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4 years ago

Which table shows a linear function?

Mathematics

2 answers:

romanna [79]4 years ago

8 0

Answer:

A is the table which shows linear function.

Step-by-step explanation:

It is because there is equal interval between two numbers in the table.

astra-53 [7]4 years ago

4 0

How to Tell if a Table is Linear.
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference. X.
I can’t see the whole tables so it’s hard to tell.
But that’s how you figure it out.
Even though I didn’t give you the exact answer I hope this helped.

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Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Step-by-step explanation:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }$

$=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}$

$\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }$

$=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }$

$=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }$

$=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0

3 years ago

Tom walked to school at a steady pace, met his sister, and they walked home at a steady pace. Select the description for this gr

VARVARA [1.3K]

B. Upside Down V- Shaped

When you draw it out, it looks like a upside down V.

7 0

3 years ago

Find the range & interquartile range of the data set represented by this box plot.

sashaice [31]

Answer:

60 and 25

Step-by-step explanation:

The range is the difference between the maximum value and the minimum value.

maximum value = 125, minimum value = 65

range = 125 - 65 = 60

------------------------------------------

The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box = 115

Q₁ is the value at the left side of the box = 90

interquartile range = 115 - 90 = 25

4 0

3 years ago

What is the simplified form of the following expression? 15sg/-5g

serg [7]

Answer:

the answer is 3sg because it's the only one with out a up side down v and a 2 and if you look at the question it's asking you it has 15sg/- 5g on it put it to together Boom 3sg is your best answer for you

7 0

3 years ago

Divide the polynomials:<br> x^2-3x+9/x-2

Kruka [31]

The value of dividing x^2-3x+9 by x-2 is x + 3

<h3>Ways of dividing polynomials</h3>

There are several ways to divide polynomial functions; some of these ways include

By factorization
By long division
By synthetic division
By using technology such as graph

<h3>How to divide the polynomials?</h3>

The expression for the polynomial division is given as:

x^2-3x+9/x-2

To divide polynomial functions, we make use of the division by factorization method

Start by expanding the numerator of the polynomial division

x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2

Factorize the equation

x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2

Factor out x + 3 from the numerator

x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2

Cancel out the common factors

x^2-3x+9/x-2 = x + 3

Hence, the value of dividing x^2-3x+9 by x-2 is x + 3

Read more about polynomial division at:

brainly.com/question/25289437

#SPJ1

5 0

2 years ago