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:
Given:
Taking the terms of x to one side.
The value of x is:
Find the money that both the girls will equally have.
76/2 = 38
So, imagine this, take 7 dollars from girl 2 and give it back to girl 1, you would essentially to the opposite of what the question said.
So, girl 2: 38 - 7 = 31
Girl 1: 38 + 7 = 45
To test if we got it right, add 31 and 46, and we get 76!
Answer:
29
Just replace n by 8 ===> C(8) = -6+5(8-1) = - 6 + 5x7 = -6+35 = 29
Step-by-step explanation:
We have been given a sequence formula. We are asked to find the 8th term of our given sequence.
We know that an arithmetic sequence is in form A_n=a_1+(n-1)d, where,
A_n=\text{ nth term of sequence},
A_1=\text{ 1st term of sequence},
n = Number of terms in sequence,
d = Common difference.
To find the 8th term of our given sequence, we will substitute n=8 in our given formula.
c(n)=-6+5(n-1)
c(8)=-6+5(8-1)
c(8)=-6+5(7)
c(8)=-6+35
