Choose the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Answers
We want to find the graph of a system of inequalities. We want to select the correct option, but sadly is really hard to interpret the given text, so I will add a graph of the system at the end.
The system is:
y ≤ -3x + 1y ≤ (1/2)*x+ 3To graph these we first need to graph the two lines:
y =-3x + 1
Is a line with a negative slope that passes through the y-axis at y = 1.
Because here we have y ≤ -3x + 1 we know that y must be equal or smaller than the line, thus we need to shade below the line, and because y can be equal to any value in the line we need to use a solid line.
For the other equation:
y = (1/2)*x+ 3
We have a positive slope and this line intercepts the y-axis at y = 3.
Similar as before, here we have y ≤ (1/2)*x+ 3 so the shaded area will be below the line and the line must be solid.
With this in mind, we can graph the system, and you can see it below:
If you want to learn more, you can read:
https://brainly.com/question/19526736
Related Questions
Which expression is equivalent to -6(3x-2/3)
-2x+9
-3x-6(2/3)
-18x+12
-18x+4
Answers
Answer:
option d is correct answer
Step-by-step explanation:
-18x+12
* A Frog sits on a number line at point −10. It is allowed to make up to 4 jumps. First, it can make a jump of 8 units in either direction, or it can skip this jump. Then, it can make a jump 4 units long or skip this jump. Then, it can make a jump 2 units long, or skip this jump. And, finally, it can make a one-unit jump or skip it. Where can it be at the end? Answer: The possible numbers where frog could be are from
Answers
Answer and explanation:
Assuming the frog jumps from -10 for all jumps, if the frog decides to make all 4 jumps then :
8 units jump= -2 or -18
4 units jump= -6 or -14
2 units jump= -8 or -12
1 unit jump = -9 or -11
If the frog decides to make one jump then skip the others then:
Either it makes 8 units jump= -2 or -18
Or 4 units jump= -6 or -14
Or 2 units jump= -8 or -12
Or 1 unit jump = -9 or -11
If it decides to make 2 jumps and skip the others then:
Either it makes 8 units jump= -2 or -18
and 4 units jump= -6 or -14
Or 2 units jump= -8 or -12
and 1 unit jump = -9 or -11
Or any other mix of units of jump twice
If it decides to make 3 jumps and skip the others then:
Either it makes 8 units jump= -2 or -18
and 4 units jump= -6 or -14
and 2 units jump= -8 or -12
Or 1 unit jump = -9 or -11
and 4 units jump= -6 or -14
and 2 units jump= -8 or -12
Or any other mix of 3 jumps
If it decides to make no jump at all then the frog would remain at -10
Luis is hiking at a park. He sees the sign shown and decides to hike there.
Wandering Twin Lake
4.9 mi
Luis knows that he can hike at an average rate of mile in 6 minutes.
Part A
How many hours will it take Luis to reach Wandering Twin Lake?
Enter the correct answer in the box.
Answers
Answer: 0.49 hours
Step-by-step explanation:
Luke takes 6 minutes to hike an average of 1 mile.
He decides to camp ay a point that is 4.9 miles away.
The amount of time it will take him to get to the place is:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
Answer:0.49 hours
Step-by-step explanation:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
WILL MARK YALL BRAINLIST
Answers
Answer:
114
Step-by-step explanation:
We know that [tex]f(x) = 4x^2-7x+12[/tex] and that [tex]f(x) = f(6)[/tex]. Therefore, you substitute x as 6 in the given expression.
Calculations:
[tex]f(x) = 4x^2-7x+12[/tex]
[tex]f(6)=4(6)^2-7(6)+12[/tex]
[tex]4(36)-42+12=114[/tex]
Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.
Answers
Answer:
y = 2/3
Step-by-step explanation:
14 = 6(2) + 3y
14 = 12 + 3y
2 = 3y
y = 2/3
DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?
Answers
Answer:
[tex]G' = (4,6)[/tex]
Step-by-step explanation:
Given
[tex]D = (2, 5)[/tex]
[tex]E = (3, 1)[/tex]
[tex]F = (4, 6)[/tex]
[tex]G = (6, 6)[/tex]
Translation: 2 units left
Required
Determine the coordinates of G'
When a point (x,y) is translated by b units to the left, the new coordinates is (x-b,y)
So, if
[tex]G = (6, 6)[/tex]
G' would be:
[tex]G' = (6-b,6)[/tex]
In this case:
[tex]b = 2[/tex]
So, we have:
[tex]G' = (6-2,6)[/tex]
[tex]G' = (4,6)[/tex]
a number p divided by 7 is less than -3
Answers
,,,,,,,,,,,,,,,
The inequality expression is p ÷ 7 < -3.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number = p
Now,
A number p divided by 7 is less than -3
This can be written as,
p ÷ 7 < -3
p/7 < 3
p < (7 x 3)
p < 21
Thus,
The number p is less than 21.
Learn more about inequalities here:
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A store has a 30% off sale on pants. With this discount, the price of one pair of pants before tax is $10.20. What was the original price of the pants? *
Answers
14.57 i just took the quiz
PLEASE HELP I WILL GIVE BRAINALIST TO THE FIRST PERSON!!!!!!
Answers
Answer:
1.) 1 2.) [tex]\frac{1}{4^{2} }[/tex] 3.)[tex]\frac{7b^{3}}{a^{5}}[/tex] 4.)[tex]\frac{9a^{7}}{b^{6}}[/tex] 5.)[tex]\frac{1}{5^{2}}[/tex] 6.) [tex]\frac{8x^{3}}{27}[/tex]
Step-by-step explanation:
A person in an apartment
building sights the top and bottom of an office
building 500 ft. away. The angle of elevation
for the top of the office building is 23° and the
angle of depression for the base of the building
is 50º. How tall is the office building?
Answers
Albina buys a frying pan that costs 33 dollars and a wooden spoon that costs 2 dollars. If sales tax is 10%, what is the total purchase price including tax?
Answers
33+2 = 35
35*10%= 3.50
35+3.50= 38.50
HELP I WILL GIVE BRAINLIEST I PROMISE
There are 8 students on the school chess team. They need to raise at least $760 for a field trip. Their advisor says they still need to raise 85% of the funds, and she wants each of them to raise an equal share of the money still needed. Diego wrote and solved the inequality 8m + 0.85(760) ≥ 760 to find the least amount of money, m, each student on the chess team needs to raise. He says the solution is m ≥ $14.25. Diego is incorrect. What should be the correct solution? *
10 points
m ≤ $14.25
m ≥ $80.75
m ≤ $80.75
Answers
Answer:
m ≤ $14.25
Step-by-step explanation:
Answer:
m ≤ $80.75
Step-by-step explanation:
hope it helps
Write the approximate value of 0.12456
upto 3 significant figures.
Answers
Step-by-step explanation:
be62vw6vwebe6e6be6ev6eb6eb6eb7eb7eebe73
The values in the x column represent a specific number pattern, while the values in the y column represent a different pattern. Which graph provides a visualization of these two patterns?
Answers
Answer:
please give me more context so I can help you more
what is the intermediate step in the form
[tex](x + a) ^{2} = b[/tex]
as a result of completing the square for the following equation
Answers
x²+4x = 12
x²+4x+2² = 12+2²
(x+2)² = 16
x+2 = ±4
x = -2 ±4 = 2,-6
No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.
Answers
Answer:
0≤x≤15
Step-by-step explanation:
A. bread recipe calls for 5 cups of flour and 2 teaspoons of yeast.
a. how much flour and how much yeast do you need for two batches of bread draw a picture that shows the batches as well as the total amount of flour and total amount of yeast needed.
Answers
Answer:
5 pints of flour and 4 teaspoons of yeast.
Step-by-step explanation:
5*2=10
2*2=4
5*2=10
2*2=4Answer:
Step-by-step explanation:
A line passes through the points (-4,3) and (0,0) what is the slope of the line?
Answers
Answer:
Slope: -3/4
Step-by-step explanation:
Use the formula:
[tex]\frac{y^{2} -y}{x^{2} -x}[/tex]Substitute the points (-4, 3) and (0,0) into the equation:
[tex]\frac{0- 3}{0-(-4)}[/tex]Solve.
[tex]\frac{-3}{4}[/tex]
Lin’s family’s longevity noodles are about 15 cm long and Chen’s family’s longevity noodle are 8 cm longer than Lin’s family’s noodle. Write an equation that can be used to find the length of Chen’s family longevity noodle. Solve the equation.
Answers
Answer: 23 cm(Hope it's Right!)
Step-by-step explanation:
Write Lin as L and Chen as C
So put 25cm+8cm
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answers
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
Choose the correct answer
When solving a quadratic equation using the quadratic formula, the value of the discriminant is -16. How
many and what type of solutions does the quadratic equation have?
on
O 1 Rational Solution
ne
2 Irrational Solutions
O 2 Imaginary Solutions
O 2 Rational Solutions
• Previous
Next
Answers
Answer:
Step-by-step explanation:
Rational solution
whether the following relation represents a function. Use pencil and paper.
Explain your reasoning.
{(-4,4), (-2,2), (-1,1), (-7,7), (-8,6), (-3,5)}
Does the relation represent a function?
Ο Νο
o Yes
Answers
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?
Answers
Answer:
C
Step-by-step explanation:
x^2/12.25 + y^2/4 = 1
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be [tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: [tex](h \pm c, k)[/tex] where [tex]c^2 = a^2 - b^2[/tex]
If its major axis is parallel to y-axis, then,
Coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex]and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.
The carpenter sketches a drawing of the tabletop on a coordinate plane.
The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.
then, the equation of that ellipse would be:
[tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
Learn more about ellipse here:
https://brainly.com/question/19881832
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19,2,14,8,11,10,4,15 find the mean
Answers
Answer: 10.375
Step-by-step explanation:
mean = average
Finding the average, means you need to add all the numbers up, and then divide it by the total amount.
-------------------------------------------------------------------------------
First Step: add them up
19+2+14+8+11+10+4+15=83
Second Step: count the amount of numbers
8 numbers in total
Third Step: divide the total amount over numbers
83/8=10.375
Hope this helps!! :)
Please let me know if you have any questions
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{When you hear the word \underline{MEAN} think of the question asking for the}\\\large\text{\underline{AVERAGE}. When we find the mean/average we have to ADD}\\\large\text{all of your TERMS, then DIVIDE the total numbers you have!}[/tex]
[tex]\bold{Set: 19,2,14,8,11,10,4,15}\\\bold{Add: 19 + 2+14+8+11+10+4+15}\\\bold{Divide: 8\ because\ thats\ the\ total\ number\ we\ have\ in\ your\ given\ set}[/tex]
[tex]\bold{Equation: \dfrac{19 + 2+14+8+11+10+4+15}{8}}\\\\\bold{Numerator\rightarrow19+ 2+14+8+11+10+4+15}\\\bold{19+2=21}\\\bold{21+14+8+11+10+4+15}\\\bold{21+14=35}\\\bold{35+8+11+10+4+15}\\\bold{35+8=43}\\\bold{43+11+10+4+15}\\\bold{43+11=54}\\\bold{54+10+4+15}\\\bold{54+10=64}\\\bold{64+4+15}\\\bold{64+4=68}\\\bold{68+15}\\\bold{=83}[/tex]
[tex]\bold{Equation: \dfrac{83}{8}}\\\\\large\text{SOLVE above and you will have your answer!}\\\bold{\dfrac{83}{8}=10.375}\\\boxed{\boxed{\large\text{Answer: your MEAN is \bf{10.375}}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amohitrite1040:)}[/tex]
Can someone help me solve this matrix
Answers
Step-by-step explanation:
4*-2 + 3*-3 = -8 - 9= -17
4*1 +3*-2= 4-6= -2
-2*-2 + 3*-3= 4-9= -5
-2*1 + 3*-2= -2 -6 = -8
-4*-2+6*-3=8-18= -10
-4*1+6*-2=-4-12= -16
the result matrix is
-17 -2
-5 -8
-10 -16
Hello, if you know the answer, please explain how you got the answer to this
Answers
Answer:
b
Step-by-step explanation:
because the bottom part of the triangle shrunk by 4
Simplify:
-1/2( 4/5 + 8y)
Answers
Answer:
-2/5-4y
Step-by-step explanation:
multiply each side by -1/2
Simplify (8x - 2) (x -3)
Answers
Answe
8x^2-26x+6
Step-by-step explanation:
A bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?
Answers
Answer:
8 1/8 gallons
Step-by-step explanation:
2 1/2 = 5/2
3 1/4 = 13/4
(5/2)(13/4) = 65/8 = 8 1/8 gallons
Using the slope formula, find the slope of the line through the points (0,0) and (4,16)