Bill keeps a colony of honeybees on his property. He has created an expression to represent the number of honeybees that are in the colony t years after he decided to create the colony. The expression Bill created is -16t4 + 160t2 – 144. After deciding to create the colony, it took a fair amount of time to prepare before actually getting bees in his colony. After some time, the population in the colony started to decrease; eventually Bill lost his colony.

a. How could you use Bill’s expression to find out when Bill first got his honeybees and when he lost his colony? Type your response here:

b. Factor out a negative 1 from the expression using a bracket. Then rewrite the first term inside the bracket as the square of a term. Do this so that if the term being squared were replaced with a variable, the term would have no coefficient. Type your response here:

c. Set the term being squared from part b equal to x and rewrite the expression in terms of x. Type your response here:

d. Factor the resulting expression inside the bracket. Type your response here:

e. Now that you have factored the expression, replace x with the term you initially substituted for. Type your response here:

f. When did Bill first get his honeybees and when did he lose them? Type your response here:

g. Use the same idea you used above to factor the expression 4x4 – 25y6. Type your response here:

Ou have a 20-ounce bottle of juice. you pour out 14 of the bottle to share with a friend. if you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle? clear check 35 25 12 1320

William invested $5000 in an account that earns 3.8% interest, compounded annually. the formula for compound interest is a(t) = p(1 + i)t. how much did william have in the account after 6 years? (apex)

Question 1 (3 points) saved what is the solution for the following system of equations? use any method to solve. y = -x +4 y = x - 2 question 1 options: ( 4 , -2) (2, 1) (3, 1) (3, -2) question 2 (3 points) saved the solution to a system of equations is where the lines intersect. question 2 options: true false question 3 (3 points) which ordered pair is the best estimate for the solution of the system of equations? the graph of the system of equations : y = 3/2x +6 and y=1/4x - 2 question 3 options: (-6, -3) (-6.5, -3.5) (-7, -4) (-7, -3.5) question 4 (3 points) what is the solution for the following system of equations? use any method to solve. 2x + 8y = 4 x = -3y + 5 question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5 question 5 (3 points) solve the following system using any method. 8a - 4b = 20 5a - 8b = 62 question 5 options: a = 5, b = -4 a = 8, b = 4 a = -5, b = -8 a = -2, b = -9 question 6 (3 points) breana is selling tickets to a choral performance. on the first day of ticket sales, she sold 3 senior citizen tickets and 1 child ticket for a total of $38. breana took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. what is the price of a senior citizen ticket? question 6 options: question 7 (3 points) a farmer has 5 times as many cows as pigs. the farmer only has cows and pigs, and he has 168 animals. how many cows does he have? question 7 options: 140 cows 120 cows 50 cows 28 cows question 8 (3 points) how many solutions does the system have? question 8 options: zero one infinitely many question 9 (3 points) what is the solution to the system of equations? graph of x+2y = 6 and y = x question 9 options: (1 , -2) (2, 2) (3, 5) (-2, 2)