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ra1l [238]
3 years ago
7

What is the domain of F(x)=√x ? (PLEASE HELP ASAP)

Mathematics
1 answer:
leva [86]3 years ago
5 0

Option C. all real numbers greater than 0 is the correct answer

Further explanation:

Domain is the set of all inputs on which the function is defined or real.

The given function is:

f(x)=\sqrt{x}

As the function involves a square root, we have to avoid negative numbers.

  • All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
  • If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number

So the domain will only include positive real numbers.

Hence, Option C. all real numbers greater than 0 is the correct answer.

Keywords: Domain, Domain of radical functions

Learn more about domain at:

  • brainly.com/question/3511750
  • brainly.com/question/3852778

#LearnwithBrainly

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A high school class consists of 7 ​seniors, 10 ​juniors, 12 ​sophomores, and 11 freshmen. Exactly 4 of the juniors are female​,
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Answer:

1/13

Step-by-step explanation:

There exactly 7 seniors 10 Juniors, 12 sophomores and 11 freshman

in which 4 of the juniors are Female , and exactly 2 of the sophomores are male. Therefore,

10-4= 6 juniors are male

12-2 = 10 female sophomores

Total = 7+10+12+11= 40 students

P(male junior then female soph.)= \frac{6}{40}\times\frac{10}{39}= \frac{1}{26}

P(female soph then male junior)= \frac{10}{40}\times\frac{6}{39}= \frac{1}{26}

Therefore the final answer will be = 1/26 +1/26= 1/13

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3 years ago
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank
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Answer:

The value  is P_o = \$ 561958.9

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  C =  2000 \  gallon

   The duration usage is  t = 15\ years \ ago

   The cost of 2000-gallon tank 15 years ago is P =  \$100,000

    The capacity of the second tank considered is C_1 = 5,000  

    The power sizing exponent is e = 0.57

     The initial construction cost index is  u_1 = 180

      The new construction after 15 years cost index is  u_2 =600

Equation for the power sizing exponent is mathematically represented as

      \frac{P_n}{P} = [\frac{C_1}{C} ]^{e}

=> Here P_n is the cost of 5,000-gallon tank as at 15 years ago  

So

     P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000

      P_n  =  \$168587.7

Equation for the cost index exponent is mathematically represented as

      \frac{P_o}{P_n}  =  \frac{u_2}{u_1}

HereP_o is the cost of 5,000-gallon tank today

So

       \frac{P_o}{168587.7}  =  \frac{600}{180}

=>    P_o = \frac{600}{180} * 168587.7

=>      P_o = \$ 561958.9

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