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defon
3 years ago
8

Please answer quickly thanks :) good morning btw

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

1. 1/9

2. 0

3. -9

4. -1

Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0

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What are the period and phase shift for f(x) = −4 tan(x − π)?
nadya68 [22]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% function transformations for trigonometric functions
% templates
f(x)=Asin(Bx+C)+D
\\\\
f(x)=Acos(Bx+C)+D\\\\
f(x)=Atan(Bx+C)+D
\\\\
-------------------

\bf \bullet \textit{ stretches or shrinks}\\
~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\
\bullet \textit{ flips it upside-down if }A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{C}{B}\\
~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\
\bullet \textit{vertical shift by }D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}

\bf \bullet \textit{function period or frequency}\\
~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)

with that template in mind, let's see this one.

\bf f(x)=\stackrel{A}{-4}tan(\stackrel{B}{1}x\stackrel{C}{-\pi })+\stackrel{D}{0}
\\\\\\
\stackrel{period}{\cfrac{2\pi }{B}\implies \cfrac{2\pi }{1}\implies 2\pi }
\\\\\\
\stackrel{phase/horizontal~shift}{\cfrac{C}{B}\implies \cfrac{-\pi }{1}}\implies -\pi \qquad \textit{shifted to the right by }\pi \textit{ units}
3 0
4 years ago
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A rectangle R has width x and length y. A rectangle S is formed from R by
ch4aika [34]

The area of the portion of S lying outside R is 63xy

<h3>What is a Rectangle ?</h3>

A rectangle is a polygon with four sides , four angles and four vertices , It has opposite sides parallel and equal.

It is given in the question that

A rectangle R has width x and length y.

A rectangle S is formed from R by multiplying each of the sides of rectangle R by 8

Area of R is xy

Area of S is 8x * 8y = 64xy

The area of the portion of S lying outside = 64xy - xy = 63xy

To know more about Rectangle

brainly.com/question/15019502

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7 0
2 years ago
What is 12 units to right of 0
NNADVOKAT [17]
The answer is 12 as 0+12= 12
3 0
4 years ago
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Which function is equivalent to g(x) = 9 x2 - 24 x + 16?
GenaCL600 [577]

Answer:

Step-by-step explanation:

discriminant = (-24)²  - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

 = 24 / 18

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9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²

3 0
3 years ago
The mass an elephant can lift is equal to 1.2 times the body weight of the elephant. If the elephant can lift a mass of 2,400 kg
Naily [24]

Answer:

4409.245 lbs

Step-by-step explanation:

Can lift = 1.2 x Body Weight

Can lift = L

Body Weight = W

L = 1.2W

If L is 2,400 kg, then let's solve for W.

2400 = 1.2W

divide by 1.2 on both sides.

2000kg = W

Now convert 2000kg to lbs.

4409.245 lbs

3 0
3 years ago
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