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4vir4ik [10]
2 years ago
10

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the

statement that could be true for g. Please no random answers

Mathematics
1 answer:
Kazeer [188]2 years ago
5 0

Answer:

A

Step-by-step explanation:

A is corrects since -13 is in the the domain of g(x) and 20 is in the range of g(x):

  • -20 < -13 < 5
  • -5 < 20 < 45

B is also false since 4 is in the domain of g(x)) and -11 isn't in the range of g(x)

  • -20 < 4 < 5
  • -11 < -5

C is also false since it's mentioned that g(0) = -2  

D is false since 7 isn't in the domain of g(x)

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Rewrite in simplest radical form! Show your work.
vazorg [7]

x^{\frac{1}{\frac{-3}{6} }}

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

x^{\frac{6}{-3} }

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

x^{-2}. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

x^{-2} = \frac{1}{x^{2} }

7 0
2 years ago
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Write 9,540,000 in expanded form using exponents to show powers of 10
krek1111 [17]

Answer:

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Step-by-step explanation:

Given  :  9,540,000

To find : Write 9,540,000 in expanded form using exponents to show powers of 10.

Solution : We have given 9,540,000

Here 9 is at million place 9000000

5 is at hundred thousand place = 500,000.

4 is at tens thousand place = 40,000

We expanded it as

9, 000,000 + 500,000+40,000.

In term of power of 10.

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Therefore,

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

6 0
2 years ago
Which statements accurately describe the function f(x) = 3(16) Superscript three-fourths x? Select three options.
zzz [600]

Answer:

The initial value is 3.

The range is y greater than 0.

The simplified base is 8.

Step-by-step explanation:

The given function is f(x) = 3(16)^{\frac{3}{4}x } ......... (1)

Therefore, the initial value of the function at x = 0 is f(0) = 3(16)^{0} = 3  

Now, the domain can be any real value, since for all real value of x, y exists.

But, for no value of x the function has value < 0.

Therefore, y greater than 0 is the range of the function f(x).

Now, simplifying the equation (1) we will have  

f(x) = 3(16)^{\frac{3}{4}x } = 3(16^{\frac{3}{4} } )^{x} = 3(8)^{x}

Therefore, the simplified base is 8. (Answer)

7 0
2 years ago
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Sarah wants to study the time it takes to complete a lab in a regular biology course compared to the time it takes to complete a
Tcecarenko [31]
Just did it...its the first one...second one....fifth one and sixth one...that..is if your on edegenuity..
6 0
2 years ago
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Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text.
Lelu [443]

Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

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Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

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2 years ago
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