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:
Step-by-step explanation:
a/7+b
You simply have to use the values provided in the equation given. If a=49 and b=7 you have
49/7+7, since 49/7=7 you have
7+7 which equals
14
Answer:
x - 8 ≤ 4
+8 +8 Add eight to both sides of the equation.
X≤12
2x + 3 > 9
-3 -3 Subtract three from both sides
2x>6 Divide both sides by 2
x>3
Hope this helps!
Have an amazing day/night!
Answer:
Figure D
Step-by-step explanation:
Step-by-step explanation:
