Answer:
contains the cheapest reference to sugar; 
contains the most expensive reference to sugar.
Step-by-step explanation:
Let be 
, the times when sugar is the cheapest and the most expensive (absolute minimum and maximum) are determined with the help of first and second derivatives of this function (First and Second Derivative Tests):
First Derivative Test
Let equalize the polynomial to zero and solve the resulting expression:
, 
, 
and 
Second Derivative Test
This function is now evaluated at each root found in the First Derivative section:
(A maximum)
(A minimum)
(A maximum)
(A minimum)
Each value is evaluated in order to determine when sugar was the cheapest and the most expensive:
Cheapest (Absolute minimum)
contains the cheapest reference to sugar.
Most expensive (Absolute maximum)
contains the most expensive reference to sugar.
Independent variable - represents a quantity that is being manipulated
dependent variable- represents a quantity whose value depends on how the independent variable is manipulated.
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
Answer:
9.8
Step-by-step explanation:
The formula for the area of a triangle is a=bh/2, where a is area, b, is the base, and h is the height. If we substitute the values in the question in the equation, we get:
a=(6.5*3)/2
a=19.5/2
a=9.75
a≈9.8
