Answer:
f(x) = -22.45x^2 + 92.38x + 1.86
Because the points on the scatter plot show an increase in concentration from 0 hours through 2 hours and a decrease from 2 hours through 4 hours, the relationship shown is best modeled using a quadratic function.
Let's look closely at the two quadratic function choices to determine the key features of their graphs.
Because the coefficient of its x^2 -term is negative, the graph of f(x) = -22.45x^2 + 92.38 + 1.86 will be concave down and have a maximum value.
Because the coefficient of its x^2 -term is positive, the graph of f(x) = 22.45x^2 + 92.38 + 1.86 will be concave up and have a minimum value.
Because the scatter plot shown has a concave down trend, the function that best describes the relationship shown is:
f(x) = -22.45x^2 + 92.38 + 1.86
Step-by-step explanation:
Answer:
x=-1/2
Step-by-step explanation:
Given:
8x^3+12x^2+6x+1=0
Making factors of the given polynomial by using cube formula, given as
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Re-writting the given polynomial:
(2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3)=0
Hence (2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3) can be written as (2x+1)^3
(2x+1)^3= 0
2x+1= 0
2x= -1
x= -1/2 !
16,000 because you divide 40,000 by 20 and you get 2000 so you multiple by 8 the number of students that are out less then 5 days a year
Answer:
C
Step-by-step explanation:
AB + BC = AC , that is
5x + 4 + 4x - 8 = 23
9x - 4 = 23 ( add 4 to both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Then
AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C
