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Stells [14]
2 years ago
5

Mary Ann is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per

Mathematics
1 answer:
NikAS [45]2 years ago
8 0

Answer:

9

Step-by-step explanation:

0.15

+3.00=3.15

3.15÷35=0.09

0.09×100=9

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Find the standard form of the equation of the parabola with a focus at (3, 0) and a directrix at x = -3.
Nikitich [7]
Check the picture below.

now, keep in mind that the focus point is at 3,0 and the directrix is to the left-hand-side of it, therefore, is a horizontal parabola, and it opens to the right-hand-side, like in the picture.

keep in mind that the vertex is half-way between the focus point and directrix, at a distance "p" from either one, notice the "p" distance is just 3 units, since the parabola is opening to the right, "p" is positive.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}
\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}})
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=0\\
k=0\\
p=3
\end{cases}\implies (y-0)^2=4(3)(x-0)\implies y^2=12x\implies \cfrac{1}{12}y^2=x

6 0
2 years ago
A local diner has started selling cupcakes and is using the bar chart given below to keep track of how many are sold each day. H
stepladder [879]

Answer:

17

Step-by-step explanation:

the pattern is adding 4 each day

13 + 4 = 17

actually nvm i read it wrong

4 0
2 years ago
Read 2 more answers
Angela drove 82 miles on Monday. She drove 94 on Tuesday. To the nearest hundred, how many miles did Angela drive over the two d
inessss [21]
You just simply add
82+94= 166
4 0
2 years ago
Read 2 more answers
Match each function formula with the corresponding transformation of the parent function y = –x 2 – 1. 1. y = –x2 – 1 Translated
sweet [91]

Answer:

1. f₁(x)=-x²+2x-2

2. f₂(x)=-x²+6x-10

3. f₃(x)=-x²-2  

4. f₄(x)=-x²+10x-26

5. f₅(x)=-x²-2x-2

6. f₆(x)=-x²

Step-by-step explanation:

1. we have that f(x) is translated right by 1 unit , also

according to the graph f(x) has a vertex P(0,-1) then P₁ ( 1,-1) to f₁(x) therefore y-y₁ = -(x-x₁)² ⇒ y-y₁ = -(x-x₁)² ⇒ y+1 = -(x-1)² ⇒ y=-(x²-2x+1)-1 =-x²+2x-2

2. f(x) is reflected across the x-axis 3, same as in 1., P₂(3,-1) to f₂(x)

y+1 = -(x-3)² ⇒ y=-(x²-6x+9)-1 =-x²+6x-10

3. f(x) is translated down by 1 unit, P₃(0,-2) to f₃(x)

y+2 = -(x)² ⇒ y=-x²-2  

4. f(x) is reflected across the y-axis 5, P₄(5,-1) to f₄(x)

y+1 = -(x-5)² ⇒ y=-(x²-10x+25)-1 =-x²+10x-26

5. f(x) is translated left by 1, P₅(-1,-1) to f₅(x)

y+1 = -(x+1)² ⇒ y=-(x²+2x+1)-1 =-x²-2x-2

6. f(x) is translated up by 1 unit, P₆(0,0) to f₆(x)

y+0 = -(x+0)² ⇒ y=-x²

4 0
2 years ago
Which table has a constant of proportionality between Y and X of 3/4
max2010maxim [7]

Answer:

  Table A

Step-by-step explanation:

The constant of proportionality is the ratio of y to x.

  A: 6/8 = 3/4 . . . . this is the table you want

  B: 1/4 = 1/4 . . . . . constant is not 3/4

  C: values are not proportional

6 0
2 years ago
Read 2 more answers
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