A coordinate grid is shown below: A coordinate grid from negative 2 to 0 to positive 2 is drawn. There are three grid lines between a whole unit on the grid. Part A: Which point represents the origin? (2 points) Part B: Starting from the origin, explain how to plot the following three points accurately: (−1, 1) (1, −1.5) (2, fraction 1 over 4) (8 points)

Carly bought a new house for $125,000. the value of the house appreciates approximately 3.5% each year. what will be the value of the house after 10 years?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

Which number completes the system of linear inequalities represented by the graph? y > 2x – 2 and x + 4y >