$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
\boxed{cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})}\impliedby notice
\\ \quad \\
cos({{ \alpha}} - {{ \beta}})= cos({{ \alpha}})cos({{ \beta}}) + sin({{ \alpha}})sin({{ \beta}})$

4 0

3 years ago

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends o

pishuonlain [190]

The profit:
P = - 0.5 x² + 80 x + 190
The maximum profit will be at the vertex :
x = - b / 2 a = - 80 : ( 2 * ( - 0.5 )) = - 80 : ( - 1 ) = 80 ( in hundreds of dollars )
Answer:
The amount of money that will yield a maximum profit is $8,000.

3 0

3 years ago

What is the correct sequence of steps for calculating 946 on the scientific calculator?

n200080 [17]

Answer:

9^6=531441

Step-by-step explanation:

To calculate ,on the Scientific calculator

-First press 9 marked on the set of numbers.

--Then go to the indices expression and press on it.

--After that press 6.

--You will get the value of 9^6=531441

6 0

3 years ago