Jenny starts a game with twice as many marbles as keiko. jenny gives keiko 5 marbles, but she still has 10 more than keiko. how many marbles did jenny have to start with

Rosa makes a small flower garden outside the clubhouse the area of the garden is 851 square meters if the length of the garden is 23 m what is the width of the garden

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.