Which graph represents the solution set of the system of inequalities?
−3x+y>1
y≥x−1
Answer:
Option D is the correct choice.
Step-by-step explanation:
We have been given a system of inequalities. We are asked to choose the graph that represents solution set of the given system.
[tex]-3x+y>1[/tex]
[tex]y\geq x-1[/tex]
The boundary line of [tex]-3x+y>1[/tex] will be a dotted line as it has a [tex]>[/tex] sign. The boundary line of this inequality will cross y-axis at point (0,1) and will have a slope of 3.
The boundary line of [tex]y\geq x-1[/tex] will be a solid line as it has a [tex]\geq[/tex] sign. The boundary line of this inequality will cross y-axis at point (0,-1) and will have a slope of 1.
Now, we will check point (0,0) in both inequalities to find the shaded region.
[tex]y\geq x-1[/tex]
[tex]0\geq 0-1[/tex]
[tex]0\geq -1[/tex]
Point (0,0) satisfies inequality [tex]y\geq x-1[/tex], so shaded region will be area including point (0,0)
[tex]-3(0)+0>1[/tex]
[tex]0+0>1[/tex]
[tex]0>1[/tex]
Point (0,0) doesn't satisfy inequality [tex]-3x+y>1[/tex], so shaded region will be area excluding point (0,0).
The solution set of given system of inequalities will be area of included in both inequalities.
We can see that last option is the correct choice as it has one dotted line (y-intercept 1) and one solid line (y-intercept -1).
Therefore, option D is the correct choice.
Answer:
The bottom choice one the right is correct
Step-by-step explanation:
Hope this helps :)
In a sale price of bag is reduced to 1/5.sale price is 29.40.work out the original price
one day at lunch , a restaurant served 178 burgers, 63 grilled cheese sandwiches, and 37 salads.
Estimate about how many meals the restaurant served for lunch that day.
A. 80
B. 180
C. 280
D. 160
Number of meals served by restaurant for the lunch is estimated as option C. 280.
To estimate how many meals the restaurant served for lunch that day, you can add up the number of each item served:
Number of burgers = 178
Number of grilled cheese sandwiches = 63
Number of salads = 37
Now, to get a rough estimate of the total number of meals served, add these quantities together:
Total meals served = 178 (burgers) + 63 (grilled cheese sandwiches) + 37 (salads) = 278
Therefore, the choices provided are close to this estimate is option is C. 280.
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Erica had 6 coins in her coin collection. she goes to a coin show and buys some coins. how many dose she have now?
what is62% of 25????????????????
Micah divided 47 2/3 by 11 5/6 and got 4 2/71 for an answer. Does his answer seem reasonable? Explain your thinking. Then check Micah's answer.
Which of the following statements best describes the location of −(−5) on a number line?
Tyler is 5 years younger than three times his cousin Lejla's age. Tyler is 40 years old. Let l represent Lejla’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Tyler’s age?
a) 5l−3
b) 3l−5
c) 3l−40
d) 3l + 5
Answer:
The answer is B
Step-by-step explanation:
A horse ran 800 meters in 40 seconds, 1,200 meters in 60 seconds,and 480 meters in 24 seconds. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent. Write an equation to represent the distance d , in meters, that the horse runs in t seconds
The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, a horse ran 800 meters in 40 seconds, 1,200 meters in 60 seconds and 480 meters in 24 seconds.
Here,
800/40 =20, 1200/60 =20 and 480/24=20
Now, in proportional relationship d∝t
d=kt
800=k×40
k=20
d=20t
The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.
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*Quick answer please
Mr. Harding sold 100 shares of stock at $14 per share. He had a loss of $6 per share. What did Mr. Harding pay for each share of the stock?
I didn't understand the question very well. I mostly need to know what the question is asking..
The graph of the equation y= 1
/2
x - 3 is shown. Determine the value of y for the point (4, y).
A)
-2
B)
-1
C)
0
D)
1
Write the perimeter of the floor plan shown as an algebraic expression in x.
find the slope of the line that contains the following points A : [ 17 , -12 ] and [ 17 , 8 ] and B [ 6 , -2 ] and [ -3 , 1 ]
How many ways can four stamps be attached
Identify the coordinates of P(–5, 7) after a rotation of 180° about the origin. a. P’ = (5, 7) c. P’ = (5, –7) b. P’ = (–5, –7) d. P’ = (7, –5)
576,000 in standard form
8 oranges cost $1 how much do 2 dozen oranges cost?
Mrs taylor gave each of her students 75 pieces paper at the beginning of the school year if there are 32 students in her class how many pieces of paper did she give out altogether
Please help!!! I don’t get any of this can someone please explain what to do and how I can get my answer????
Vicky went to the store for her mom. She bought a loaf of course bread for $2.73, a bag of cookies for $4.19, and a dozen eggs for $2.97. What was the total cost of the items?
How much is the rate.i need help
As shown, Suzi starts her hike at an elevation below sea level.whaen she reaches the end of the hike,she still below sea level at -127 feet. What was the change in elevation from the beginning of suzi's hike to the end
(Current elevation: -225 feet )
Current Position of Suzi below Level = -225 Feet
Now, Suzi Started her Hike
Position of Suzi after taking Hike from her initial Position= -127 feet
The change in elevation from the beginning of suzi's hike to the end
= -127 -(-225)
= -127 +225
= 98 feet
The change in elevation from the beginning of suzi's hike to the end=98 feet
Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:
Which statement best describes the relationship between the positions of the two players?
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Answer:
"Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different."
Step-by-step explanation:
x+2y=23
5x+10y=55
solve please
Which of the following is a net of a rectangular prism?
A. Z
B. X
C. W
D. Y
8+4a+6.2−9a simplify
A grandmother says her grandson is two years older than her granddaughter and that togther, they are at least 12 years old. how old are her grandson and granddaughter
Simplify.
-2(3)² - 8 ÷ 2 + 6
A) -18
B) -16
C) -7
D) 7
How many tens are in 2,430
I WILL MARK BRAINLY
Which decimal number is equal to 2/3 ?
0.6
0.66
_
0.6
0.67
What is 3/5 written as a decimal?
0.12
0.3
0.6
1.67
Which decimal number is equal to 7/9 ?
0.7
_
0.7
0.78
_
0.78
Karl bought 312 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Enter your answer in the box.