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
ad-work [718]
3 years ago
13

You are graphing y < 2x + 1. What type of line do you use and where do you shade?

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
Since there isn't a line under the < sign, this means that we used a dotted or dashed line. The dotted or dashed line indicates that we do NOT include the boundary as part of the solution set. 

Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set. 

So in summary we have:
A dashed or dotted boundary line
The shaded region is below the dashed/dotted boundary line.
You might be interested in
Maya wants to build a bookshelf with a top, a bottom, and two shelves inside. She wants the height of the entire bookshelf to be
Leni [432]

Answer:

96

Step-by-step explanation:

if u times 24x4=96

8 0
2 years ago
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

where C=2+C_1

Without using substitution:

∫6x^5(x^6-2)\,dx = ∫6x^{11}-12x^5\,dx = \frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C

So, same answer is obtained in both the cases.

7 0
2 years ago
The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?
OLEGan [10]
y=x
...................
3 0
3 years ago
Read 2 more answers
PLSSSS HELP ME I WILL GIVE BRAINLIEST, A HEART, AND 5 STARS PLSSS HELP ME THIS IS DUE BY THE END OF TODAY
marishachu [46]

Answer:

who wanna talk im bored

6 0
3 years ago
Read 2 more answers
Kiera dance class starts at 4:30 pm and ends at 6:15. hiw long is her dance class
AleksAgata [21]
Her dance class is 1 hour and 45 minutes long 

Hope this helps!
5 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose △ITH≅△APG.<br><br> Which congruency statement is true?
    8·2 answers
  • The water level of a lake fell by 1 1/4 in. during a 1 1/2 week long drought what is the average rate at which the water level c
    13·1 answer
  • The points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the dis
    11·1 answer
  • Rewrite using the distributive property then solve. 3(5+7)
    7·2 answers
  • What is the taxidistance between A (1,5) and B (6,2)?<br><br>A. 1<br>B. 2 <br>C. 8<br>D. 14
    6·1 answer
  • What is the solution to the equation x÷8-6=3?
    13·2 answers
  • Help asap! What is equal to 3,068 times 108=?
    13·2 answers
  • There are 15 mill teachers in the school the 35 female teachers in the school use a ratio
    11·1 answer
  • Which of the following expressions are equivalent to - 4 + (4 + 5)?
    8·1 answer
  • -7(2x-5)=-91<br> And I also need to do the check
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!