Mathematics High School

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

Answer 1

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.

Graph The System Of Inequalities. Then Use Your Graph To Identify The Point That Represents A Solution

Related Questions

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:

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 :)

Transitive property

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.

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

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

For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.

Answers

y= 2x^2 - 5x + 18 ? i don’t really know quadratic formula yet. but the answer might be that equation & x = 18

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)

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 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

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)

Pls solve I will mark brainliest

Answers

Answer:

292.5

Step-by-step explanation:

1/2*13(20cm+25cm)

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:

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

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

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

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

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

Anyway the answer is 400

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.

Please help me for my cousin

Answers

all you have to do is plot the points to the corresponding numbers. for example, for the scorpions the number 55 is repeated three times so in the number line for the scorpions you’ll put 3 dots above the number 55

Someone help me! I have a pic down below.

Answers

that last one doesnt equal to the expression
the 3rd one, 3^-3/3^4

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!!

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

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

please help, I got 8 of these wrong already :(

Answers

Answer:

●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}

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

Find the volume of the cylinder when its height is 13 ft, and its radius is 12
ft. Round to the nearest tenth."

Answers

I think it’s 5878.08


V = pi * r^2 * h
= 3.14 * 12^2 * 13
= 3.14* 144 * 13
= 5878.08

the price of an errand as increased from $30 to $35 what is the percantage increased​

Answers

Answer:

5%

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]

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

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]

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