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Kipish [7]
4 years ago
10

Find the domain and range of f(x)=3^x

Mathematics
2 answers:
Margaret [11]4 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f(x) cannot be 0 or negative, no matter how negative x is,  - the range is (0, ∞)

Elenna [48]4 years ago
6 0

Answer:

Domain: all real values of x

Range: f(x) > 0

Step-by-step explanation:

f(x) = 3^x

There's no domain restriction, so x can take any real value

Tye graph f(x) has a horizontal asymptote at y = 0 because with a positive base, the output can never be 0 or negative

Hence the range is y > 0

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Multiplicative inverse thx!
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The multiplicative inverse of -1/3 is -3.
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3 years ago
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odomet
Nadusha1986 [10]

Answer:

Step-by-step explanatin

it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook

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3 years ago
To estimate the product 3.48 times 7.33,Marisa multiplied 4 times 8 to get 32.Exsplain how she can make a closer estimate
notka56 [123]

Marisa had rounded 3.48 to 4 and times it to 7.33 which she rounded to 8

In fact 3.48 is closer to 3 we know this since the .48 of 3.48 s below .50 if it was .50 or above it would round to 4 but it doesn't the same applies to 7.33 so

it should be 3 x 7 = 21

5 0
3 years ago
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Please anybody help me in this
Simora [160]

Answer:

<h2>a) 0.38</h2><h2>b) 0.62</h2><h2>c) 0.78</h2><h2>d) 0.03</h2><h2>e) 0.02</h2><h2>f) 0.62</h2><h2>g) 0.38</h2>

Step-by-step explanation:

a)

Probability of a owner to be moved = \frac{total owner}{total Americans} = \frac{14.8}{39} = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = \frac{total renters}{total Americans} = \frac{24.2}{39} = 0.62

c)

Probability of a person who moved in the same state = \frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39} = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = \frac{Total moved to different country}{Total Americans} = \frac{1.3}{39} = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = \frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8} = 0.02

f)

Probability of a renter moving in the same state = \frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4} = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = \frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3} ≅0.38

3 0
3 years ago
The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
3241004551 [841]

Answer:

Option 2 - 3.2 inches.                      

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible  lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

H^2=P^2+B^2

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

8^2=P^2+5^2

64=P^2+25

P^2=64-25

P^2=39

P=\sqrt{39}

P=6.24

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

H^2=8^2+5^2

H^2=64+25

H^2=89

H=\sqrt{89}

H=9.43

Therefore, The possible length of the third side of the triangle is

L=H-P

L=9.43-6.24

L=3.19

Therefore, The difference between the two possible  lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0
3 years ago
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