Find the quadratic function f (x )equals ax squared plus bx plus c for which f (1 )equals negative 2, f (negative 3 )equals 26, and f (3 )equals 32.

f(x) =4x² + x - 7

Step-by-step explanation:

f(x) = ax² + bx + c

f(1) = a + b + c

f(-3) = 9a - 3b + c

f(3) = 9a + 3b + c

a + b + c = -2 (1)

c = -2-a-b (2)

9a - 3b + c = 26 (3)

9a + 3b + c = 32 (4)

(2)->(3)

9a-3b-2-a-b = 26

8a-4b = 28

4(2a-b) = 28

2a-b = 7 (5)

(2)->(4)

9a+3b-2-a-b = 32

8a+2b = 34

2(4a+b) = 34

4a+b = 17 (6)

(5)+(6)

6a = 24

a = 4

sub a=4 into(6)

4(4)+b = 17

b = 1

sub a=4,b=1 into (2)

c = -2-4-1

c = -7

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: