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
mylen [45]
3 years ago
5

Write an inequality that describes the region of the coordinate plane not included in the graph of y<5x+1

Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

An inequality which is not included in the graph of y < 5x+1 is: y\geq 5x+1

Step-by-step explanation:

Given the inequality: y < 5x+1

Since, the  inequality divides the coordinate plane into 2 halves by a boundary line.

One side of the boundary line contains all solutions to the inequality  and other sides of it does not contains the solution of that inequality.

For > and < : Boundary line is dashed

For ≥ and ≤ : Boundary line is solid.

Intercepts for the inequality are:

The related equation for the given inequality y =5x+1   ......[1]

x-intercepts:

Substitute y = 0 in equation [1] to solve for y:

0 = 5x+1  or

-1 = 5x

Simplify:

x = - \frac{1}{5} = -0.2

x-intercepts is: (-0.2, 0).

y-intercepts:

Substitute x = 0 in equation [1] to solve for y:

y =5(0)+1

Simplify:

y= 1

y-intercepts is: (0 , 1).

Since, the solution is a region which is shaded for the given inequality and also the dashed line shows that the inequality does not include the line y= 5x +1 as shown below in the figure,

but the region which is not included in the graph of  y < 5x+1 is:  y\geq 5x+1



 

You might be interested in
34. Find the surface area for the following rectangular prism ​
Taya2010 [7]

\huge\fbox\green{ANSWER}

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

\mathsf \blue{83.25 {cm}^{2} }

4 0
2 years ago
The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a
xenn [34]

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4x

Let the total number of choir students = 6x

Total number of students = 60

As per question statement, we can write the following equation:

\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6

Total number of band students = 4 \times 6 = <em>24</em>

5 0
3 years ago
Suppose she cut the cake into 8 equal pieces and 6 people are all the pieces .Explain how they could have divided the pieces so
lapo4ka [179]
Ok. Because there are 6 people and 8 pieces. So 6 people have 1 slice each. The other 2 pieces. 
The other 2 pieces have to divide both pieces into 3  hat way everyone has a pieces
Every one will have 1 1/3 pieces. 
4 0
3 years ago
6x6=(6x6) + (6x6)<br> So, 6x6= ___ + ____
Annette [7]

Answer:

(6×6) + (6×6)

36. + 36 = 72

3 0
3 years ago
Read 2 more answers
What is true about the dilation?​
JulijaS [17]

Either the first or the third choice is correct. We can't tell which one without seeing the rest of the words ... the ones that are cut out of the picture.

4 0
3 years ago
Other questions:
  • The proof that AMNS AQNS is shown.
    14·1 answer
  • I’m confused on this one
    10·2 answers
  • Applying a Trigonometric Ratio to Find a Side Length
    10·1 answer
  • A store buys 7 sweaters for $42 and sells them for $182. How much profit does the store make per sweater?
    8·1 answer
  • Find the two numbers that have a<br> difference of 3 and a sum of 27.
    9·2 answers
  • Pls answer fast I need it by tomorrow.
    6·1 answer
  • The difference of sixteen and four is greater than ten
    5·1 answer
  • Solve the quadratic equation by using either numeric or graphic approach x^2 + 2x - 3 = 0
    15·2 answers
  • Antonia currently has $4,500 in her
    8·1 answer
  • Two squares are ALWAYS similar true or false
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!