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3 years ago

Match each number on the left with the correct description of the number on the right.

Mathematics

1 answer:

Aleks [24]3 years ago

4 0

Step-by-step explanation:

An integer is a number that can be written without a fractional component.

A rational number is a number that can be represented as a fraction with a non-zero denominator, and its decimal expansion is finite or infinite and repeat.

An irrational number is a real number which is not a rational number.

$\bold{integer:}\\-2,\ 150\\\\\bold{rational\ but\ not\ an\ integer:}\\\\-\dfrac{1}{2},\ 6.\overline{6}\\\\\bold{irrational:}\\\\-\sqrt3$

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Which equation is represented by the table?

MatroZZZ [7]

Answer:

$y=-|x-3|-3$

Step-by-step explanation:

The table shows values of $y$ for different values of $x$ .

Let us test each equation with the values given in the table.

Equation 1: $y=|x+3|-3$

For $x$ = 1, we get,

$y=|x+3|-3=|1+3|-3=|4|-3=4-3=1$

So, we got 1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 1 is incorrect.

Equation 2: $y=-|x-3|-3$

For $x$ = 1, we get,

$y=-|x-3|-3=-|1-3|-3=-|-2|-3=-(2)-3=-5$

So, we got -5 for $y$ . It matches with the value of table.

Let us check for another value of $x$ in order to confirm.

For $x =2$ , we get,

$y=-|x-3|-3=-|2-3|-3=-|-1|-3=-(1)-3=-4$

So, we got -4 for $y$ . It matches with the value of table.

So, equation 2 is the correct answer.

We can be completely sure by checking the remaining equations too.

Equation 3: $y=|x-3|-3$

For $x$ = 1, we get,

$y=|x-3|-3=|1-3|-3=|-2|-3=2-3=-1$

So, we got -1 for $y$ . But as per table, value of $y$ should be -5.

So, equation 3 is incorrect.

Equation 4: $y=-|x+3|-3$

For $x$ = 1, we get,

$y=-|x+3|-3=-|1+3|-3=-|4|-3=-4-3=-7$

So, we got -7 for $y$ . But as per table, value of $y$ should be -5.

So, equation 4 is incorrect.

3 0

3 years ago

Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total

Vadim26 [7]

Answer:

$Total Plants = 4F + 2P + 10L+ 8S$

$Total Plants = 2(2F + P + 5L+ 4S)$ --- Distributive property

Step-by-step explanation:

Given

Ferns = 4

Palms = 2

Lillies = 10

Shrubs = 8

Required

Show the total cost of plants as an expression

Shorten it using the distributive property

First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;

So, 4 Ferns = 4F

2 Palms = 2P

10 Lilies = 10L

8 Shrubs = 8S

Total Plants = Summation of the above parameters

$Total Plants = 4F + 2P + 10L+ 8S$

The above expression represents the total plants bought;

Now, to apply the distributive property; we simply look for a common factor;

In this case, the common factor is 2;

So, $Total Plants = 4F + 2P + 10L+ 8S$ becomes

$Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})$

$Total Plants = 2(2F + P + 5L+ 4S)$

7 0

3 years ago

Which decimal is equivalent to 6 4/9 ?

Alinara [238K]

Why are B and C the same answer options?

the answer is 6.4444444444

so id say it either B or C but as they are the same i have no clear way to answer the question

either way its 6.4

8 0

4 years ago

Read 2 more answers

Answer the question in the attachment asap!!!

Crank

Answer:

A. A rotation of 360° clockwise.

Step-by-step explanation:

The rotation rule for clockwise is as such:

360°: (x , y) → (x , y)

This means that the rotation of 360 degrees about the origin is equal to a rotation of 0 degrees. So the transformation would map the image onto itself; the image stays the same.

4 0

2 years ago

What impact did Serbia's sense of nationalism have on tensions in Europe prior to World War I?

melamori03 [73]

<span>Serbia’s sense of nationalism added to tensions in Europe before WWI because it set stronger countries against one another. It also helped lead to the assassination of Archduke Franz Ferdinand, which, when combined with Austria’s ultimatum, caused WWI to begin.</span>

5 0

4 years ago