What set of transformations are applied to parallelogram abcd to create a″b″c″d″? 'parallelogram formed by ordered pairs a at negative 4, 1, b at negative 3, 2, c at negative 1, 2, d at negative 2, 1. second parallelogram transformed formed by ordered pairs a double prime at 1, negative 4, b double prime at 2, negative 3, c double prime at 2, negative 1, d double prime 1, negative 2.

a. reflected over the x‒axis and rotated 180°

b. reflected over the y-axis and rotated 180°

c. reflected over the x‒axis and rotated 90° counterclockwise

d. reflected over the y-axis and rotated 90° counterclockwise

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great  day!

3x^3-2x^2+4x-3= -3

x^2+3x+3= 3

-3÷3= -1