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Evgesh-ka [11]
3 years ago
15

Exponential Function:

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

  • e) Horizontal translation to the right of 2 units and vertical translation down of 4 units.

Step-by-step explanation:

<u>Given</u>

  • f(x) = 5^(x-2) - 4

which is the result of the transformation of the function g(x)= 5^x

<u>We can see that</u>

  • f(x) = g( x - 2) - 4

This is indicating horizontal shift 2 unit to the right and vertical shift 4 units down

Correct answer option is e)

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ladessa [460]

Given:

AB=6\ BC=r,\ CD=r,\ AD=12.

To find:

The value of r.

Solution:

We have,

AB=6\ BC=r,\ CD=r,\ AD=12.

We know that the radius is perpendicular to the tangent at the point of tangency

AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., m\angle D=90^\circ.

Using Pythagoras theorem, we get

AC^2=AD^2+CD^2

(6+r)^2=12^2+r^2

36+12r+r^2=144+r^2

12r=144+r^2-36-r^2

On further simplification, we get

12r=108

r=\dfrac{108}{12}

r=9

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8 0
2 years ago
For a certain recipe, Ben takes a 5 1/2 -cup sack of sugar and uses all but 1 3/4 cups.
Lemur [1.5K]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Will give Brainliest
jekas [21]

Answer:

the second choice is it

8 0
3 years ago
From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is
cestrela7 [59]

Answer:\frac{15}{56}

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways  selecting 2 two people knowing Geroge will be the third one is

^6C_2 (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is ^8C_3

Therefore the required Probability is \frac{^6C_{2}}{^8C_{3}}    

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3 0
3 years ago
Linda purchase a prepaid phone card for $30. Long distance calls cost $.17 a minute using this card when do use her card. Linda
balandron [24]

Answer: her call lasted for 44 minutes

Step-by-step explanation:

Linda purchase a prepaid phone card for $30. This means that the credit on her card is $30.

Long distance calls cost $0.17 each. Linda use her card only to make a long distance call. Assuming she made a total of x minutes of long distance calls, the cost would be $0.17x. The amount remaining on her card will be

30 - 0.17x

if the remaining credit on her card is $22.52, the number of minutes,x that the call lasted will be

22.52 = 30 - 0.17x

0.17x = 30 - 22.52

0.17x = 7.48

x = 7.48/0.17 = 44

7 0
3 years ago
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