(06.06 mc)

the work of a student to find the dimensions of a rectangle of area 8 + 16x and width 4 is shown below:

step 1: 8 + 16x
step 2: 4(4) + 4(12x)
step 3: 4(4 + 12x)
step 4: dimensions of the rectangle are 4 and 4 + 12x

in which step did the student first make an error, and what is the correct step?

step 3; 4 + (4 + 12x)
step 3; . 4 + (4 ⋅ 12x)
step 2; 4(2) + 4(4x)
step 2; 4(2) + 4x(2)

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Solve the following inequalities and show the solution on a number line. 3/4 (2x-7) ≤ 5