\( 1 \leqslant \quad \) Transformations of 2.5 Question \( 22,2,5.103 \) \( \begin{array}{l}\text { Use transformations of the standard cubic function, } f(x)=(x-3)^{3}+3\end{array} \) \( \begin{array}{l}\text { Use the graphing tool to graph the function. } \\ \text { Click to }\end{array} \)

MATH CHALLENGE A. Solve the following problems. 1. Aicel, Bessy, and Cynthia went to the farm to pick guavas. They picked 120 guavas in all. Aicel picked twice as many as Bessy did, and Bessy picked 3 times as many as Cynthia did. How many guavas did each of them pick? 2. Alex's bike ride to work usually takes 22 minutes at 9 kph. One morning he found a new bike route that was 5 minutes faster. If he decides to use this new route again and wants to reach home by an additional 2 minutes earlier, how fast should 3. Five trucks can transfer 150 tons of fruit a day. How many days does it take for 7 trucks to transfer 630 tons of fruits? 4. There are 80 animals in Mang Pablo's farm. The ratio of cows to carabaos to goats to horses is \( 4: 2: 3: 1 \). How many animals of each kind are there in Mang Pablo's farm? 5. The ratio of boys to girls in a Junior-Senior Promenade is \( 4: 3 \). Jane counted that there are 12 more boys than girls. How many boys and girls are there in the prom? Create vour own problem usinn the following information.

What is the real part of the conjugate of \( -6+3 i \). Your Answer:

1. [0/1 Points] DETAILS L MY NOTES LARSON8 2.2.050. 2/1 \[ f(t)=7 t^{2 / 3}-7 t^{1 / 3}+8 \] \( f^{\prime}(t)= \) Sind the derivative of the function below. Submit Answer

Solve the inequality. \( \frac{x-4}{x+6} \leq 0 \) The solution to the inequality is (Type your answer in interval notation.)

Determine whether the graph of the function has a vertical asymptote or a removable discontinuity at \( x=-2 \). Graph the function using a graphing utility to confirm your answer. \[ f(x)=\frac{x^{2}-4}{x+2} \] vertical asymptote removable discontinuity