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ELEN [110]
3 years ago
13

How do I do this what is it asking

Mathematics
1 answer:
padilas [110]3 years ago
3 0
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

now.. notice the template above

so hmm  \bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\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{ period of }\frac{2\pi }{{{  B}}}
\end{array}

on a)  D is 2
on b)  D is -2
on c) A is 2
on d) A is 1/2


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Express the fractions 3/4 ,7/16 and 5/8 with the lowest common denominator
xxTIMURxx [149]
3/4, 7/16, 5/8.....LCD = 16

3/4 = 12/16
7/16
5/8 = 10/16
4 0
3 years ago
a yard width is 2 less than it's length. If the perimeter of the yard is 20 feet determine the length and the width of the yard
Arte-miy333 [17]

Answer:

The length is 6 feet and the width is 4 feet

Step-by-step explanation:

Let x represent the length of the yard

The width can be represented by x - 2, since it is 2 less than the length.

Use the perimeter formula, P = 2l + 2w, where l is the length and w is width

Plug in the expressions and perimeter:

20 = 2x + 2(x - 2)

Solve for x:

20 = 2x + 2x - 4

20 = 4x - 4

24 = 4x

6 = x

So, the length is 6. Plug this into x - 2 to find the width

x - 2

6 - 2

= 4

So, the length is 6 feet and the width is 4 feet

5 0
3 years ago
PLEASE HELP ME<br><br> rename 8 ten thousands 4 hundreds
Naddik [55]
80,400 or eighty thousand four hundred
6 0
3 years ago
Read 2 more answers
Jim’s dog weighs 18 pounds 10 ounces. His cat weighs 6 pounds 3 ounces. How many more ounces does Jim’s dog weigh than his cat?
JulijaS [17]
The dog weighs 99 ounces more than the cat. you just have to convert to ounces then subtract.

5 0
3 years ago
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The base of a cone has a radius of 4 millimeters and the height of the cone is 24 millimeters. What is the volume of the cone?
bixtya [17]

Answer:

The volume of the cone is 128π mm³ ⇒ answer (C)

Step-by-step explanation:

* Lets study the cone

- Its base is a circle

- Its height the perpendicular distance from its vertex to

 the center of the base

- The length of its slant height = √(h² + r²)

- The volume of the con is 1/3 the volume of the cylinder

∵ The volume of the cylinder = πr²h

∴ The volume of the cone = (1/3) πr²h

* In our problem:

- r = 4 mm

- h = 24 mm

∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³

* The volume of the cone is 128π mm³

7 0
3 years ago
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