You did give the correct answer .
Use the difference of squares factor rule to get
4x^2-9y^4
(2x)^2-(3y^2)^2
(2x-3y^2)(2x+3y^2)
The final answer is choice C
Note: the order of the factors does not matter
Y = - 2x and y = x² - 8, this means that:
-2x = x² - 8 → x² + 2x - 8 = 0
Solve this quadratic equation:
x₁ = [-b + √(b² - 4.a.c)]/2a and x₂ = [-b - √(b² - 4.a.c)]/2a
x₁ = [- 2 + √(4+32)]/2 and x₂ = [- 2 - √(4+32)]/2
x₁ = -4 and x₂ = 2 (in the 2nd equation). Now plug in these values in the 1st equation and you will find - 4 and 8
Answer D
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)
The triangle has a base of 7 so 1/2 the base is 3.5.
The height = 7.5 (from graphic)
Area of "left triangle" = 3.5*7.5 / 2 =
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13.125
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The entire triangle area = 2 * 13.125 =
26.25
Triangle perimeter both legs = 16.6 + base (7) = 23.6