Topic
Q:
Wring an equation that models variation
Write an equation that expresses the following relationship.
\( w \) varies directly with \( u \) and inversely with the square of \( d \)
In your equation, use \( k \) as the constant of proportionality.
\( \square \)
Q:
A one-to-one function is given. Write an equation for the inverse function.
\( g(x)=\frac{3-x}{4} \)
Q:
Calcule \( \log_{5}(125) \) usando a propriedade da mudança de base.
Q:
Please show all work. All answers should be expressed as exact answers. No decimal
approximations.
Solve the following system of equations.
\( 2 x^{2}+5 y^{2}=39 \)
\( 3 x^{2}-y^{2}=-1 \)
Q:
Determine whether the two functions are inverses.
\[ h(x)=5 x+1 \text { and } k(x)=\frac{x-1}{5} \]
The two functions are inverses.
The two functions are not inverses.
Q:
4. Un edificio tiene 1200 me ros de altura. Determine el ángulo de elevación de su último piso desde un
punto de la calle que está a. 5280 metros desde la base del edificio.
Q:
Solve the equation \( \frac{1}{4} t-6=-4 \)
Q:
olve the equation \( 7=-10 s-3 \)
Q:
equation \( -2 y+6=-12 \)
Q:
A relation in \( x \) and \( y \) is given. Determine if the relation defines \( y \) as a one-to-one function of \( x \).
\( \{(8,-3),(13,-4),(9,-1),(4,-6)\} \)
The relation defines \( y \) as a one-to-one function of \( x \).
The relation does not define \( y \) as a one-to-one function of \( x \).
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