math final

2a+6-6a ~ simplify each expression

-4a+6

what are the vertices of the feasible region bounded by the constraits: y≥0, x≥0, y≤-2x+4

(0,4), (0,0), (2,0)

solve the quadratic equation: x²+x-30=0

(5,-6)

y+2/8=0 ~solve each equation

-2

through (2,6) and (1,3) find the slope

-3

through (-1,0) and parallel to y=-4x+2

-4

3x²-75=0 ~solve each equation

-5,5

4w+3= 2w+5 ~solve each equation

1

find the discriminant of the equation 2x²-3x+1=0. Use the discrimenant to determine the number of real solutions and the number of imaginary solutions of this equation

2 real, 0 imaginary

a vet had 140 routine cat/ dog appointments for the week. the cost of a routine cat appointment is $20 and the dog appointment $25. the vet earned $3225 for these visits. solve a system of equations to determine the number of cat appointments and the number of dog appointments for the vets week.

55, 85

2x-8<4 ~solve each inequality and graph

answer

5x< 15 or 10x>80 solve the compound inequality and graph the solution

answer

find the real solution of x²-2x=7 using a graphing utility. Round each solution to the nearest hundredth

answer

a parabola contains the points (0,5)(3,7)(-2,-3). what is the equation of this parabola in standard form?

quadratic regression

solve each system: y=x, y+4x=10

x=2

write the standard form of the equation of the parabola that is a translation pf y=x² three units to the right and four units down

y=(x-3)²-4

write y= 2x² +24x+68 in vertex form

y=2(x+6)² -4

solve each system: x+y-3z=-7, 3x-4z=0, 2z=6

4,-2,3

graph the function: y=|x-3|

answer

graph the inequalities of the system of inequalities: y≤x+3, x+y≤3

answer

write y=9x²=54x+77 in vertex form. Identify the vertex and the axis of symmetry

answer

y varies directly with x. find the constant of variation if y=14 when x=2

answer

|x+2|≥7 ~solve each inequality and graph

answer

find the domain and range of the relation (2,-4), (3,0), (5,2)

domain: 2,3,5; range: -4,0,2