Answer:
a³ + b³
Step-by-step explanation:
Given
(a + b)(a² - ab + b²)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis
= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms
= a³ + b³
The minimum value for |x+5| is 0, so the minimum for f(x) is 0-8=-8.
There is no maximum for |x+5|, so neither does f(x).
Therefore the range of f(x)=|x+5|-8 is [-8,+inf) in interval notation, or
from -8 to infinity in words.
Answer:
(a) Amount of salt as a function of time
(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.
(c) The amount of salt when t approaches to +inf is 100 lb.
Step-by-step explanation:
The rate of change of the amount of salt can be written as
Then we can rearrange and integrate
Then we have the model of A(t) like
(b) The time at which the amount of salt reaches 50 lb is
(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.
The line segment which represents 2 7/16 inches should first be drawn with the use of a ruler.
<h3>What is a Ruler?</h3>
This is referred to an instrument which is used to measure distances between points or draw straight lines and also usually graduated in inches.
On the inches graduation, the zero mark should be located and the 1/16 inch which is found before the half-inch mark between 2 and 3 inches. When this is done, a line should be drawn to meet both points which will therefore measure 2 7/16 inches long.
Read more about Ruler here brainly.com/question/18558504
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Yard to square yard
example: 1yard*1 = 1square yard so 6*6=36 square yards. 7*7=42
36*2.90=104.40
42*2.90=121.8
104.40+121.8=$226.20
