Which is the graph of the linear inequality 2x – 3y < 12?

on a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the right of the line is shaded.

on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the right of the line is shaded.

on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the left of the line is shaded.

on a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). everything to the left of the line is shaded.

Mat bought a phone for $100. he has to pay $30 per mouth. if he has paid $640 in total, how many mouth has he had the phone?

Carley bought a jacket that was discounted 10% off the original price. the expression below represents the discounted price in dollars, based on x, the original price of the jacket.

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)