11) dependent
12) Correct
13) Correct
14) Correct
16) y=4x^2+3x-6
17) 36
18) 7/2 ± √34/2
19) 24
20) (-5,3) (1,-3)
21) Polynomial of 5 terms
22) -3,-2,2
23) -2.48, 0.35
24) -6, -2
25) 3, -3, 6i, -6i
11) without graphing is the system independent, dependent, or inconsistent?
y=-x+5
-3x-3y=-15
(my answer; dependent)
12) your club is baking vanilla and chocolate cakes for a bake sale. they need at most 19 cakes you cannot have more than 14 chocolate cakes. write and graph a systme of inequalities to model this system.
(my answer;
let x=the number of vanilla cakes
let y=the number of chocolate cakes
x>=0
y>=0
x+y<=19
y<=14)
13)which matrix represents the system of equations below?
-12x-13y+13z=15
7x-10y-3x=11
7x+14y+5z=-5
(my answer;
-12 -13 13 15
7 -10 -3 11
7 14 5 -5)
14) which graph represents y=3(x-3)^2+3
(my answer; go over 3units to right up 3 and make a u shape upward)
16)what is the equation in standard form of a parabola that models the values in the table?
x -2 0 4
f(x) 4 -6 70
(possible answers)
y=3x^2+4x-6
y=4x^2+3x-6
y=6x^2+3x-4
y=-4x^2-3x+6
didnt understand this one
17) what value completes the square for the expression.
x^2-12x
(my answer; 36)
18) Use the quadratic formula to solve the equation.
-x^2+7x=8
(my answer; 7/2 +- sqrt34/2)
19)simplify the expression.
(-6i)(-4i)
(my answer; -24)
20) use graphing to find the solutions to the system of equations
y=-x^2-5x+3
y=-x-2
(my answer; (-5,3)(1,-3)
21) classify 5x^5+3x^4-8x^3+12 by number of terms.
(my answer; polynomial of 5 terms)
22) what are the zeros of the function graph the function
y=(x+3)(x+2)(x-2)
(my answer; -3,-2,2 graph upside down u on left bottom and straight line up and down on right side
23)find the real solutions of the equation
-8x^3-17x^2+7x=0
(didnt understand possible choices
0,-2.48,0.35
-2.48
-2.48,0.35
0.248,-0.35)
24) find the rational roots of
x^4+8x^3+7x^2-40x-60=0
(my answer; -6,-2)
25) find all the zeroes of the equation
27x^2-324=x^4
(my answer; 3,-3,6i,-6i)
Any help or explanations is helpful have an exam coming up and trying to review
12) Correct
13) Correct
14) Correct
16) y=4x^2+3x-6
17) 36
18) 7/2 ± √34/2
19) 24
20) (-5,3) (1,-3)
21) Polynomial of 5 terms
22) -3,-2,2
23) -2.48, 0.35
24) -6, -2
25) 3, -3, 6i, -6i
12) Your answer is correct. The system of inequalities is:
x >= 0
y >= 0
x + y <= 19
y <= 14
13) Your answer is correct. The matrix representation is:
-12 -13 13 15
7 -10 -3 11
7 14 5 -5
14) Your answer is correct. The graph is a "U" shape with the vertex at (3,3).
16) Based on the table, the equation of the parabola is y = 6x^2 + 3x - 4.
17) Your answer is correct. Completing the square for x^2 - 12x gives (x - 6)^2 - 36.
18) Your answer is correct. Using the quadratic formula, the solutions to -x^2 + 7x = 8 are (7 +/- sqrt(34))/2.
19) Your answer is correct. (-6i)(-4i) = 24.
20) Your answer is correct. The solutions to the system of equations y = -x^2 - 5x + 3 and y = -x - 2 are (-5, 3) and (1, -3).
21) Your answer is correct. The polynomial has 5 terms.
22) Your answer is correct. The zeros of the function y = (x + 3)(x + 2)(x - 2) are -3, -2, and 2. The graph will have an upside-down "U" shape on the left side and two straight lines on the right side.
23) Based on the choices provided, the real solutions of the equation -8x^3 - 17x^2 + 7x = 0 are -2.48 and 0.35.
24) Your answer is correct. The rational roots of x^4 + 8x^3 + 7x^2 - 40x - 60 = 0 are -6 and -2.
25) Your answer is correct. The solutions to the equation 27x^2 - 324 = x^4 are 3, -3, 6i, and -6i.
Good luck on your exam!