Answer:
Input:
14 x^2 + 57 x - 27
Plots:
Geometric figure:
parabola
Alternate forms:
(7 x - 3) (2 x + 9)
x (14 x + 57) - 27
14 (x + 57/28)^2 - 4761/56
Roots:
x = -9/2
x = 3/7
Polynomial discriminant:
Δ = 4761
Properties as a real function:
Domain
R (all real numbers)
Range
{y element R : y>=-4761/56}
Derivative:
d/dx(14 x^2 + 57 x - 27) = 28 x + 57
Indefinite integral:
integral(-27 + 57 x + 14 x^2) dx = (14 x^3)/3 + (57 x^2)/2 - 27 x + constant
Global minimum:
min{14 x^2 + 57 x - 27} = -4761/56 at x = -57/28
Definite integral:
integral_(-9/2)^(3/7) (-27 + 57 x + 14 x^2) dx = -109503/392≈-279.344
Definite integral area below the axis between the smallest and largest real roots:
integral_(-9/2)^(3/7) (-27 + 57 x + 14 x^2) θ(27 - 57 x - 14 x^2) dx = -109503/392≈-279.344
Step-by-step explanation:
Answer:
<MLJ and <NOQ
Step-by-step explanation:
Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal
Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.
4.8 divided by 11 = 0.43636(repeat 36 infinitely)
Answer:
2.3,7,127
Step-by-step explanation:
a₁ = 2
a₂ = 2² - 1 = 3
a₃ = 2³ - 1 = 7
a₄ = 2⁷ - 1 = 127
