Answer:
y=4x+1
Step-by-step explanation:
1. 4x-y=2
-y=-4x+2 divide both sides by -1
y=4x-2
2. y-y1=m(x-x1)
y-(-3)=4(x-(-1))
y+3=4x+4
y=4x+4-3
y=4x+1
Parallel lines have the same, so the equation we are making should have the slope of 4.
The two figures are similar because if you take each side length of figure O and multiply it by three, they equal the side lengths of A.
Answer:
23
Step-by-step explanation:
they add five
9+5=14
12+5=17
15+5=20
18+5=23
Answer:
Think its B (y=18x+3)
Step-by-step explanation:
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:
