Consider the following graph which represents the solutions to a system of inequalities. Which of the following systems of inequalities does the graph represent?
Answers
Answer:
The system of inequalities is -2x + y > 0 -x + y ≥ 0
Step-by-step explanation:
The form of the equation of a line is y = m x + b, where
m is the slopeb is the y-interceptThe line passes through the origin, then
The value of b = 0The form of the equation is y = m xLet us look at the graph to find the correct answer
∵ One of the lines are solid and the other is dashed
∵ The shaded area is over the two lines
∴ The signs of the two inequalities are ≥ and >
∵ The two lines pass through the origin
→ That means the y-intercepts are 0
∴ The form of the inequalities are y ≥ m[tex]_{1}[/tex] x and y > m[tex]_{2}[/tex]
There are only two answers that have these forms, so we must find the slope of each line
∵ m = [tex]\frac{y2-y1}{x2-x1}[/tex] , (x1, y1) and (x2, y2) are two points on the line
∵ The solid line passes through points (0, 0) and (2, 2)
∴ m[tex]_{1}[/tex] = [tex]\frac{2-0}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1
→ Substitute it in the form of the equation
∴ y ≥ 1(x)
∴ y ≥ x
→ Subtract x from both sides
∴ -x + y ≥ 0
∵ The dashed line passes through points (0, 0) and (1, 2)
∴ m[tex]_{2}[/tex] = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2
→ Substitute it in the form of the equation
∴ y > 2(x)
∴ y > 2x
→ Subtract 2x from both sides
∴ -2x + y > 0
The system of inequalities is -2x + y > 0 -x + y ≥ 0
Answer:
The system of inequalities is -2x + y > 0 -x + y ≥ 0
Step-by-step explanation:
i did it
Related Questions
All of the following expressions are equal except_____. Help!!!!
Answers
A chemist is using 336 milliliters of a solution of acid and water. If 16.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
Answer:
Amount of acid = 55.1 mm (Approx)
Step-by-step explanation:
Given:
Amount of solution = 336 mm
Percentage of acid = 16.4%
Find:
Amount of acid
Computation:
Amount of acid = Amount of solution x Percentage of acid
Amount of acid = 336 x 16.4%
Amount of acid = 55.1 mm (Approx)
Help PLZ Kinda been confused
Answers
9514 1404 393
Answer:
use the transitive property and the congruence of vertical angles
Step-by-step explanation:
First of all, look at the figure and the given information, and see how that relates to the question being asked.
Here, you're given several angles between the lines of interest, all of which are congruent, and you're asked to show the lines are parallel. Two of the given angles (1 and 4) are "alternate interior angles", so the theorem relating those to parallel lines is useful.
Statement . . . . Reason
1. ∠1 ≅ ∠2, ∠3 ≅ ∠4 . . . . 1. Given
2. ∠2 ≅ ∠3 . . . . 2. Vertical angles are congruent
3. ∠1 ≅ ∠3 . . . . 3. transitive property of congruence*
4. ∠1 ≅ ∠4 . . . . 4. transitive property of congruence
5. k ║ l . . . . 5. Converse of alternate interior angles theorem**
_____
* The transitive property tells you if a ≅ b and b ≅ c, then a ≅ c.
** The alternate interior angles theorem says the alternate interior angles at a transversal crossing parallel lines are congruent. The converse says if those angles are congruent, then the lines are parallel.
You spin the spinner twice. Find the probability of spinning a 2 then a number greater than 2. ( 6 spaces)
Answers
Answer:
1/9
Step-by-step explanation:
You take 1/6 times 4/6 which equals 1/9.
Hope that helped! :)
The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
A. (3, 4) is the solution to both lines A and B.
B. (3, 4) is the solution to line A but not to line B.
C. (0.2) is the solution to both lines A and B.
D. (0, 2) is the solution to line A but not to line B.
Answers
Answer:
(3, 4) is the solution to both lines A and B.
Thus, option A is true.
Step-by-step explanation:
As we know that the point of intersection of two lines is the solution of the system of the equations.
From the graph, it is clear that the two lines meet at x=3 and y=4.
It means the point of intersection of the two lines is (3, 4).Hence, (3, 4) is the solution to both lines A and B.
Thus, option A is true.
In 1990 Dallas, Texas, had an estimated population of 1,006,877. By 2000 the population had increased. 18 1/20%. What was the estimated population in 2000 for Dallas, Texas? Find the answer to the nearest whole number
Answers
can anyone answer this?
can anyone answer this
24−(−37) please help me
Answers
Answer:
24−(−37) = 61
Step-by-step explanation:
Emily wanted to make shish kabobs for a barbecue she was having for her swim party. The bag she purchased from the grocery store contained a total of 75 shrimp. Emily noticed that she had a dozen skewers to utilize. Emily claims that she will be able to include 5 shrimp on each skewer and have a total of 15 left over. Explain why we can quickly see Emily made a mistake just by looking at the number of shrimp she had left over. Please use proper vocabulary in your explanation. As part of your explanation please be sure to tell me how many shrimp can fit on each skewer and if there are any left over.
Answers
Answer:
Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.
Step-by-step explanation:
Given that:
Total number of shrimp contained in the bag of Emily = 75
Number of skewers available = A dozen
A dozen means 12.
Therefore, there are 12 number of skewers available.
Each skewer can have = 5 number of shrimp
Total number of shrimp on the 12 skewers = 12 [tex]\times[/tex] 5 = 60
Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15
Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.
10y + 12 - 7y - 8 - 3y = ?
Answers
Answer:
The answer is 4 :)
Step-by-step explanation:
Gary walked 9 ⅓ miles last week. This week he walked half that distance. How far did he walk this week.
Answers
Answer:
k
Step-by-step explanation:
good job
Answer:
He walked about 4.65 miles this week
Step-by-step explanation:
ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.
Group of answer choices
A' (−4, 0); P' (−1, −1)
A' (3, −1); P' (0, 0)
A' (−1, −1); P' (−4, 0)
A' (0, 0); P' (3, −1)
Answers
Write the equation of the line in slope intercept form, with slope of 4 and that passes through
(2,6). *
can you answer 7 too ?
Answers
Answer: Whats your snap i think I'm simping :)
Step-by-step explanation:
Answer:
answers are in the picture
The endpoints of the directed line segment AB are A(-1 2) and B (7 8). Find the coordinates of point P along AB so that the ratio of AP to PB is 1 to 3
Answers
Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
Please help me with this question! :)
Will mark brainliest
Answers
Answer:
10
Step-by-step explanation:
y = 3(5) - 5 multiply 3 and 5
y = 15 - 5 subtract 5 from 15
y = 10 10 is the output
hope this helps!
Armin used 3/4 of a glue stick to decorate 1/4 of his poster. At this rate, how
many glue sticks will he use to decorate one entire poster? *
Answers
Answer:
3 glue sticks
Step-by-step explanation:
3/4 to do 1/4, so 3/4=1/4x
multiply by 4.
3=x
So 3 glue sticks.
Explanation:
3/4 .. and 1/4
So 3/4 x 4 is 12/4 which is 3 whole glue sticks used for the poster .
Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.
Answers
We must determine the y-intercept, b using the slope and point provided.
[tex]-5 = -3(2) + b\\\\-5 = -6 + b\\\\1 = b[/tex]
Now that we know the y-intercept, b, we can create the equation of this line: y = -3x + 1.
Which chose represents a nonlinear function?
A. X= -2, -1, 0, 1, Y= -3, -1, 1, 3
or
B. X= -2, -1, 0, 1, Y= 4, 1, 0, 1
pls help ill mark u barnlist
Answers
round to 2 SF 18.9 pls its urgent
Answers
The bakers at healthy bakery can make 330 bagels in 5 hours. How many bagels can they bake in 13 hours? what was that rate per hour
Answers
1. At the beginning of the year, Maria had $100 in her savings account. She plans to spend $10 a
month on a music app. By the end of January, she will have $90, 580 by the end of February,
$70 by the end of March, and so on. Write an equation that describes the amount in her savings
at any given month. Be sure to describe what your variables represent.
Answers
What is the sum of the exterior angles of a polygon that has 159 sides
Answers
Answer:
k
Step-by-step explanation:
yes u smart
ANYONE! HELP! I KNOW THE ANSWER I JUST NEED TO SHOW THE WORK
Find the missing angle.
The answer is 146
Answers
All the angles in the triangle equals 180
So you have 90+56+x=180
No you will get that x= 34
The angles (?) + x = 180
Because they are on the same line
So you will have 180-34= 146
Which of the following is the best estimate of the square root of 300?
A.
a number between 15 and 16
B.
a number between 17 and 18
C.
a number between 19 and 20
D.
a number between 29 and 30
Answers
Answer:
D
Step-by-step explanation:
Also hello Harrypotter fan!!!
Answer: between 17 and 18
Step-by-step explanation:
Fun fact , we have a pfp from the same scene:D
Is this relation a function? Explain.
Answers
Answer:
No
Step-by-step explanation:
3 and 4 cannot both equal A since 3 doesn't =4
Answer:
yes if the numbers are the x variable, no if the numbers are y variable
Step-by-step explanation:
#1: Find the slope of the line shown below.
Answers
Answer:
-3/4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
-3/4
Step-by-step explanation:
Solve the inequality
Answers
Answer:
16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3
If this is helpful plz mark brainliest
I'm analyzing a song for an assignment and I need a appropriate song to use, something popular. any suggestions? ( comment if full)
Answers
Answer:
id recommend any song by brent faiyaz or lost boy by ruth b because it has a little more meaning orrrr the bigger picture by lil baby (thats a good one :)) orrrr girl of my dreams by rod wave orrrr almost is never enough by ariana grande
Factor each polynomial
4z^2+4z-15
Answers
Answer:
(2z + 5)(2z - 3)
Step-by-step explanation:
4z² + 4z - 15
4z² + 10z - 6z - 15
2z (2z + 5) - 3 (2z + 5)
(2z + 5)(2z - 3)
Answer:
(2z+5) (2z-3)
Step-by-step explanation:
First, multiply the first coefficient by the third.
4*-15=-60
Then find factors of -60 that add up to the middle term.
The factors are: -6 and 10-------> -6*10=-60 and -6+10=4 so -6 and 10 are the correct factors.
Break up the middle term with the factors that you got above. The new equation will be: 4[tex]z^{2}[/tex]-6z+10z-15
Factor by grouping.
First, break the equation into two
(4[tex]z^{2}[/tex]-6z) (10z-15)
Then, factor out the greatest number you can
2z(2z-3) 5(2z-3)
You are then left with a common binomial of 2z-3. COmbine the common binomial into 1 and combine the 2 numbers you factored out in the step above (2z and 5) The final equation will be this:
(2z+5) (2z-3)
H E L P I’M SO CONFUSED !!!
Answers
Answer: 20/3 = 40/6. These two fractions are known as equivalent fractions. Hope this helps ya.
Answer:
40
Step-by-step explanation:
20/3=40/6 the answer for the second fraction is just double the first fraction so your answer is c) 40
NEED HELP ASAP !! PLEASE !!!
Answers
Answer:
The domain for A is 0, 1, 2, 3 and the range is 0, 5, 10, 15
and the domain for B is 2, 2, 4, 4 and the range is 4, 3, 2, 1
Only A is a function because for the same input value in B, there is two different output values which is not possible.
Step-by-step explanation:
I just wanna let you know so you don't waste any more points for us, but the domain is the x-values/ input/ stuff on the left of a given point. The range is the y-values, the output, and the stuff on the right side of a given point. So on (1, 7) for example, the 1 would be the domain number and the 7 would be the range number.
The y-axis values are the output/range and the x-axis values are the input/domain.
Hope this helps bro