Use a system of linear equations to find the quadratic function
f(x) = ax2 + bx + c
that satisfies the given conditions. solve the system using matrices.
f(−2) = −11, f(1) = −5, f(2) = −23

Step-by-step explanation:

Let be the quadratic function.

implies that

Similarly,

and

From equation 2,

Put (4) into (1) to get:

Put (4) in (3) to get:

Subtract (6) from (5) to get:

Put b=-3 in (4) to get:

a=--3-5=-2

Put b=-3 in to (6) to get:

-2(-3)+c=-3

6+c=-3

c=-6+-3=-9

Therefore the required equation is

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1