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Lina20 [59]
3 years ago
8

James and Amy plays 3 more games they have played the same number of games as last week fill in the blanks to make the equation

true use +,-, or =
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

3x-3

Step-by-step explanation:

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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

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2 years ago
If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the po
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Answer:

D is the answer

64,000 exponential function  

Step-by-step explanation:

64,000 exponential function  

The number of bacteria in a colony doubles  every 210 minutes.

The population of bacteria = 8000

Determine how many times the population will double.

\frac{630}{210}

 = 3

Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000

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3 years ago
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Answer:

incorrect question

Step-by-step explanation:

that is what you have posted

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