The archway of the main entrance of a university is modeled by the quadratic equation y = -x^2 + 6x. the university is hanging a banner at the main entrance at an angle defined by the equation 4y = 21 − x. at what points should the banner be attached to the archway? a. (1, 5.5) and (5.25, 6.56) b. (1, 5) and (5.25, 3.94) c. (1.5, 4.87) and (3.5, 4.37) d. (1.5, 5.62) and (3.5, 6.12) e. there is no real solution.

The u-drive rent-a-truck company plans to spend $13 million on 320 new vehicles. each commercial van will cost $25 comma 000, each small truck $50 comma 000, and each large truck  $80 comma 000. past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

What is the equation of a line passing through (-6,5) and having a slope of 1/3