Consider the given quadratic equations. equation a equation b equation c equation d y = 3x2 − 6x + 21 y = 3x2 − 6x + 18 y = 3(x − 1)2 + 18 y = 3(x − 1)2 + 21 complete the following statement. equations are equivalent, and of those, equation is in the form most useful for identifying the extreme value of the function it defines.

The circumference of a circle is 60 pi cm3what is the radius of the circle

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

Farnesene is a sesquiterpene. how many different isomers arising from double-bond isomerizations are possible? g