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marshall27 [118]
4 years ago
11

15. Which statement explains why 30 is considered an irrational number?

Mathematics
1 answer:
Strike441 [17]4 years ago
6 0

Consider the given number is \sqrt{30} in question as well as in options.

Given:

\sqrt{30} is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

\sqrt{30}=5.47722557505...

When evaluated, \sqrt{30} results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which  is considered an irrational number.

Therefore, the correct option is C.

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A restaurant charges eight dollars for a large cheese pizza plus $1.50 per topping another restaurant charge is $11 for a large
ryzh [129]

Answer: No

Step-by-step explanation:

at the first restaurant the pizza costs $9.50 and at the second it costs $11.75

8 0
3 years ago
Whta is the common denomiter to 13/20 and 19/30
charle [14.2K]
\frac{13*3}{20*3}= \frac{39}{60} \\ 
 \\  \frac{19*2}{30*2}= \frac{38}{60} \\ 
 \\ Common \ Denominator:60 \\
8 0
3 years ago
Quadratic graphs, question attached<br> Please give easy to understand explanations
Lubov Fominskaja [6]

Answer:

1) x = 0, x = 1

2) x = -0.387 , x = 1.721

Step-by-step explanation:

3x² - 3x + 2 = 2

To convert this into the given graph, subtract 3 from both sides, you get

3x² - 3x - 1 = -1

You can find the x values for y = -1 to solve the given equation.

At y = -1, x = 0, 1

3x² - 3x - 1 = x + 1

To solve for this, add a straight line y = x + 1 on the same graph and look for the point of intersections

You'll see the line and the graph meet at two points:

x = -0.387 and x = 1.721

8 0
3 years ago
Graph the line with slope-2/3<br> passing through the point (-5, -4),
Orlov [11]

Answer:

The figure is attached down

Step-by-step explanation:

To graph a line you must have its equation

The form of the linear equation is y = m x + b, where

  • m is its slope
  • b is the y-intercept (y at x = 0)

∵ The slope of the line is  -\frac{2}{3}

∴ y = -\frac{2}{3} x + b

- To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passing through point (-5 , -4)

∴ x = -5 and y = -4

∵ -4 =  -\frac{2}{3} (-5) + b

∴ -4 = \frac{10}{3} + b

- Subtract  \frac{10}{3} from both sides

∴ -\frac{22}{3} = b

∴ y = -\frac{2}{3} x - \frac{22}{3}

To draw the line substitute x by any two values and find their ys

∵ x = -2

∴ y = -\frac{2}{3} (-2) - \frac{22}{3}  

∴ y = -6

∴ The line passing through point (-2 , -6)

∵ x = 1

∴ y = -\frac{2}{3} (1) - \frac{22}{3}  

∴ y = -8

∴ The line passing through point (1 , -8)

∵ x = 4

∴ y = -\frac{2}{3} (4) - \frac{22}{3}  

∴ y = -10

∴ The line passing through point (4 , -10)

Now we can make a table to draw the line

→  x  : -5  :  -2  :  1  :  4

→  y  : -4  :  -6  : -8 :  -10

Plot the points on the graph paper and draw the line

<em>Look to the attached graph</em>

4 0
4 years ago
Multiply and fill in the blanks
Julli [10]

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; brainly.com/question/4344214

6 0
2 years ago
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