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 cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answers
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?
Answers
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
Answers
Answer:
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
Domain: [tex]x \ne 1[/tex]
Step-by-step explanation:
Given
[tex]f(5x) = \frac{x - 5}{5x - 1}[/tex]
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
[tex]f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}[/tex]
[tex]f(x) = \frac{\frac{x}{5} - 5}{x - 1}[/tex]
Take LCM
[tex]f(x) = \frac{\frac{x - 25}{5}}{x - 1}[/tex]
[tex]f(x) = \frac{x - 25}{5} * \frac{1}{x-1}[/tex]
[tex]f(x) = \frac{x - 25}{5x - 5}[/tex]
To get the domain, we set the denominator as
[tex]5x - 5 \ne 0[/tex]
[tex]5x \ne 5[/tex]
[tex]x \ne 1[/tex]
3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this week?
Answers
Answer:
$420.25
Step-by-step explanation:
Total earnings of the week
[tex] = 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25[/tex]
ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answers
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
Answers
Answer: 74 boxes
Explanation: To get 305 you add the weight of the cart and the weight of the worker
Then create the inequality
Subtract 305 from 4000 and you get 3695
Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50
Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74
-1/2 (10+1/4)
A. -5 -1/4
B. -5 -1/8
C. -5 +1/8
D. -5 +1/4.
Please help, I'll mark first correct as Brainlyest
Answers
Answer:
-5 1/8
Step-by-step explanation:
-5 1/8
Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA bo Anu
Answers
Answer:
Sorry no idea
Step-by-step explanation:
What is the slope of AB in parallelogram ABCD?
Answers
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
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What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answers
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.
Answers
Answer:
83.33 milligrams
Step-by-step explanation:
The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.
Thus, the each dosage = x.
Let's solve for x
[tex] 18x = 1500 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]
[tex] x = 83.33 milligrams [/tex] (nearest hundredth)
Which of the following is true about similar figures?
All similar figures are congruent.
If two figures are not similar, they can still be congruent.
All congruent figures are similar.
If two figures are not congruent, they can't be similar.
Answers
Answer:
All congruent figures are similar
Step-by-step explanation:
Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.
All similar figures are congruent is true about similar figures
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
In mathematics, congruent means identical, and you can cite examples to support your claim.
just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.
If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.
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evaluating reports , help me please ...
Answers
What is the sum?
8+(-12)
-20
24
4
20
Answers
Answer:
-4
Step-by-step explanation:
adding a negative is the same as subtracting a positive
xoxo, your highness...Answer: 24
8 + (-12) = -4
-4 + (-20) = -24
-24 + 24 = 0
0 + 4 = 4
20 + 4 = 24
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answers
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1
Can you write 10 2/3 as an improper fraction?
Answers
Answer:
10 2/3 is 32/3
Step-by-step explanation:
10*3=30
30+2=32
32/3
.
Step-by-step explanation:
10 2/3
add 10 + 2/3
continue
question no. 3 the square root pls help guys pls
Answers
4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm
Answers
Some 10 cm
Can somebody please solve these for me I don't wana do it (thats why i am using so many points)
Answers
Down
6. 4,011
10. -94
11. 26
13. 178
15. -8
16. 6,861
18. 3,482
20. 385
22. 788
24. -5
25. 44
Across
1. -248
5. -9
7. 4,923
8. 90
9. 67
10. -912
12. 119
14. 16
15. -6
17. 743
19. 8,838
21. 47
23. 68
24. -884
26. 15
27. 7,284
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answers
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
What is the sum of -7 1/6 + 3 5/6 in simplest form?
Answers
Answer:
-3 1/3
Step-by-step explanation:
A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answers
Answer:
315 inches
Step-by-step explanation:
180 + 180 * 075 =
180 + 135 = 315
Answer:
The truck is 315 inches long.
Step-by-step explanation:
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answers
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?
I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.
Answers
21 x 11 = 231
Mark worked 21 Hours, Jack worked 37 Hours.
Answer:
Jack earns $37
Mark earns $21
Step-by-step explanation:
m + j = 58
11m + 10j = 601
j = 58 - m
11m + 10(58 - m) = 601
11m + 580 - 10m = 601
1m = 601 - 580
m = 21
j = 58 - m
j = 58 - 21
j = 37
What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?
Answers
Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
I need help will give crown
Answers
Answer:
$15 per hour and he worked 5 hours yesterday.
Step-by-step explanation:
Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.
Set up the equation like this.
7x=105
Divide by 7 to isolate the x
x=15
That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.
15x=75
Divide by 15 to isolate the x
x=5
That means he worked 5 hours yesterday.
P.S. give me crown
Answer:
He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5 hours that day and he made 75 dollars.
Step-by-step explanation:
This is a short answer so u dont have to write that much.
Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:
Answers
Answer:
The x intercept is 4 (by substituting y as zero we get x intercept)
And the y intercept is 8 (by substituting x as zero we get y intercept)
Take (4, 0) and take (8, 0) to graph the line
You're welcome!
Answer:
x = 4 y = 8 graph (4,0) and (8,0)
( Which of the following best describes an ecosystem in a neighborhood garden?
Answers
(10-3)(-2)
giving brainlist out
Answers
Answer:
i think the answers 5
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
(10-3)(-2)
(7)(-2)
-14
Addilyn received 300 of the most popular beads for her birthday.
There are 30 beads per package. How many packages did she receive?
1. a = 300 + 30
2. a = 300 x 30
3. a = 300 divided by 30
4. a = 300 - 30
Answers
Answer:
3. a=300/30
Step-by-step explanation:
you want to figure out how many packages she received, and there are 30 beads in each package. so, you divide the total amount of beads (300) by the amount in each package to determine how many packages there are. 300/30=10 packages of beads