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suter [353]
3 years ago
13

Which quadratic function has a vertex point of (3,5) and passes through the point (-2,55)?

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

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Solve the system of equations. Write your answers in a list of ordered pairs, separated by commas.
maria [59]
X2+y2=65............1
X2-3y=37..............2
÷both equation. 1 by 2
X+y=32,5
X=32,5-y......... 3
Sub 3 in 2
(32,5-y)2-3y=37
65-2y-3y=37
65-5y=37
-5y=37-65
-5y= - 28 divide both sides by - 5
Y=5,6........ 4

Sub 4 in 3
x=32,5-y
=32,5-5,6
=26,9

Hope it's the way you wanted it

7 0
3 years ago
A craft club makes 95 identical paperweights. They got $230.85 from those paperweights. If the profit the club makes is two time
ahrayia [7]

Answer:

the cost of making each paperweight = $0.81

Step-by-step explanation:

First let us calculate the selling price for each paperweight as follows:

total amount gotten = $230.85

number of paperweights = 95

∴ 95 paperweights = $230.85

∴ 1 paperweight = 230.85 ÷ 95 = $2.43

selling price of 1 paperweight = $2.43

Next, let the cost of making 1 paperweight be 'x'

selling price of paperweight = cost of making + profit gotten

The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.

x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)

∴ 3x = 2.43

x = 2.43 ÷ 3 = 0.81

Therefore, the cost of making each paperweight = $0.81

7 0
3 years ago
Please help with all 3
DerKrebs [107]

Answer:

1, volume=23×9×5

=1035

2, volume=(1/2×5×4)×20

... =200

3.

8 0
3 years ago
Read 2 more answers
I need help please lol
xz_007 [3.2K]

Answer:

48.75

Step-by-step explanation:

3 0
3 years ago
If you can buy 1⁄3 of a pound of salami for 5 dollars, how much can you purchase for 9 dollars?
AnnyKZ [126]
$5 → 1/3 pound
$1 → 1/3 ÷ 5 = 1/3 x 1/5 = 1/15 pound
$9 → 1/15 pound x 9 = 9/15 pound = 3/5 pound
3 0
3 years ago
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