answer.
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
n200080
2 months ago
6

Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Mathematics
1 answer:
tester [12.3K]2 months ago
3 0

Answer:

Step-by-step explanation:

Consider the two inequalities:

y \ge 2x + 1\\ y \le 2x - 2

To plot them, let's first write their corresponding equations:

y = 2x + 1 \\y = 2x - 2

Next, we need to identify at least two points for each equation to create the graph.

For Equation y = 2x + 1:

By setting x = 0, we find y = 1

If we set y = 0, then x = -\frac{1}2.

The two points identified are (0, 1) and (-\frac{1}2, 0).

For Equation y = 2x -2:

By putting x = 0, we arrive at y = -2

Setting y = 0 leads us to find x = 1.

The two points we got here are (0, -2) and (1, 0).

Now we can proceed to plot these points.

Let's try point (1, 4) to check if it satisfies the first inequality.

4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3

Which is verified as true.

Thus, the shaded area would extend towards point (1,4).

Now, let's see if point (1, 4) holds for the second inequality.

4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]

This indicates that the shaded area would be opposite to point (1,4).

<pplease refer="" to="" the="" attached="" graph="" for="" further="" clarity.="">

There is no solution available for this system since a common shaded area does not exist..

</pplease>
You might be interested in
Trapezoid E F G H is reflected across line of reflection k to form trapezoid E prime F prime G prime H prime. Trapezoid E prime
Svet_ta [12734]

Answer:It’s A

Step-by-step explanation:

I just completed the quiz and answered correctly

8 0
28 days ago
Read 2 more answers
The owner of a local health food store recently started a new ad campaign to attract more business and wants to test whether ave
lawyer [12517]

Answer:

The upper bound of the confidence interval is 3127 $/day.

Step-by-step explanation:

With the new sample, we can determine the one-sided 95% confidence interval.

For this interval (one sided, with 95% confidence), z=1.64.

The total number of observations (n) is 45 days.

The average is 2984 and the standard deviation is 585.

We can estimate the upper limit of the confidence interval as

UL=X+z*s/\sqrt{n} \\UL = 2984 + 1.64*585/\sqrt{45}=2984+ 959.4/6.708=2984+143=3127

8 0
2 months ago
WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the
Svet_ta [12734]
Let the coordinates of the points be P(h,k). Also, k = 3h + 1. The distance of point P from the origin is equal to the distance of P from (-3, 4). By setting these distances equal to one another and solving, we arrive at the solution.
6 0
22 days ago
Q is in the interior of angle ROS S in the interior of angle QOP. P is in the interior of angle SOR. S is in the interior of ang
PIT_PIT [12445]

∠ROT=160°

∠SOT=100°

Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT

∠SOR = 160° - 100°

∠SOR = 60°

It is stated that the angles ROQ, QOS, and POT all have the same measure.

Thus, ∠SOQ + ∠QOR = 60°

Since ∠SOQ equals ∠QOR, we can express this as:

2∠SOQ = 60°

From which we find ∠SOQ = 60° ÷ 2

∠SOQ = 30°

Also, ∠POT = ∠SOQ = ∠ROQ = 30°


3 0
2 months ago
Arrange the entries of matrix A in increasing order of their cofactors values
Zina [12379]

To ascertain the cofactor of

A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]

First, eliminate the relevant row and column linked to the specified entries and calculate the determinant of the leftover 2\times 2 matrix while applying alternating signs.


Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|


Ac_{11}=4\times 1- -1\times 2


Ac_{11}=4+ 2

Ac_{11}=6




Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|


Ac_{12}=-(-7\times 1- -1\times -8)


Ac_{12}=-(-7- 8)

Ac_{12}=15




Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|


Ac_{21}=-(5\times 1- 3\times 2)


Ac_{21}=-(5-6)


Ac_{21}=1







A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|


Ac_{23}=-(7\times 2 -8\times 5)


Ac_{23}=-(14-40)


Ac_{23}=26




A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|


Ac_{31}=5\times -1 -4\times 3


Ac_{31}=-5-12


Ac_{31}=-17


A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|


Ac_{33}=7\times 4- -7\times 5


Ac_{33}=28+35


Ac_{33}=63


Therefore, the entries arranged in increasing order of their cofactors values are;

Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63



7 0
1 month ago
Read 2 more answers
Other questions:
  • If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?
    12·1 answer
  • Jaymie wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments wi
    13·1 answer
  • The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the ra
    12·3 answers
  • Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p
    14·1 answer
  • Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below.
    15·1 answer
  • M(t)M, left parenthesis, t, right parenthesis models the distance (in millions of \text{km}kmstart text, k, m, end text) from Ma
    8·1 answer
  • .04 is 1/10 of what number
    6·2 answers
  • Casey likes to run she runs a additional 1/4 mile each day on the last day she ran 1 1/4 miles if she ran half a mile her first
    5·1 answer
  • Graph the lines by finding the points of intersection with the axes (intercepts): y=2x+2
    5·1 answer
  • Stacey has a part-time job at the bike shop. She saves $100 every four weeks for a new car. Find her rate of change After four w
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!