Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
x > 3 y < 2x - 5 answers: (-3, -1) (1, 11) (4, -1) (5, 6)
Answers
Given:
The system of inequalities:
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
To find:
The point that represents a solution to the system by using the graph.
Solution:
We have,
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
The related equations of these inequalities are:
[tex]x=3[/tex]
[tex]y=2x-5[/tex]
The line [tex]x=3[/tex] is a vertical line that intersect the x-axis at 3.
The table of values for [tex]y=2x-5[/tex] is:
x y
0 -5
1 -3
Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.
The boundary lines are dotted lines because the points on the lines are not included in the solution set.
Check the inequalities for (0,0).
First inequality: [tex]0>3[/tex] ( False)
Second inequality: [tex]0<2(0)-5[/tex]
[tex]0<-5[/tex] (False)
Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).
Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.
From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.
Therefore, the correct option is C.
Related Questions
Please help with this, will give brainliest.
Answers
Answer:
A) 4 cats
Step-by-step explanation:
let x = 16-y
substitute to get:
18(16-y) + 30y = 432
288 - 18y + 30y = 432
12y = 144
y = 12
x = 4
make m the subject in the relation
[tex]2m - x + 3y \h = 2y \p[/tex]
Answers
Answer:
[tex]m = \frac{-y+x}{2}[/tex]
Step-by-step explanation:
[tex]2m - x + 3y = 2y[/tex]
Take [tex]-x[/tex] and [tex]+3y[/tex] on the other side of the equal to sign:
[tex]2m = 2y +x-3y[/tex]
Now solve for y:
[tex]2m = -y +x[/tex]
Take 2 one the other side of the equation:
[tex]m = \frac{-y +x}{2}[/tex]
Hope this helps :)
A flight has 175 passengers. 3 of them will be chosen to get an upgrade to first class. How many groups of 3 are possible?
Answers
Answer:
877975
Step-by-step explanation:
Given that :
Total number of passengers, n = 175
Number who gets an upgrade, x = 3
Number of different groups who could get an upgrade :
We solve this using combination :
nCr = n! ÷ (n-r)!r!
175C3 = 175! ÷ (175 - 3)!3!
175C3 =175! ÷ (172)!3!
175C3 = 877975
Which expression is equivalent to (3x + 4)(2x - 3)?
Answers
Answer:
Step-by-step explanation:
If there are choices, you should list them. It's a guess about which is correct. I'll list 2 of them.
(3x + 4)(2x - 3) can be
(2x - 3)(3x + 4) or
F: 3x*2x = 6x^2
O:3x * -3 = - 9x
I : 4 * 2x = 8x
L: 4 * - 3 = - 12
When added, you get
6x^2 -9x + 8x - 12
6x^2 - x - 12
Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)
Answers
Answer:
Spent less than budget by $10
Step-by-step explanation:
→ Work out total budget
100 + 150 + 50 = 300
→ Work out total expenditure
95 + 175 + 20 = 290
Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?
Answers
Answer: 35 cupcakes!
Step-by-step explanation:
Please help
1< |x– 2| < 5
Answers
Answer:
[tex]1 < |x -2|< 5\\1< |x-2| = |x-2| > 1\\-1 >x-2 \ , \ x-2<1\\1>x \ , \ x >3\\\\|x-2|<5 = -5 < x-2<5 = -3 <X<7\\\\Therefore , by \ merging \ overlapping \ intervals \\\\-3<x<1\quad \mathrm{or}\quad \:3<x<7[/tex]
Anybody else panicking while trying to finish their classes?
(please say it's not just me)
Answers
Answer:
no it's me too haha
Step-by-step explanation:
yes currently i am taking my pre calc final and am definitely failing it
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!
Answers
Answer:
PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED
Step-by-step explanation:
Please help?!?!
Thanjss
Answers
Answer:
Step-by-step explanation:
y= mx+ b helps you find the equations of the lines
y= x+2 is the line with slope m=1, and y-intercept b=2
y= -4x-3 is the line with slope m=-4, and y-intercept b=-3
y > x+2 because is a dotted line
y ≤ -4x-3 because is a solid line
Answer:
aha i see yo bbg
Step-by-step explanation:
(lipbite)
help mee please its math
Answers
Answer:
m<D = 34
Step-by-step explanation:
Exterior angles thm:
3x - 2 + 68 = 9x - 6
3x + 66 = 9x - 6
3x - 9x = -6 - 66
-6x = -72
x = 12
<D:
3x - 2
3(12) - 2
36 - 2
34
10 points !
what is 20% of 30 ?
Answers
Answer:
6
Step-by-step explanation:
Of means multiply
20% * 30
Change to decimal form
.20 * 30
6
Answer:
6
Step-by-step explanation:
[tex]20\% \ of \ 30 = \frac{20}{100} \times 30 = \frac{1}{5} \times 30 = 6[/tex]
the price of an errand as increased from $30 to $35 what is the percantage increased
Answers
Answer:
5%
Step-by-step explanation:
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
Answers
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
Why are the events not independent?
The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)
Answers
Answer:
the correct answer is the product of PA) and P(B) is not equal to P(A and B)
The image below shows F with perpendicular tangent lines at points A and B.
Will be reported if you add something that does not match the question
Answers
Answer:
∠AFB= 90°∠ADB= 360-90
270Shape AFBC →is a Square because every angle is 90 degrees.--------------------------
hope it helps...
have a great day!!
Helppp easy math please !!!!
Answers
Answer:
x=5 x=1
Step-by-step explanation:
To find the x intercepts, set y=0
(x-5) (x-1) =0
Using the zero product property
x-5 =0 x-1 =0
x=5 x=1
determine the value of x.. i will give brainliest
Answers
Answer:
Step-by-step explanation:
8x-1+6x+13=180 degree(being co interior angle)
14x=180-12
x=168/14
x=12
Find the area of a circle with the radius of 73 feet
Answers
Answer:
Step-by-step explanation:
area of a circle=πr^2
=3.14*(73)^2
=3.14*5329
=16733.06 ft^2
Answer:
A = 5329 pi ft^2
If we approximate pi with 3.14
A = 3.14*5329=16733.06 ft^2
If we use the pi button
A =16741.54725 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 73
A = pi ( 73) ^2
A = 5329 pi ft^2
If we approximate pi with 3.14
A = 3.14*5329=16733.06 ft^2
If we use the pi button
A =16741.54725 ft^2
Pls solve I will mark brainliest
Answers
Answer:
292.5
Step-by-step explanation:
1/2*13(20cm+25cm)
Someone help me! I have a pic down below.
Answers
please help, I got 8 of these wrong already :(
Answers
Answer:
●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
Answers
This is the transitive property :)
A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents
that bivariate data?
tu
400
16
16
12
300
12
300
$ 200
8
100
4
4 8 12 16
Price (8)
4 8 12 16
Books
100 200 300 400
Pages
4 8 12 16
Books
Answers
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answers
Answer:
you have to tell us the question honey
f
is inversely proportional to
√
g
.
When
f
=
12
,
g
=
36
Work out
g
when
f
=
8
Answers
Answer:
g = 81.
Step-by-step explanation:
f = k/√g where k is a constant
When f = 12 g = 36, so:
12 = k/√36 = k/6
k = 12*6 = 72.
So the relation is:
f = 72/√g
When f = 8:
8 = 72/√g
8√g = 72
√g = 72/8 = 9
g = 9^2 = 81.
reduce 9/45 to simplest terms in fractions
Answers
Answer:
1/5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
1/5.
Step-by-step explanation:
Divide top and bottom of the fraction by 9.
Please help me for my cousin
Answers
A rectangular tank measures 13 cm by 8 cm by 10 cm. How many milliliters of water are in the tank when it is full? How many liters?
Answers
Answer:
10400MM
1.04 litre
Step-by-step explanation:
volume = length x width x height
13 x 8 x 10 = 1040 cm^3
1cm = 10 mm
1040 x 10 = 10400MM
1cm = 0.001 litres
1040 x 0.001 = 1.04 l
Find the volume of the cylinder when its height is 13 ft, and its radius is 12
ft. Round to the nearest tenth."
Answers
V = pi * r^2 * h
= 3.14 * 12^2 * 13
= 3.14* 144 * 13
= 5878.08