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
coldgirl [10]
3 years ago
6

Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i

n living. (2 points)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0
Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line <span>y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0,  x = 0  thus

0 < 3(0) - 6

0 < -6   <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4,   x = 4  thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8    <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike </span>⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.

You might be interested in
Write a multiplication equation using one whole number and one fraction that will have a product of 18/8
bezimeni [28]
You could use the solution of 9/4 times 2
8 0
3 years ago
Mary’s pet turtle Waze mary’s pet turtle Weighs 4.094 pounds. How is this number written in word form?
svp [43]
Four and ninety four thousandths. You're welcome!
6 0
3 years ago
Read 2 more answers
Evaluate the expression 2b ^3+5 when b=3
pochemuha

Answer:

59

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

3 0
3 years ago
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises? <br>​
babunello [35]
It rises 11 degrees

Step by step explanation
3 0
3 years ago
HELP
Firdavs [7]

Answer:

4-4=0

16-6-10=0

17-3-4-10=0

1-2+1=0

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the volume of the pyramid shown below?
    9·1 answer
  • If m varies directly as p, and m=5 when p=7, what is the constant of variation?
    9·2 answers
  • Solving systems of three equations
    13·1 answer
  • At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a
    12·1 answer
  • WILL GIVE BRAINLIEST
    11·1 answer
  • What is the image of the point (-1,-2)after a rotation of 180∘
    6·2 answers
  • A certain insect can beat its wings 200 times per second. Write an equation in slope-intercept form that shows the relationship
    11·1 answer
  • A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t
    8·2 answers
  • The product of 50 and the number of employees which algebraic expression represents the phrase
    11·1 answer
  • Help im not sure anyone have any idea
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!