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vladimir1956 [14]
3 years ago
13

Graph g(x)=− 51 (x+5) ^2 − 2

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

5

,

1

)

Focus:  

(

5

,

9

8

)

Axis of Symmetry:  

x

=

5

Directrix:  

y

=

7

8

x

y

3

9

4

3

5

1

6

3

7

9  

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james invested some money at 13% interest. James also invested $199 more than 3 times that amount at 12%. How much is invested a
Komok [63]

9514 1404 393

Answer:

  • $3138 at 13%
  • 9613 at 12%

Step-by-step explanation:

Let x represent the amount invested at 13%. Then (3x+199) is the amount invested at 12%. The total interest earned in 1 year is ...

  (13%)(x) +(12%)(3x+199) = 1561.50

  0.49x +23.88 = 1561.50 . . . . simplify

  0.49x = 1537.62 . . . . . . . . . . subtract 23.88

  x = 3138 . . . . . . . . . . . . . . . . divide by 0.49

  3x+199 = 9613

$3138 was invested at 13%; $9613 was invested at 12%.

8 0
2 years ago
How many times does 63 go into 7
Anna [14]
63 goes into 7, 9 times
8 0
3 years ago
Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements
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Answer:The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

These are the ones that you need to choose.

7 0
3 years ago
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3 years ago
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And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell v
klasskru [66]

Answer:

P(x) = -0.25x^2 + 42x - 90

Step-by-step explanation:

Given

C(x) = -17x + 90

R(x) =- 0.25x^2 + 25x

Required

Determine the profit function.

Profit function is calculated as thus:

P(x) = R(x) - C(x)

So, we have:

P(x) = -0.25x^2 + 25x -(-17x + 90)

P(x) = -0.25x^2 + 25x + 17x - 90

P(x) = -0.25x^2 + 42x - 90

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