Write and solve a quadratic equation for the situation below. choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation.

you work for a company that produces custom picture frames. a new customer needs to frame a piece of rectangular artwork with dimensions of 11 x 15 in. they don't want the framed art to be too big so they want to limit its area to 320 in ^2. what should the width of the frame be to accommodate their wishes?

a)4x^2+52x+165=320; x = 2.5

b)none of the choices are correct.

c)4x^2+52x+165=320; x = 15.5

d)x^2+26x+165=320; x = 5

Maria donates a fixed amount, a, to a charity each month. if she donates $300 in 12 months, what is the equation for a? a. a + 300 = 12 b. a × 300 = 12 c. a × 12 = 300 d. a + 12 = 300 e. a + 32 = 100

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.

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?