Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
x > 3 y < 2x - 5 answers: (-3, -1) (1, 11) (4, -1) (5, 6)
Answers
Given:
The system of inequalities:
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
To find:
The point that represents a solution to the system by using the graph.
Solution:
We have,
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
The related equations of these inequalities are:
[tex]x=3[/tex]
[tex]y=2x-5[/tex]
The line [tex]x=3[/tex] is a vertical line that intersect the x-axis at 3.
The table of values for [tex]y=2x-5[/tex] is:
x y
0 -5
1 -3
Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.
The boundary lines are dotted lines because the points on the lines are not included in the solution set.
Check the inequalities for (0,0).
First inequality: [tex]0>3[/tex] ( False)
Second inequality: [tex]0<2(0)-5[/tex]
[tex]0<-5[/tex] (False)
Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).
Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.
From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.
Therefore, the correct option is C.
Related Questions
PLEASE HELP!!! find the value of x. if necessary, write your answer in simplest radical form
Answers
Answer:
[tex]\sqrt{80}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
8^2+x^2=12^2
64+x^2=144
x^2=80
[tex]\sqrt{80}[/tex]
Step-by-step explanation:
using Pythagorean theorema²+b²=c²12 hypotenuse and let us say 8 is the 'a'
=> 8²+x²=12²=>64+x²=144
=>x²=144–64
=>√x²=√80
=>x=4√5
What is the simplified form of (2 + 4) - 15?
Answers
Answer:
(6)-15
=
simplified to 9.
60% of the students on the field trip love the museum. If 24 students love the museum, how many students went on the field trip?
Answers
Answer:
40
60% of 40 is 24
so the answer would be 40
What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.
Answers
-13 - 4 (-13+ -4) is equal to -17. Due to absolute value bars, it is now positive 17.
21-4 = 17
Step-by-step explanation:
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answers
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
What is the value of X?
Answers
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
A full bag of cat food weighs 2 ⅙ pounds. How much cat food do you have if there are 4 ½ bags in the cupboard? *
Answers
there would be 2 bags in there
Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Testing (1, 4) which on the line. 4 = 3x1 + 1 is true so the line is solid.
Testing (0, 0) which is below the line. 0 = 3x0 + 1 is true so the origin must be in the shaded region.
4.
15
33
What is the value of x round to the nearest tenth
Answers
Answer:
31.9
Step-by-step explanation:
cos(15°)× 33 = 31.87~ 31.9
The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why
Answers
Answer:
Median, because the data are skewed and there is an outlier
Step-by-step explanation:
yo hoped it helped
Three families, a, b, & c share 480 kg of rice. B receives twice as much as a, c receives half of b. How much rice does each family get?
Answers
Answer:
Family a got 120kg, b got 240 kg and c got 120 kg
Step-by-step explanation:
Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.
a + b + c = 480
Given that B receives twice as much as a, c receives half of b then,
b = 2a and
c = 1/2 b = b/2
from b = 2a,
a = b/2
substituting into the first equation
b/2 + b + b/2 = 480
b + b = 480
2b = 480
b = 480/2
= 240 kg
a = c = b/2
hence a = c = 240/2 = 120kg
A cylinder has a radius of 6 m and a height of 11 m.
What is the approximate surface area of the cylinder
Answers
Answer:
https://www.calculatorsoup.com/calculators/geometry-solids/
use that webiste it will answer your problem
Step-by-step explanation:
Answer: 640.6m^2
Step-by-step explanation:
the area of hanks farm is n acres. the area of hank's farm is 8 times as large as the area of stans farm
a. if s represents the area of Stan's farm express s in terms of n
b. state the independent and dependent variables in the equation
+ 50 points and brainlist
Answers
Step-by-step explanation:
a. s = n/8
b. the independent variable is s
the dependent variable is n
Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please
Answers
Answer:
98 - 84 = 14(this is the change) now we convert this to a percent
14/1 x 100/100 = 14%
Two weeks ago Mike ran 10 miles for his longest run ever. Yesterday, Mike ran 14 miles for a new personal record. What the the percent change in Mike's long distance runs
Answers
Answer:
40%
Step-by-step explanation:
percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100
change in miles ran = new personal record - initial personal record
14 - 10 = 4
(4/10) x 100 = 40%
someone pls help me
Answers
Because if think about the base and the area
You will understand
B = P + Prz solve for r
Answers
Answer:
(B-P) / Pz = r
Step-by-step explanation:
B = P + Prz
Subtract P from each side
B-P = P -PPrz
B-P = Prz
Divide each side by Pz
(B-P) / Pr = Prz/Pz
(B-P) / Pz = r
Candy is creating balloon arrangements for a party . She has 32 red balloons , 24 white balloons and 16 orange balloons. She wants to make each arrangement with the same number of balloons for each colour . What Is the greatest number of arrangements that can be made by her if each balloon is used ?
Answers
Answer:
16
Step-by-step explanation:
Each arrangement would contain 4 red, 3 white and 2 orange balloons.
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
Answers
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
What percent of 3/4 is 3/8 ? (Round to the nearest whole percent)
Answers
I think the answer is 2 percent
hope this is answer
Find the circumference for the circle. Use 3.14 for pi (10.5cm) round to the nearest hindered as needed.
Answers
It's 346.19 (rounded up)
Step-by-step explanation:
it can be simplified to: 3.14×(10.5x10.5)
Then just work down
3.14×110.25
346.185
and then round up bc of the 5
346.19
two Friends have agreed to do a job with pace $2,000 total together there receive apart payment Of 0.25 Of the total amount How much of part payment should reach friend receive ,if they split it equally?
A.$250
B.500
C.$1000
D.1500
Answers
What is the 18th term of the arithmetic
sequence 2,-2.-6.-10....?
F-72
H -68
WG -70
J -66
Answers
Answer:
J
-66
Step-by-step explanation:
a1 = 2
n = 18
d = - 4
a18 = a1 + (n - 1) * d
a18 = 2 + (18 - 1)*(-4)
a18 = 2 + 17*-4
a18 = 2 - 68
a18 = -66
Will give brainliest!
Answers
Find the value of x
I give you 10 points if you help
Answers
Step-by-step explanation:
x = 55
I hope this is helpful
Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)
Answers
Answer:
Spent less than budget by $10
Step-by-step explanation:
→ Work out total budget
100 + 150 + 50 = 300
→ Work out total expenditure
95 + 175 + 20 = 290
M⁵ = what when m = ⅔
Answers
Answer:
Step-by-step explanation:
M^5
(2/3)^5
2^5/3^5
32/243
Answer:
0.13
Step-by-step explanation:
M ^5
Divide 2/3
Equals 0.6667
0.6667 ^ 5
Equals 0.13 Rounded
i give brainliest if you help me out
Answers
PLEASEEEEEEEEE HELPPPPPP IM BEGGING UUUUUUUU PLEASEEEEEEEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
missing angle is 113 degree because the relation between 113 degree and missing angle is that they are alternate interior angle and alternate interior are always equal.
what are the amplitude period phase shift and midline for F(x)=-4cos(3x-3.14)+2
Answers
Answer:
Step-by-step explanation:
f(x) = -4cos(3x-pi) +2
compare to f(x) = A cos (B(x+C))+D
A is amplitude =4
Period is 2pi/B so period = 2pi/3
Phase shift is C so phase shift = -pi (this could be positive if it shifted to the left)
Midline is at D so midline is y=2