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Alex777 [14]
2 years ago
15

Which option below demonstrates the correct interval notation for a

Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

<h3>What is interval notation?</h3>

It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.

We have:

Continuous set of all numbers between 5 and 6, including 5, but not including 6.

From the above statement we can represent the number in the interval notation:

The numbers are between 5 and 6.

(5, 6)

As it is mentioned that 5 is included and 6 is not included, then:

[5, 6)

Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.

Learn more about the interval notation here:

brainly.com/question/13048073

#SPJ1

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What is the Square root of x
Tanzania [10]

Answer:

x =0

Step-by-step explanation:

Solve for x over the real numbers:

sqrt(x) = 0

Square both sides:

Answer: x = 0

7 0
3 years ago
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What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

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8 0
3 years ago
Linear equation <br><br> 4.5 + 1.5y=24<br> x-y=4
WARRIOR [948]
4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x -  1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
                                             <u>6y</u> = <u>6</u>
                                              6     6
                                               y = 1
                             4.5x + 1.5(1) = 24
                                 4.5x + 1.5 = 24
                                 <u>         - 1.5    - 1.5</u>
                                          <u>4.5x</u> = <u>22.5</u>
                                           4.5      4.5
                                               x = 5
                                          (x, y) = (5, 1)
8 0
3 years ago
Jo.
AleksAgata [21]
Oh okie so sorry sorry about the delay in
3 0
2 years ago
Help me and fast! And please show work!
tekilochka [14]

Answer:

171

Step-by-step explanation:

fbgetjmnryjnmyjnmryjnhm

6 0
3 years ago
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