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:
Post the drop down menu please :)
Answer:
$275
Step-by-step explanation:
Add 250+25 which equals 275
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
~
If you reduce the fraction to a mixed number than it would be 2 2/5 but if you want to reduce it to a decimal it would be 2.4
