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3 years ago

Cuanto es2/4 mas un 1/5

1 answer:

5 0

Rellene las cajas abajo (F1 - fracción 1 y F2 - fracción 2) y seleccione una de las operaciones (+ - × o ÷):
F1: Oper. F2:

=

Respuesta:

=
10

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Write an equation of cosine function with amplitude 2 and a period 4pi

Arisa [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now.. hmmm let's see, keeping in mind the template above

so, amplitude of 2, A=2, thus |A| = ±2, so, you can use either

and period of 4π, well, that simply means that

$\bf \cfrac{2\pi }{B}=4\pi \implies \cfrac{2\pi }{4\pi }=B\implies \cfrac{1}{2}=B\\\\
-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
\end{array}$

8 0

4 years ago

The cost of one pound of peanuts is 60% of the cost of one pound of cashews. if one pound of cashews cost 2$, what is cost of on

Dafna11 [192]

Hello!

In order to find the cost of one pound of peanuts, we need to find 60% of two dollars. To do that, we convert 60% to a decimal, then multiply that to the cost of cashews, which is two dollars.

60 / 100 = 0.60

0.60 x $2.00 = $1.20

Therefore, the cost of one pound of peanuts is $1.20.

The cost of two pounds of peanuts can be found by multiply the cost of one pound of peanuts by two. Then, we add the cost of one pound of cashews, which is two dollars.

$1.20 · 2 = $2.40

$2.40 + $2.00 = $4.40

Therefore, the total cost of two pounds of peanuts and one pound of cashews is $4.40.

Question 1: $1.20

Question 2: $4.40

4 0

4 years ago

A triangle has sides with lengths of 5x - 2, 4x - 4, 6x - 8. What is the perimeter of the triangle?

xxMikexx [17]

Answer:

(15x - 4) units

Step-by-step explanation:

5x-2 + 4x-4 + 6x - 8

15x - 14

3 0

4 years ago

Solve the system of equations by graphing<br>3x+y=7<br>x+2y=4

nignag [31]

9514 1404 393

Answer:

(x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

(x, y) = (2, 1)

5 0

3 years ago

-4x-15y=-17<br>-x+5y=-13<br><img src="https://tex.z-dn.net/?f=%20-%204x%20-%2015y%20%3D%20%20-%2017%20%20%5C%5C%20%20-%20x%20%2B

salantis [7]

To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations
$- 4x - 15y = - 17$
$- x + 5y = - 13$
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
$- 4x - 15y = - 17$
$- 4( - x + 5y = - 13)$
simplify and we get
$- 4x - 15y = - 17$
$4x - 20y = 52$
now we can combine like terms on each side with the x's cancelling and get

$- 35y = 35$
now divide off -35
$y = - 1$
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

$- x + 5y = 13$
so now we substitute y and get
$- x + 5( - 1) = 13$
$- x - 5 = 13$
$- x = 17$
$x = - 17$

now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)

6 0

3 years ago