Anika wants to determine the maximum number of tulip bulbs (t) she can purchase if each bulb costs $3.25. She will also need to purchase separate pots for each bulb at $2.50 each
and a bag of potting soil for $15.00. Set up an inequality to determine how many tulip
bulbs Anika can purchase without spending more than $25.00, and solve it. Can Anika buy
exactly enough bulbs and pots to spend the full $25.00? Can you think of a better
inequality to describe the answer? Complete the explanation.
The inequality to determine how many tulip bulbs Anika can purchase without spending
more than $25.00 is
Round to 4 decimal places. The solution to the inequality is
You cannot buy partial bulbs and pots, so Anika cannot spend the full $25.00. A
better answer is
, where t is a whole number.

Identify the number as a rational or irrational. explain. 127

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Solve for the equation x. 2x + 22 = 4(x + 3)