the sum x+2.
When the same expression is written in plain text, only the first item after the division symbol (/ or ÷) is considered to be in the denominator. That is, 1/x+2 = (1/x)+2. The presence or absence of a (space) has no bearing on the correct interpretation of the expression. Only parentheses will serve as a grouping symbol in plain text expressions.
g^-1(x) = 1/(x+2)