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marin [14]
3 years ago
12

What is the domain of the function f(x) = x^2-9/x-3 in set notation and in interval notation?

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer:

the domain is f[x]=x2x5ty57ju68jujokm000oikukoii

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nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e
Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

\text{Amount of fencing}=\text{Perimeter of square}

\text{Amount of fencing}=4a=4(11.874)=47.496

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0
3 years ago
Work out the value of (10^4)^2​
Yuri [45]

Answer:

100000000

Step-by-step explanation:

(10^4)^2                                                   key =

{(2.5)^4}^2                                                       . = times

(2^4 . 5^4)^2

(2^4) ^2 (5^4)^2

2^4 ^.2. 5^4^.2

2^8 . 5^8

256. 390625

100000000

4 0
3 years ago
I need to write a problem for this equation 3(2x-5)=24
o-na [289]

Answer:

Three times the difference of two times a number and five is equal to 24, what is x?  

Step-by-step explanation:

To write any equation in word problems, it is important to identify all your parenthesis operations by their technical names. Subtraction is a difference. So since we are multiplying it by 3, it becomes three times a difference.


6 0
3 years ago
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw
True [87]

Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

<h3>Inscribing a square</h3>

The steps involved in inscribing a square in a circle include;

  • A diameter of the circle is drawn.
  • A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
  • The resulting four points on the circle are the vertices of the inscribed square.

Alicia deductions were;

Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle

Benjamin's deductions;

The diameters must be perpendicular to each other. Then connect the points, in order, around the circle

Caleb's deduction;

No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.

It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.

Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

Learn more about an inscribed square here:

brainly.com/question/2458205

#SPJ1

6 0
2 years ago
What is the solution to the equation 6n+7=55
weeeeeb [17]

Answer:

n = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

6n + 7 = 55

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7 on both sides:                    6n = 48
  2. Divide 6 on both sides:                       n = 8

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                    6(8) + 7 = 55
  2. Multiply:                               48 + 7 = 55
  3. Add:                                     55 = 55

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

7 0
3 years ago
Read 2 more answers
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