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ivanzaharov [21]
3 years ago
15

"You had your eye on a authentic Aaron Rodgers jersey at a cost of $124. You saved up and waited to purchase it after the season

was over. You manage to save up $100. While shopping you noticed it was now on sale for $93."
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0
What is the question?
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What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

6 0
3 years ago
3/5 x 7/9 multiplication​
lilavasa [31]
21\25
=========================
3 0
2 years ago
Select the correct answer from each drop-down menu.
sergij07 [2.7K]

Answer:

7.8 and 18.8 is your answer

Step-by-step explanation:

7 0
2 years ago
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Holly deposited $10,000 in an investment account. After 6 years the account is worth approximately $13,400. Which formula repres
eimsori [14]
For this question you need to use the formula: y=p(1+r)^t. P is the principle, or the starting amount, $10,000, r is the rate of growth or decay, and t is the number of years. y=10,000(1.05)^x
3 0
3 years ago
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How would u write Subtract 2 from 5 times d​
julsineya [31]

Answer:

5D-2

Step-by-step explanation:

5 times d = 5d. subtract 2 is after the 5d

5 0
3 years ago
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