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Q:
Restrict the domain of \( f(x) \) so that \( f \) is one-to-one. Then find \( f^{-1}(x) \). \( f(x)=-2-x^{2} \)
Q:
3. A parabola with equation \( y=3(x-m)(x-2) \) has a vertex with \( x \)-coordinate equal to 7 . What is the \( y \)-coordinate of the vertex of this parabola?
Q:
A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold \( 15 \mathrm{yd}^{3} \) of debris. Find the dimensions of the dumpster that will minimize its surface area.
Q:
4. Roger is packing a lunch to bring to school. There are 2 types of sandwiches to choose from and 4 types of fruit. For the drink, Roger has 4 options. Lastly, there are 3 possibilities for the dessert. How many different lunches can Roger pack? 5. The basketball season is almost over, and the coach is trying to order a trophy to award to the team's MVP. The trophy company has 7 different bases and 9 different figurines of people playing basketball. The MVP's name can be engraved in 6 different fonts. How many different trophies can the coach order?
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3) \( \frac{11}{15}+\frac{13}{20}-\frac{7}{30}= \)
Q:
a. \( (-2)^{-3} \)
Q:
\( \lim _ { t \rightarrow 0 ^ { + } } \frac { \log ( t ) } { t } \)
Q:
Find a formula for the inverse. \( f(x)=5 x^{3}-8 \)
Q:
2. PHPR is building a new playground. There are 2 different slides and 5 different swingsets to choose from. For the seesaw, there are 7 options. How many different playgrounds can they build? 3. Carly is making an ice cream sandwich. There are 2 types of sandwich cookies and 4 types of ice cream to choose from. For the candy mix-in, Carly has 2 options. Lastly, there are 3 possibilities for the sauce. How many different ice cream sandwiches can Carly make using exactly one of each item?
Q:
Dans l'urne ci-contre, il y a des On tire au hasard un jeton dans On considère les évènements si B: «l le jeton tiré est bleu I: «le numéro du jeton ti 1) Les évènements B et I sont-i 2) Combien faut-il rajouter de évènements B et I soient indépe Appelons \( x \) le nombre de jetons ble \( x+4 \). Le nombre total de jetons e a) Calculer de même \( p(I) \) et \( p \)
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