Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4
Answers
Answer:
The correct
answer is B
The correct option is B)
What is a feasible region?A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.
Given here the inequalities as –x + y ≤ –1
x + 2y ≥ 4
The graph plotting the two equations is plotted in the attached file
Hence from the given graph option B is the correct option.
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Related Questions
A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.
Answers
Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
Answer:
8.1
Step-by-step explanation:
A 20-dirham note is 13 cm long. How many such notes need to be placed one after the other without overlapping to cover a length of 1 1 2 m?
Answers
Answer:
861 (approx)
Step-by-step explanation:
It is given that there is a note of 20 dirham. The 20 dirham note is 13 cm long. And we have to place the 20 dirham notes to cover a length of 112 m without overlapping the notes.
We know that :
100 cm = 1 m
∴ 13 cm = 0.13 m
In order to cover a length of 112 m, we have to divide 112 by 0.13, i.e.
[tex]$=\frac{112}{0.13}$[/tex]
[tex]$=\frac{11200}{13}$[/tex]
= 861 (approx)
Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
Answers
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x + 8y = 0
-7x + y = 31
Step 2: Rewrite Systems
-7x + y = 31
Add 7x to both sides: y = 7x + 31Step 3: Redefine Systems
6x + 8y = 0
y = 7x + 31
Step 4: Solve for x
Substitution
Substitute in y: 6x + 8(7x + 31) = 0Distribute 8: 6x + 56x + 248 = 0Combine like terms: 62x + 248 = 0Isolate x term: 62x = -248Isolate x: x = -4Step 4: Solve for y
Define equation: -7x + y = 31Substitute in x: -7(-4) + y = 31Multiply: 28 + y = 31Isolate y: y = 3Someone pls explain :)!!!!
Answers
Answer:
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
The formula is y=mx+b
:D
Would appreciate it if anyone answered this for me :D
Answers
Keiko deposits $6000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
help soon please
Answers
Answer:
540
Step-by-step explanation:
3% of 6000 is 180. Multiply that by 3 years and you have your result.
Please help me again
Answers
Explanation:
You just have to make 3x-28 and x+64 equal to each other and x would be 46.
m∠1=44
Explanation:
You just have to subtract the 46 that u solved earlier from 90 degree so it’s 44
1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.
Answers
Answer:
i don't know if this is what you're asking but here you go
Step-by-step explanation:
90 + 3x + 2x = 180
90 + 5x = 180
- 90 - 90
5x = 90
/ 5 / 5
x = 18
A washer and a dryer cost $887 combined. The washer costs $37 more than the dryer. What is the cost of the dryer?
i will make branlyist
Answers
Answer:
The dryer cost 425 dollars
Step-by-step explanation:
425+462=887
A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
chosen is divisible by 5 or 8.
Answers
Numbers divisible by 5 from 2 to 50 is 10 and numbers divisible by 8 from 2 to 50 is 6 ,therefore 6+ 10 =16 making 16/50 =8/25
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answers
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
HELPPPPPPP I HAVE NO IDEA WHAT THE ANSWER IS!!!
Find the image of the letter for a reflection first across line L and then across line M. Is the resulting transformation a translation or a rotation? For a translation, describe the direction and distance. For a rotation, tell the center of rotation and the angle of rotation.
Which of the following shows the image in blue?
A.
B.
C.
Which of the following describes the resulting transformation?
A. It is a rotation about the point C. The angle of rotation is 76° clockwise.
B. It is a translation down to the right. The distance of the translation is twice the distance between the letter and M.
C. It is a translation down to the right. The distance of the translation is the distance between the letter and M.
D. It is a rotation about the point C. The angle of rotation is 152° clockwise.
Answers
Which ratio is equal to 27 : 81?
A. 1 : 9
B. 2 : 9
C. 3 : 9
D. 3 : 27
E. 9 : 12
Answers
Answer:
C) 3: 9
Step-by-step explanation:
27: 81
Ratios are same as fractions, that is why 27:81 = 27 / 81
Now that we go this fraction, let's make it an equivalent fraction:
(27 / 9) / (81/9)
=> 3/9
=> 3 : 9
If my answer helped, kindly mark me as the brainliest!
Thanks!!
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answers
Answer:
Step-by-step explanation:
list 3 linear equations
List 3 non-linear equations
Answers
Answer:
Linear:
y = 2x + 1
5x = 6 + 3y
y/2 = 3 − x
Nonlinear:
x2+y2 = 1.
x2 + 12xy + y2 = 0.
x2+x+2 = 25
Step-by-step explanation:
Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12
A) x
B) y
C) 3
D) 12
Answers
Y=mx+b
B is the y intercept
B=12
Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. (g+1/g^2 + 2g - 15)+ (g+3/g+5)
Answers
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Edmentum/PLATO answer:
Rewrite the expression:
g+1/g^2+5g-3g-15 + g+3/g+5
Factor out g from expression:
g+1/gx(g+5)-3g-15 + g+3/g+5
Factor out g+5:
g+1/(g+5)x(g-3) + g+3/g+5
Least common denominator: (g+5)x(g-3)
Solve for X.
93°
3x
Vertical angles
Answers
Answer:
x = 31
Step-by-step explanation:
93 ÷ 3 = 31
so that means x equals 31
Given that a = 3 and b = -1, what is the value of 2a - b?
Answers
Answer:
the answer is 7.
Step-by-step explanation:
here's why......if u place the 3 where a is it will become multiplication so that would be 2 times 3 minus b now but if u place -1 the minus becomes addition so it will be 6+1 which is 7.
Answer:
The value of expression when a=3 and b=-1 is 7
Step-by-step explanation:
Given expression is:
2a - b
Also given that
a = 3
b = -1
In order to find the value of the expression, we have to put 3 in place of a and -1 in place of b in the expression
So putting the values
[tex]=2(3)-(-1)\\=6+1\\=7[/tex]
Hence,
The value of expression when a=3 and b=-1 is 7
PLEASE HELP ME!!!!
What is 567-58y+375-56=13c-5s-456x249=?
I NEED HELP!!
Answers
What is 2 1/2 divided 3 3/4?
Answers
Answer:
Step-by-step explanation:
2 1/2 divided by 3 3/4
2.5 divided by 3.75= 2/3 or 0.6
Answer:
2/3 or .66666666666666666
Step-by-step explanation:
2 1/2 = 5/2
3 3/4 = 15/4
Then you get a common denominator:
10/4 divided by 15/4
flip 15/4
10/4 divided by 4/15
then multiply
40/60
then simplify
2/3
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours
Answers
Answer:
1.84
Step-by-step explanation:
Answer:
You answer would be 1.84
Step-by-step explanation:
Is the function shown linear or nonlinear? Explain.
A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.
Answers
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
Can you solve this?
kn+4f=9v, for n
Answers
Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
Answers
If x = 5, which inequality is true?
A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7
Answers
D IS THE CORRECT ONE Step-by-step explanation:
immediate help pls i love u guys <2
Answers
Answer:
N165.53°E
Step-by-step explanation:
Given the following vector points
Vx = -43.0units
Vy = 11.1 units
The direction of the vector is expressed using the formula:
θ = tan^-1(Vy/Vx)
θ = tan^-1(11.1/-43.0)
θ = tan^-1(0.2581)
θ = -14.47°
Since tan is negative in the second quadrant, hence the required direction will be θ = 180-14.47
θ = 165.53°
Hence the direction is N165.53°E
A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?
Answers
Answer:
3284.01, brainliest if correct pls
Step-by-step explanation:
Answer:
3282 cubic inches.
Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.
At the last pep rally 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors
(1st answer will get marked brainliest.. please don’t answer if you don’t know what the answer is.. thank you :))
Answers
Answer:
150
Step-by-step explanation:
Please let me know if you still need help!
Answer:
150 students would be wearing school colors
Step-by-step explanation:
Pretty sure because you divide 350 by 7 (which gives 50), then multiply 50 by 3 to get 150, which would be 3/7 of the student population
Zeke oversees a website for nutritional information on fast food. During its first year, the number of times the website was visited had
net change of +55. During each subsequent month, starting in the next year, the number of visits increased by 320. He wants to find
out how many visits his website will get afterx months assuming this rate continues
Zeke thinks that the website will have 7,500 visits in less than 2 years
Which statements about this situation are true? Select ALL that apply.
A
The expression 320x + 55 can be used to represent this situation,
The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of
320
Answers
Answer: 320x + 55
Step-by-step explanation:
The statements about this situation that are true include:
The expression 320x + 55 can be used to represent this situation.The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of 320.Since the number of times the website was visited had a net change of +55 and during each subsequent month, starting in the next year, the number of visits increased by 320. The expression to solve this will be:
= 320(x) + 55
= 320x + 55
where, x = number of months.
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