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
Elis [28]
3 years ago
6

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2

straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

You might be interested in
The lines y equals=3x minus−1 and y equals=ax plus+2 are perpendicular if aequals=​_______.
yan [13]
Since perpendicular lines have their slopes as negative reciprocals, the negative reciprocal of the given slope (3) is -1/3. Therefore the a value is -1/3.
3 0
3 years ago
Y=3x-1<br> Help pleaseeeeee
nata0808 [166]

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

3 0
2 years ago
What is the value of st divided by (6r) if r =5 and t =45
SVEN [57.7K]
Write "st div. by 6r" as

  st
-------
   6r
                                                                                   45s        15s        3s
If r =5 and t = 45, but s is unknown, then we get    --------- = --------- = -------
                                                                                    6(r)        2(5)        2
8 0
3 years ago
B - 1 &gt; -17 what does b equal?
Nastasia [14]

Answer:

  b > -16

Step-by-step explanation:

The inequality is given as:

           b - 1 > -17

To solve this problem, add +1 to both sides of the expression:

          b  - 1 + 1 > -17 + 1

Now;

              b > -16

So, all values for which b is more than -16 satisfy the solution for this problem.

6 0
2 years ago
In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this grou
katovenus [111]

Answer:

0.3875

Step-by-step explanation:

Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

=1-0.6 = 0.4

Out of women prob for not selecting hiking as their favorite outdoor activity

=1-0.35 = 0.65

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

=0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875

6 0
3 years ago
Other questions:
  • Which point is collinear with points B and C?  
    6·1 answer
  • Why is writing rational numbers as a fraction of as decimal useful?
    8·2 answers
  • 7(6+y)=(? x6) + (7 x ?)
    6·1 answer
  • ANSWER FAST What is an equation of the line that passes through the point (1,3) and is perpendicular to the line x+3y=9?
    15·1 answer
  • What is 5 ∙ P ∙ 2 Simplified?
    13·1 answer
  • Can you please help with this question
    7·1 answer
  • Ashley drove 315 miles in 5 hours.
    6·1 answer
  • Plz help me with this???
    11·2 answers
  • 2/3 x 1/4 yo plzzz tell me the answer ​
    11·1 answer
  • If (x + 4) is a factor of f(x), which of the following must be true?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!