Which graph represents the solution set for the system 6x + y > -3 and 2x + y ≤ 4?
A. graph A
B. graph B
C. graph C
D. graph D
Answers
Answer:
Option B. Graph B
Step-by-step explanation:
The given system of the inequalities are 6x + y > -3 and 2x + y ≤ 4
If we take the first inequality which represents the area below the line 6x + y = -3 or y = -6x - 3 (Slope of the line -6 and y-intercept is -3)
Second graph is represented by 2x + y ≤ 4 which represents the area below the line y = 4 - 2x ( slope = -2 and y intercept = 4)
Option B shows the shaded area which the common area representing the solution set of these systems.
Related Questions
Graph the function shown in the picture. I need this submitted quick and I’m so confused. Please help!
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I used a graphing calculator so I hope this helps...
I need work shown please
Q:
x^2+3x-28
________
x^2-7x+12
A:
x+7
___
x-3
I just need work shown
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Jessica rented 1 movie game and 3 Movies for $11.50 the cost of the video game is $4.75 to rent also the movie
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Rick works two jobs to pay for college. he tutors for $20 per hour and also works as a bag boy for $7 per hour. due to his class and study schedule, rick is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours rick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b less than or equal to 25 20t + 7b greater than or equal to 200 t + b greater than or equal to 25 20t + 7b = 200 t + b less than or equal to 25 20t + 7b less than or equal to 200 none of the systems shown represent this scenario.
Answers
he needs at least $200 per week:
20t + 7b > 200 (greater than or equal to)
he can work up to 25 hours per week:
t + b < 25
so this is your system of inequalities. hope this helps!
find the x-intercept and the y-intercept of the graph of the equation 5x - y =35
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I hope this helps love! :)
What is the component form of the vector?
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The component form of a vector represents it as the sum of its scalar components along the coordinate axes. It is used to describe a vector's individual directional effects in a Cartesian coordinate system, often denoted by Axi + Ayj for 2D vectors, and an additional Azk for 3D vectors.
Explanation:The component form of a vector refers to its representation as the sum of its separate parts along the coordinate axes. In a two-dimensional system, a vector can be broken down into the x and y components. Each component is essentially the projection of the vector along one of the coordinate axes. For example, in a rectangular (Cartesian) coordinate system, a two-dimensional vector A with an initial point and a terminal point can be represented by the difference in the x-coordinates (horizontal component) and the difference in the y-coordinates (vertical component).
The formula to represent a two-dimensional vector in component form is A = Axi + Ayj, where Ax and Ay are the scalar components of the vector along the x-axis and y-axis, respectively, and i and j are the unit vectors in the direction of the x-axis and y-axis. In three-dimensional space, an additional z-component is included, resulting in the component form A = Axi + Ayj + Azk, with k being the unit vector along the z-axis.
If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?
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if y = 2x + 7 were changed to y = 1/2 x + 7 , how would the graph of the new function compare with the original ?
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y = 1/2x + 7...the slope is 1/2 and the y int is 7
In comparison, the only difference is the slope. And if the original equation has a slope of 2, and it is changed to a slope of 1/2, then it will have a " less steep " slope. In other words, the slope will not be as steep....but the y intercepts will be the same.
The change from y = 2x + 7 to y = 1/2 x + 7 alters the slope, making the new function's graph less steep. The y-intercept remains at y = 7, ensuring the graphs coincide at this point.
Explanation:The question asks how the graph of the function y = 1/2 x + 7 would compare to the graph of the original function y = 2x + 7. The key difference between these two functions is the slope part, which is the coefficient of x. In the original function, the slope is 2 indicating a rise of 2 on the vertical (y) axis for every increase of 1 on the horizontal (x) axis. But in the new function, the slope is 1/2, indicating a rise of only 1/2 on the y-axis for each increase of 1 on the x-axis. So, the new function's graph would be less steep than the original's. The y-intercept for both functions remains the same, at y = 7. These changes illustrate how the slope and y-intercept of the line equation (y = mx + b) determine the shape and position of the line on the graph.
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7x to the second power - x=6 find the solution set
Answers
7x^2 - x - 6 = 0
(7x + 6 )(x - 1) = 0
7x + 6 = 0; x = -6/7
x - 1 = 0; x = 1
answer
x = -6/7; x = 1
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
Answers
Answer: The first graph is the right graph according to the given situation.
Step-by-step explanation:
Given: Becky created a graph to represent her distance away from home one afternoon.
She left home and ran to the park⇒ She started running from zero distance from the home .⇒the second and fourth graphs are wrong .
After that she met some friends and stayed at the park, then walked back home using the same route.⇒ The first one is correct because there we can see the graph is parallel to time axis for a interval but in the third one it shows that she she hasn't took rest .
If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15
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The direction of fastest increase is along the line \(y = x + 1\).
Given that [tex]\(y\)[/tex] varies directly as the square root of [tex]\(x\)[/tex], we can express this relationship as:
[tex]\[ y = k \sqrt{x} \][/tex]
where [tex]\(k\)[/tex] is the constant of variation.
We are given that when [tex]\(x = 16\), \(y = 12\)[/tex]. Let's find the constant of variation:
[tex]\[ 12 = k \sqrt{16} \][/tex]
[tex]\[ 12 = 4k \][/tex]
[tex]\[ k = 3 \][/tex]
Now we can write the equation of variation:
[tex]\[ y = 3 \sqrt{x} \][/tex]
To find [tex]\(x\)[/tex] when [tex]\(y = 15\)[/tex], we can solve for [tex]\(x\):[/tex]
[tex]\[ 15 = 3 \sqrt{x} \][/tex]
[tex]\[ \sqrt{x} = \frac{15}{3} \][/tex]
[tex]\[ \sqrt{x} = 5 \][/tex]
[tex]\[ x = 5^2 \][/tex]
[tex]\[ x = 25 \][/tex]
Therefore, when [tex]\(y = 15\)[/tex], the corresponding value of [tex]\(x\)[/tex] is 25.
It is 4 kilometers from chris's house to the nearest mailbox. how far is it in meters?
Answers
therefore, 4km=4000m
Which plane figure generates a cylinder when it rotates about the dashed line?
Thank you :)
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The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)
The rectangle will form a cylinder. (See 3rd figure attached)
The triangle will form a cone.
Answer: The third figure.
Answer:
3rd one
Step-by-step explanation:
y and x have a proportional relationship, and y = 7 when x = 2. What is the value of x when y = 21?
Answers
because when y is 7 and x is 2 they multiplied 7×3 and they got y=21 so you have to multiply 2 by 3 and that is 6 hopefully this helps.
Experts/ace plz helppp
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table A from 2-3 minutes it rose 64.9-61.3 = 3.6
from 3-7 it rose 79.3 -64.9 = 14.4 = 3.6 degrees per minute
Table B needs to raise faster than 3.6 per minute
64.4 -61 = 3.4
64.6 - 61 = 3.6
64.3 -60.6 = 3.7
so the 3rd table is correct
By graphing the system of constraints, find the values of x and y that maximize the objective function.
2<_x<_6
1<_y<_5
x+y<_8
Maximum for p=3x+2y
Answers:
A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)
Answers
p(6,1) = 3(6) + 2(1) = 20
p(2,1) = 3(2) + 2(1) = 8
p(2,5) = 3(2) + 2(5) = 16
p(3,5) = 3(3) + 2(5) = 19
p(6,2) = 3(6) + 2(2) = 22
So the maximum value of p is 22 as x = 6 and y = 2.
Answer: (6,2)
Step-by-step explanation:
Which of the following is the solution to 3/5 = 20/(x+3)?
3/91
-91/3
-3/91
91/3
Answers
Answer:
91/3
Step-by-step explanation:
Multiply by 5(x+3) and you get ...
3(x +3) = 100
x +3 = 100/3 . . . . . . . . . . divide by 3
x = 100/3 -3 = 91/3 . . . . subtract 3
What is the height of the wall that is 30 feet long and that required 2310 bricks to build
Answers
2310=210H
11=H
I hope this helps!
Answer:
11=h
Step-by-step explanation:
If all four sides of a quadrilateral measure the same length, and one corner angle measures 90 degrees, Circle that shape the quadrilateral can be classified as.
A. Rhombus
B. Rectangle
C. Square
D. Parallelogram
E. All of these
Answers
BRAINLIESTTTT
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit. (10 points)
Answers
(11 miles/1min) * (60min/hr) = 660 mi/hr
Now, we need to find the total distance flown:
TD= 6 trips*(500 miles/1 trip) = 3,000 mi
Lastly, we find total time using our converted speed and total distance.
speed = (total distance (in miles))/(total time (in hours))
660mi/hr= 3000mi / t
660t=3000
t=3000/660
t= 4.54 hrs
Answer: The plane will fly a total of about 4 and a half hours.
Express in exponential form.
Log2(x)=3
Answers
Log 2 × x=3
Log x=3-2
Log x=1
X=1
1/x = log2/3 (x)
Answer:
[tex]2^{3}=x[/tex]
Step-by-step explanation:
We have to express the log in exponential form
The given expression is [tex]log_{2}(x)=3[/tex]
As we know, if [tex]log_{b}a=c[/tex] then [tex]b^{c}=a[/tex]
So [tex]2^{3}=x[/tex] will be the esponential form of [tex]log_{2}(x)=3[/tex]
WILL MARK THE BRAINLIEST
Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error.
Answers
Answer:
11.4 there now mark that person brainliest
Step-by-step explanation:
Find the quotient.
(6x 2 + 23x + 20) ÷ (5 + 2x)
3x - 4
3x + 4
3x +19
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A leaf hanging motinles on a tree has what kimd of energy
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PLZ HELP!!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!! 15 PTS!!!!!!
What is the value of x?
angle PIR
angle SIM
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so therefor 4x+24=7x+3
minus 4x both sides
24=3x+3
minus 3 both sides
21=3x
divide both sides by 3
7=x
x=7
What is the length of AC
Answers
Answer:
126
Step-by-step explanation:
Answer:
The correct answer is D. 126
Step-by-step explanation:
In order to solve this exercise, we need to know that two straight triangles that are sharing a vertex like in this picture are considered similar triangles. One property of the similar triangles is that exist a linear relationship between its sides. In this exercise, one triangle is ABC and the other CDE.
The relationship that we can write is between the length of its sides.
The relationship is a division between the length of the sides :
[tex]\frac{AC}{AB}=\frac{CE}{DE}[/tex] ⇒
[tex]\frac{140-x}{81}=\frac{x}{9}[/tex]
Solving the equation
[tex]x=\frac{(140-x)}{81}.(9)[/tex]
[tex]x=\frac{(140-x)}{9}[/tex]
[tex]9x=140-x[/tex]
[tex]10x=140[/tex]
[tex]x=14[/tex] ⇒
If the side AC is [tex]140-x[/tex] the length is
[tex]140-14=126[/tex]
The correct option is D. 126
A set of equations is given below:
Equation R: y = 5x + 10
Equation S: y = 5x + 5
Which of the following options is true about the solution to the given set of equations?
A: One solution
B: Two solutions
C: Infinite solutions
D: No solution
Answers
Answer:
There is no solution.
Step-by-step explanation:
expand (2x + 3)^5 can you please show your work because i am still very confused on how to do this.
Answers
You can use the FOIL method which means First, Outer, Inner, Last.
Essentially, you are multiplying (2x+3) by itself, 5 times.
It is a very cumbersome solution, but at the end I have this answer:
32x^5+250x^4+720x^3+1080x^2+810x+243
Hank's pickup can travel 64 miles on 4 gallons of gas. How many gallons will Hank's pickup need to travel 32 miles?
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If y = 5/17 when x = 10, find y when x=5
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To find y when x = 5, you can substitute x = 5 into the given equation. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4) to find y = -182.15.
Explanation:To find y when x = 5, we can substitute x = 5 into the given equation. Given that y = 5/17 when x = 10, we can find the value of y when x = 5. Let's substitute x = 5 into the equation y = -173.5 + 4.83x - 2(16.4):
y = -173.5 + 4.83(5) - 2(16.4)
y = -173.5 + 24.15 - 32.8
y = -182.15
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