Answer:
La situación está representada por el siguiente sistema:
Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Step-by-step explanation:
De acuerdo con el enunciado, Nita gana una cantidad fija cada semana por pasear al perro de su vecino, con un monto de $ 20, mientras que gana en función de la cantidad de rosas a vender, con un valor unitario de $ 2. Si ella desea ganar al menos $ 50, por tanto, se requiere construir el siguiente sistema, conformado por una ecuación y una inecuación:
(1)
(2)
Donde:
- Cantidad de rosas vendidas semanalmente.
- Ganancia semanal, medida en dólares.
Answer:
Our total amount value is $4.86.
Step-by-step explanation:
The total amount given is $30.
Now 8 % of $30 = 
or, 8% of $30 = $2.4
Now adding $30 and $2.4,
$ 30 + $2.4 = $32.4
Finding 15% of the total $32.4,
we get 
or, 15% of $32.4 = $4.86
hence, our total amount value is $4.86.
The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
Hey there! :-)
First, let's find the slope of the line.
We can do that by using this formula:
Slope=Rise/Run
Where
Rise=how many units we move up
Run=how many units we move left or right.
We move 5 units up and 8 units to the right.
Therefore, the slope is 5/8.
The y-intercept (where the line touches the graph) is -9/8.=
Therefore, the equation of the line is y=5/8x-9/8.
Hope this helps you daughter. Use the comment section to clarify any doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck.
