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Thepotemich [5.8K]
3 years ago
11

19. Marianna wants to buy a new tennis racket that

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

11 weeks

Step-by-step explanation:

30-8=22

22/2= 11

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The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)^2 + k
stepan [7]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
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}\\\\
--------------------\\\\

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

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's see, it went to the right 2 units, and then up 3 units.

that simply means, C = -2, D = 3.
8 0
3 years ago
How do I factor 5n^2 +19n+12
trapecia [35]
I hope this helps you

3 0
3 years ago
30.00
GalinKa [24]

Answer:

  (13,-23)

Step-by-step explanation:

Comparing the image coordinates to the transformation rule, you see that ...

  (x -4, y +15) = (9, -8)

Adding (4, -15) to these coordinates, we get ...

  (x -4, y +15) +(4, -15) = (9, -8) +(4, -15)

  (x-4+4, y+15-15) = (9+4, -8-15)

  (x, y) = (13, -23) . . . . coordinates of D

4 0
3 years ago
Factor the polynomial completely.24x^3-40x^2 45x-75
kumpel [21]
24x^3-40x^2. 45x-75
8x^2(3x-5). 15(3x-5)

(8x^2+15)(3x-5)
3 0
3 years ago
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
larisa [96]

Answer:

y = - 6x - 57

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line

4 0
3 years ago
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