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:
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Related Questions
In the diagram below, BD AE, BF bisects ZABD, mC = 88° and
mZBFE = 116°. Find mZE.
Can some help me?
Answers
Answer:
40
Step-by-step explanation:
[tex]180 - 116 = 64[/tex]
[tex]180 - 64 \times 2 = 52[/tex]
[tex]180 - 52 - 88 = 40[/tex]
What is the solution set of –|x| = –8?
{8}
{–8}
{–8, 8}
no solution
Answers
Answer:
its c -8,8
Step-by-step explanation:
You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both
machines. The amount of calories burned on each machine is shown in the picture below. How
much time should you spend on each machine?
Machine a burns 8 calories per minute machine b burns 6 calories per minute.
Answers
a+b = 40
b = 40-a
8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10
30 minutes on machine A and 10 minutes on machine B
2.
Write a function rule for the table.
A. f(x) = x + 2
B. f(x) = x – 2
C. f(x) = –2x
D. f(x) = 2x
Answers
Answer:
D.
Step-by-step explanation:
f(x) increases by 2 as x increases by 1 x value.
We know it isn't A since and x value plue 2 would not equal the y value.
But if you multiply each x-value by 2 you get f(x)
D is the equation for f(x)
Answer number 8 please I’m begging u
Answers
Answer:
Probability - spinner 1
1/5 - not likely
Probability - spinner 2
1/8 - not likely
Step-by-step explanation:
3/9 x 6/3
all of us:
Answers
Answer:
2/3
[tex] \frac{3 \times 6}{9 \times 3} [/tex]
[tex] = \frac{18}{27} [/tex]
[tex] \frac{18 \div 9}{27 \div 9} [/tex]
[tex] = \frac{2}{3} [/tex]
Find the slope of the line that goes through (3,5) and (9,-2).
Answers
Answer:
-7/6
Step-by-step explanation:
the slope is change in y/change in x:
-2-5/9-3 = -7/6
40
9
41
Find the ratio for tan(A)
041/40
09/41
040/9
09/40
41/9
40/41
Answers
mag Aral ka wag ka mag hanap Ng sagot
Describe the graph of the equation y = 0. Is the equation a function?
vertical line; yes
horizontal line; yes
vertical line; no
horizontal line; no
Answers
Explanation: The equation would be considered a function if it was in (y=Mx+b) form. As you showed here we have the (mx) part and not the (b) which would be the slope.
Answer: B. horizontal line; yes
Use the slope-intercept form to find the slope and y-intercept.
Slope:
0
y-intercept:
(0,0)
Yes it is a function. It is a horizontal line.
Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.
Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.
Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b
m = 0 is the slope
b = 4 is the y intercept
Step-by-step explanation: A. vertical line; yes
horizontal line; yes
Yes! Horizontal line represents a function y = f(x)
(1):Firstly, lets understand a function. For a function to be defined, we have a set of independent variables(inputs) (Domain), a set of dependent variables (outputs) (Codomain). And a relation between the variables.
(2): Each input in X must be related to exactly one output in Y. Or else it won't represent a function.. like in the following image.. y is a function of x.Because each element ofX has one& only one image in Y
C. vertical line; no
Which graph represents a proportional relationship (savvas)
Answers
Use properties of operations to complete the equivalent expression. 5(y+9)=___y+___ 5(y+9)=nothingy+nothing
Answers
Answer:
5y+45
Step-by-step explanation:
Match each system of equations to its solution represented by an augmented matrix.
Answers
Answer:
Step-by-step explanation:
2 1/6 x 4 1/2 Solve the problem AND explain your steps
Answers
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps
Write an equation of the line that has a slope of -8 y-intercept of 2
Answers
Answer:
y=-8x+2
Step-by-step explanation:
Please I need helppppppp
Answers
Answer:
Step-by-step explanation:
The conversion factor is 454 grams / pound. That makes the answer D.
All of the answers have the right digits. It's the number of zeros that cause the problem.
Answer:
450 grams is the closest metric weight of 1 pound which in actuality is 453.592 gram.
what is the answer?136,88,or 44?
Answers
Answer:
136
Step-by-step explanation:
what fraction is greater than 1/5 and less than 1/3
Answers
the answer is 1/4
The fraction 1/4 is greater than 1/5 and less than 1/3
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction that can be written as the form of p : q, which is equivalent to p / q.
We need to find the fraction that is greater than 1/5 and less than 1/3
Since we know that 1/5 < 1/4 < 1/3
When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction that proper fraction is also called fraction which is less than 1.
Therefore the answer is; 1/4
Learn more about the fraction visit:
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A number 1 is no less than -3.
Answers
Answer:
no
Step-by-step explanation:
because 1 can equal anything
Answer:
1 equals everything
HELPPPP PLEASE!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Median: 5.5 Mean: 8.5
Step-by-step explanation:
3+8+3+20=34
34/4= 8.5
3, 3, 8, 20 ((3+8)/2)
Answer:
Median: 5.5
Mean: 8.5
Step-by-step explanation:
Median:
3 3 8 20
3 and 8 are the two middle numbers since there can't be one.
3+8=11/2=5.5
Mean:
Add all the numbers together, and then divide by the amount of numbers there are.
3+3+8+20=34/4=8.5
Hope this helps! :) Plz mark as brainliest!!
Find the Nth term of the sequence 5, 9, 13, 17, 21Required to answer. Single choice.
Answers
PLEASE HELP ME!
Solve: system by elimination form
1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------
Answers
-2. -2
1y=23
1y=1y
Y=23
Please help me with this homework
Answers
Answer:
Step-by-step explanation:
No Taxi - 95
No Bus total - 275
Yes Taxi total - 120
Total Total - 400
in this diagram, circle A has radius = 5.6 and DC = 8. BC is tangent line, calculate the distance of BC.
Answers
Answer:
13.6 is the distance of BC
in the triangle sin A =
Answers
Answer:
uhhh i forgot but its one of the bopttom 2
Step-by-step explanation:
Use the drop-down menus to complete each statement.
Table A represents a _______
function.
Table B represents a _______
function.
Table C represents a _______
function.
Answers
Answer:
a:cubic
b:quadratic
c:linear
Step-by-step explanation:
Tables A, B, and C represent cubic, quadratic, and linear functions respectively.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
In the question, 3 functions in tabulated form is given, we draw the function on the graph then we observe that,
Table A, shows the cubic function because the graph with an increase of x increase and decrease multiple times.
Table B, shows the quadratic function, is shows the curve as of the parabola.
Table C, shows the linear relationship, as it forms a line on the graph.
Thus, tables A, B, and C represent cubic, quadratic, and linear functions respectively.
Learn more about function here:
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Please solve this!
20(b) < 80
Answers
Answer:
[tex]b<4[/tex]
Step-by-step explanation:
[tex]20b<80[/tex]
[tex]\frac{20b}{20}<\frac{80}{20}[/tex] (Divide both sides of the inequality by [tex]20[/tex] to get rid of [tex]b[/tex]'s coefficient)
[tex]b<4[/tex] (Simplify)
Hope this helps!
can someone
please help and fast
Answers
Answer:18
Step-by-step explanation:
same as other side 90 degrees
Expand and simplify 7a + 4(a-2b)
Help please :)
Answers
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
How much sand is needed to fill a pit that
is 10m deep and 8m wide and 12m long?
Answers
Answer:
The answer is 960cm3
Step-by-step explanation:
you multiply all the numbers
If a basketball was super inflated and had a rebound ratio of 85%, write an equation to determine what the height of the basketball would be after 6 bounces if it was dropped from a height of 10 ft.
Answers
Answer:
3.77ft
Step-by-step explanation:
According the question
The height of the basketball dropped from a height of 10ft after 6 bound having a rebound ratio of 85%
= 10(17/20)^6 = 3.77 feet
