1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ahrayia [7]
3 years ago
12

Is 5.787787778... a rational or irrational number? Explain.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Answer:

irrational

Step-by-step explanation:

irrational number is an endless number/number that doesnt end and so are that number.

You might be interested in
G(x) = x2 + 3x - 2, find g(-2) Please Explain
Vlad1618 [11]
G(-2) means "evaluate the equation at -2"; it's asking you to swap out the "x" in the equation and sub in -2.

g(x) = x² + 3x - 2  ... plug in -2
g(-2) = (-2)² + 3(-2) - 2  ... simplify
g(-2) = 4 + (-6) - 2 ... add/subtract
g(-2) = -4
5 0
3 years ago
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? -Above the solid line
baherus [9]

The statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Further explanation:

In the question it is given that the inequality is 6y-3x>9.  

The equation corresponding to the inequality 6y-3x>9 is 6y-3x=9.

The equation 6y-3x=9 represents a line and the inequality 6y-3x>9 represents the region which lies either above or below the line 6y-3x=9.

Transform the equation 6y-3x=9 in its slope intercept form as y=mx+c, where m represents the slope of the line and c represents the y-intercept.  

y-intercept is the point at which the line intersects the y-axis.  

In order to convert the equation 6y-3x=9 in its slope intercept form add 3x to equation 6y-3x=9.  

6y-3x+3x=9+3x

6y=9+3x

Now, divide the above equation by 6.  

\fbox{\begin\\\math{y=\dfrac{x}{2}+\dfrac{1}{2}}\\\end{minispace}}

Compare the above final equation with the general form of the slope intercept form \fbox{\begin\\\math{y=mx+c}\\\end{minispace}}.  

It is observed that the value of m is \dfrac{1}{2} and the value of c is \dfrac{3}{2}.

This implies that the y-intercept of the line is \dfrac{3}{2} so, it can be said that the line passes through the point \fbox{\begin\\\ \left(0,\dfrac{3}{2}\right)\\\end{minispace}}.

To draw a line we require at least two points through which the line passes so, in order to obtain the other point substitute 0 for y in 6y=9+3x.  

0=9+3x

3x=-9

\fbox{\begin\\\math{x=-3}\\\end{minispace}}  

This implies that the line passes through the point \fbox{\begin\\\ (-3,0)\\\end{minispace}}.  

Now plot the points (-3,0) and \left(0,\dfrac{3}{2}\right) in the Cartesian plane and join the points to obtain the graph of the line 6y-3x=9.  

Figure 1 shows the graph of the equation 6y-3x=9.

Now to obtain the region of the inequality 6y-3x>9 consider any point which lies below the line 6y-3x=9.  

Consider (0,0) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=0 and y=0 in 6y-3x>9.  

(6\times0)-(3\times0)>9  

0>9

The above result obtain is not true as 0 is not greater than 9 so, the point (0,0) does not satisfies the inequality 6y-3x>9.  

Now consider (-2,2) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=-2 and y=2 in the inequality 6y-3x>9.  

(6\times2)-(3\times(-2))>9  

12+6>9  

18>9  

The result obtain is true as 18 is greater than 9 so, the point (-2,2) satisfies the inequality 6y-3x>9.  

The point (-2,2) lies above the line so, the region for the inequality 6y-3x>9 is the region above the line 6y-3x=9.  

The region the for the inequality 6y-3x>9 does not include the points on the line 6y-3x=9 because in the given inequality the inequality sign used is >.

Figure 2 shows the region for the inequality \fbox{\begin\\\math{6y-3x>9}\\\end{minispace}}.

Therefore, the statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884

Answer details:

Grade: High school

Subject: Mathematics  

Chapter: Linear inequality

Keywords: Linear, equality, inequality, linear inequality, region, shaded region, common region, above the dashed line, graph, graph of inequality, slope, intercepts, y-intercept, 6y-3x=9, 6y-3x>9, slope intercept form.

4 0
3 years ago
Read 2 more answers
If f(x) = 3^x and g(x) = 3^(x+1)+6. Describe the transformations from f(x) to g(x).
OlgaM077 [116]
To move tot he right h units, subtract h from every x to move up k units, add k to the whole equaiton added 1 to every x (subtract -1) added6 to whole thing moved -1 to right (moved 1 to left) moved up 6 units answer is A
5 0
3 years ago
What is 79÷10 as a convert fraction into a decimal
Lera25 [3.4K]
79 divided by 10= 7 7x10= 70 79-70=9 Put a 0 beside the nine Put the decimal beside the 7 10x9=90 90-90=0 Ur answer is 7.9
8 0
3 years ago
Read 2 more answers
What's three fourths times twenty eight equal?
Hoochie [10]
Hi , 3/4 times 28 equals to 84/4
28 is equivalent to 28/1
we just multiply straight across
28 x 3 equals to 84
4 x 1 equals to 4
 
<span />
5 0
3 years ago
Read 2 more answers
Other questions:
  • Jermaine paid 37.95 for 11 gallons of gasoline.what was the price in dollars per gallon?
    7·2 answers
  • A glass contains 250.55 mL of water the actual amount of water in a glass was 279.45 ml to the nearest tenth of percent what is
    14·1 answer
  • X is less than 8 and greater than or equal to-8
    7·1 answer
  • What does the fractions 20/100+25/100+25/100 equal?
    13·2 answers
  • Solve for X. <br> A) 11<br> B) 9<br> C) 6<br> D) 7
    6·1 answer
  • What is 3.536 as a radical?
    8·2 answers
  • How can u simplify 44/42?
    8·2 answers
  • Helpp me plsssssssssssssssssssssssssssssss
    6·2 answers
  • A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
    15·1 answer
  • Equação do primeiro grau.<br> -10 + x = -8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!