Switch the rule 5x^2 + 24x – 19 into vertex form. Please I need help ASAP and also briefly show the work please

Which number completes the inequality? 2/3 < _ < 7/9

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?

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.