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3 years ago

Simplify: 19x – y – 2z + x + 5y + 2z

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

20x+4y. I hope I helped (:

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Estimate a 15% tip on a dinner bill of $78.17 by first rounding the bill amount to the nearest ten dollars.

ella [17]

$78.17 rounds to $78
15% of $78 = $11.70 which rounds to $12

8 0

2 years ago

For the function given state the period f(t) =6sin(3t-pi/6)-1

lapo4ka [179]

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

\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 or frequency}\\
\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, with that template in mind, let's take a peek at yours

$\bf \begin{array}{lllcclll}
f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}$

8 0

3 years ago

If f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(2). 192 72 32 24

stepan [7]

F ( x ) = k * x²
f ( 4 ) = 96
96 = k * 4²
96 = 16 k
k = 96 : 16
k = 6
f ( 2 ) = 6 * 2² = 6 * 4 = 24
ANSWER D

5 0

3 years ago

Read 2 more answers

At a quiz competition, for every question teamA answered correctly, team B answered 2 questions correctly. The ratio of the numb

vekshin1

Answer:

the answer would be 3. 1 to 2

Step-by-step explanation:

Because for every one answer the team A gets, team B gets 2 so it is a 1 to 2 ratio

7 0

2 years ago

in 1970, a record 1.5 inches of rain fell in Basse Terre, Guadeloupe in the Caribbean. At this rate, how much rain fell in 3 sec

arsen [322]

In 1970, a record 1.5 inches of rain fell in one minute at Brasse Terre, Guadalupe in the Caribbean. At this rate how much rain fell in 3 seconds or 0.05 of a minute? A 3 inches... B 0.075 inch... C 0.75 inch... D 30 inch. Pick one. Evan chose D as the correct answer. How did he get that answer?

Answer:

$0.075 inches$

Option B is correct.

Step-by-step explanation:

Given.

The rain fall rate is 1.5 inches per minute.

How much rain fall in 3 second or 0.05 of minute?

First we find rain fall rate in one second.

$1.5 inch/min=\frac{1.5}{60} inch/second\\=0.025 inch/second$

So, 0.025 inches of rain fall in one second.

Therefore, the rain fall in 3 second is

$= 3\times 0.025\\=0.075 inches$

The rain fall in 3 second is 0.075 inches.

If you chose option D is correct

If the rain fall is continue to 20 min at the rate of 1.5 inches per min, then the rain fall will be 30 inches.

The rain fall in 3 second is 0.075 inches.

3 0

3 years ago