The function f ( x ) = 6.5 x 2 − 20.4 x + 234 x 2 + 36 Models the pH le vel, f(x), of the human mouth x minutes after a person eats food containing sugar. The graph of this function is shown in the figure. a. Use t he graph to obtain a reasonable e stimate, to the nearest tenth, of the pH level of the human mouth 42 minutes after a person eats food containing sugar. b. After eating sugar, when is the pH level the lowest? Use the function’s equation to determine the pH level, to the nearest tenth, at this time. c. According to the graph, what is the normal pH level of the human mouth? d. What is the equation of the horizontal asymptote associated with this function? Describe what this means in terms of the mouth’s pH level over time. e. Use the graph to describe what happens to the pH level during the first hour.
The function f ( x ) = 6.5 x 2 − 20.4 x + 234 x 2 + 36 Models the pH le vel, f(x), of the human mouth x minutes after a person eats food containing sugar. The graph of this function is shown in the figure. a. Use t he graph to obtain a reasonable e stimate, to the nearest tenth, of the pH level of the human mouth 42 minutes after a person eats food containing sugar. b. After eating sugar, when is the pH level the lowest? Use the function’s equation to determine the pH level, to the nearest tenth, at this time. c. According to the graph, what is the normal pH level of the human mouth? d. What is the equation of the horizontal asymptote associated with this function? Describe what this means in terms of the mouth’s pH level over time. e. Use the graph to describe what happens to the pH level during the first hour.
Solution Summary: The author calculates the pH level of the human mouth 42 minutes after a person eats food containing sugar.
Models the pH level, f(x), of the human mouth x minutes after a person eats food containing sugar. The graph of this function is shown in the figure.
a. Use the graph to obtain a reasonable estimate, to the nearest tenth, of the pH level of the human mouth 42 minutes after a person eats food containing sugar.
b. After eating sugar, when is the pH level the lowest? Use the function’s equation to determine the pH level, to the nearest tenth, at this time.
c. According to the graph, what is the normal pH level of the human mouth?
d. What is the equation of the horizontal asymptote associated with this function? Describe what this means in terms of the mouth’s pH level over time.
e. Use the graph to describe what happens to the pH level during the first hour.
Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution.
Remember that:
A matrix is in row echelon form if
Any row that consists only of zeros is at the bottom of the matrix.
The first non-zero entry in each other row is 1. This entry is called aleading 1.
The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
PRIMERA EVALUACIÓN SUMATIVA
10. Determina la medida de los ángulos in-
teriores coloreados en cada poligono.
⚫ Octágono regular
A
11. Calcula es número de lados qu
poligono regular, si la medida
quiera de sus ángulos internos
• a=156°
A= (-2x+80
2
156 180-
360
0 = 24-360
360=24°
• a = 162°
1620-180-360
6=18-360
360=19
2=360=
18
12. Calcula las medida
ternos del cuadrilá
B
X+5
x+10
A
X+X+
Sx+6
5x=3
x=30
0
лаб
• Cuadrilátero
120°
110°
• α = 166° 40'
200=180-360
0 =
26-360
360=20
ひ=360
20
18 J
60°
⚫a=169° 42' 51.43"
169.4143180-340
0 = 10.29 54-360
360 10.2857
2=360
10.2857
@Sa
Please help I'm a working mom trying to help my son last minute (6th grader)! Need help with the blank ones and check the ones he got with full calculation so we can use it to study! Especially the mixed number fractions cause I'm rusty. Thanks in advance!
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY