the boundary of a linear inequality is 3x+2y=12. The coordinates (2,3) satisfies the inequality so, 

a. a dash line will represent the boundary, but the solution region is unknown 

b. a solid line will represent the boundary, but the solution region is unknown

c. the boundary line type is unknown, but the solution region is above the boundary

d. the boundary line type is unknown, but the solution region is below the boundary

a rubber ball is thrown upwards with an initial speed of 20m/s. The approximate height o the ball of t seconds is h(t)= 20t-4.9t². Determine the time period, to the nearest hundredth of a second, during which the ball is higher than 8 m. 

A quadratic function has zeros at - 2/3 and 6.  The graph of the function passes through the point (1, –12.5).  What is the equation of the function, in standard form?A. f(x)= x^2+9/2x+9 

B. f(x)= x^2-9/2x-9 

C. f(x)= 2x^2+9x+18D. f(x)= 2x^2-9x-18 

 The simplified factored form of 8(x+3)^2-6(x+3)-5 isA. (4x+17)(2x+5)

B. (4x+7)(2x+5)

C. (4x+5)(2x+7)

D. (4x-5)(2x+1)

On the reality TV show Last Man Standing, a package is thrown from a plane to the ocean below.  The contestants must swim to the package to receive the “free pass” located inside the package.  The path that the package follows can be modelled by the quadratic function .dt tt 49 10 1200 2=- ++^h , where d represents the distance above the water, in metres, and t is the time, in seconds.

How long has the package been in the air when it hits the water?

Aron is training for a 10 km marathon swim in 19 weeks.  Each week, his training plan includes a long distance swim.  In week six, Aron swam a total of 18.75 km.  In week ten, Aron swam a total of 36.25 km.  Each week, Aron increased the distance he swam following an arithmetic sequence until the final week.  In the last week, Aron only swam 5 km in order to save energy for the race. 

a. By what distance did Aron increase his total swimming each week?

b. Determine the distance Aron swam in the first week of training.

c. Determine how far Aron swam in the 18-week training program 

aron is training for a 10km marathon swim in 18 weeks. each week, his training plan includes a long diistance swim. Over the first 6 weeks, Aron swam a total of 18.75 km. Over the first 10 weeks, Aron swam a total of 36.25 km. Each week, Aron increased the distance he swam following an arithmetic sequence until the final week. Answer the following:

a) By what distance did aron increase his total swimming each week?

b) Determine the distance aron swam in the first week of training?

c) Determine how far aron swam over the 18-week training program.

what is the square root of 4

simplify the expression $3\sqrt{7\div\sqrt{14-4\sqrt{7}}}$3√7÷√14−4√7 by rationalizing th denominator 

The speed of a tidal wave produced by a tsunami is determined by the formula  s= 356 $\sqrt{d}$√d  , where S is the speed of the wave in km/h, and d is the depth of the ocean in km.  If the speed of a wave is determined to be 150 km/h, what is the depth of the ocean at that point?  Show all work, and round to the nearest hundredth of a kilometre