Is the coordinate pair (3, 3) a solution to the inequality y > 2x - 3?

Is The Coordinate Pair (3, 3) A Solution To The Inequality Y > 2x - 3?

Answers

Answer 1

Given:

The inequality is:

[tex]y>2x-3[/tex]

The point is (3,3).

To find:

Whether the coordinate pair (3, 3) is a solution to the given inequality or not.

Solution:

We have,

[tex]y>2x-3[/tex]

Check the inequality for the point (3,3). Substituting [tex]x=3,y=3[/tex], we get

[tex]3>2(3)-3[/tex]

[tex]3>6-3[/tex]

[tex]3>3[/tex]

This is a false statement because 3 is not greater than itself.

Since (3,3) does not satisfy the given inequality, therefore (3,3) is not a solution to the given inequality.

Now we can check the solution graphically. From the graph it is clear that the point (3,3) lies on the boundary line.

The boundary line is a dotted line, it means the point on the boundary line are not included in the solution set.

Therefore, (3,3) is not a solution to the given inequality.


Related Questions

Order the numbers by value.
LEAST to GREATEST

10
√99
√75
9
9.5​

Answers

Answer:

√75, 9, 9.5, √99, 10

Step-by-step explanation:

that's what I got

The are of a rectangular trampoline is 112ft. The length of the trampoline is 6ft greater than the width of the trampoline. This situation can be represented by the equation x^2+6x-112=0 what is the width of the trampoline in feet

Answers

Answer:

8cm

Step-by-step explanation:

let x = width

x^2+6x-112=0

we would solve this using the factorization method

the factors of -112x^2 that would add up to 6x are 14x  8x

x^2 - 8x + 14x - 112 = 0

factorise

x(x - 8) + 14(x - 8) = 0

x+ 14 = 0

x - 8 = 0

x = 8

the width is 8cm

x = -14

10/b10=6/b-2 solve for b pls

Answers

the answer is b= -2/5

Which inequality is true?

3/4 > 12/16

5.6 ≥ 6/5

-2/3 < -7

5 < 6/7

Answers

I would say it’s B not sure tho!!

Answer:b

Step-by-step explanation:

plzzzzz help now plzz​

Answers

100xy have a good day!
100xy your welcome have a great day

What is the answer to this AND WHY!

(−1+√5)/2

Answers

Answer:

Square root: sqrt(5) = √ 5 = 2.23606798

Add: -1 + the result of step No. 1 = -1 + 2.23606798 = 1.23606798

Divide: the result of step No. 2 / 2 = 1.23606798 / 2 = 0.61803399nation:


A set of nine data points is shown below.
8, 11, 12, 10, 9, 7, 5, 3, 9
Which statement is true if a tenth data point of 45 is added to the data set?
А
The mean and median will both increase.
B
The mean will increase and the median will decrease.
с
The mean will increase and the median will remain the same.
D
The mean and median will both decrease.
SED

Answers

Answer:

C.

Step-by-step explanation:

Reorder the data set, from least to greatest.

3, 5, 7, 8, 9, 9, 10, 11, 12

Mean: 8.2 -> you get this by adding up all the numbers in the data set by how many numbers in the data set. For example, 3+5+7+8+9+9+10+11+12= 74 divide by 9 (the numbers in the data set) = 8.2 (repeated infinitely).

Median: 9 -> you get this by finding the number in the middle of the data set, which is why you have to reorder the data set for the beginning to make this easier.

Mean (with 45): 11.9 -> 119 when you add up all the numbers, then divide by 10 because that's have many numbers in the new data set.

Median (with 45): 9 -> When there are two numbers in the middle of the data set, add them up and divide by two. For example, 9+9=18/2= 9

Answer: C.

irjiogergtjroigjeriogjergoiejoi

Answers

Answer:

dsefggrgrgrgersd

Please answer fast.

Answers

The answer is D.230

Find the area of the following figure.

252 [tex]cm^{2}[/tex]

400 [tex]cm^{2}[/tex]

312 [tex]cm^{2}[/tex]

300 [tex]cm^{2}[/tex]

Answers

Answer:

312 cm²

Step-by-step explanation:

The figure is composed of a rectangle and 2 congruent triangles

area of rectangle = 16 × 12 = 192 cm²

area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 12 × 10 = 12 × 10 = 120 cm²

Area of figure = 192 + 120 = 312 cm²

Find the profit or loss if:
Cost price = $250 Selling price = $325
also state wether it’s a profit or loss

Answers

Answer:

moncy soup ñomi

Step-by-step explanation:

63=a-=

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?​

Answers

If I were Karen I’d just take em all and run

answer quick please look at attachment.

Answers

Answer:

c) KJ and JH

Step-by-step explanation:

Answer:

lowkey gonna say B

Step-by-step explanation:

shshevr fcfvdbd

Find the value of n that satisfies 2(n+1)! + 6n! = 3(n+1), where $n! = n\cdot (n-1)\cdot (n-2) \cdots 2\cdot 1$.

Answers

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]2(n+1)! + 6n! = 3(n+1)![/tex]

Required

Find n

Simplify (n + 1)!

[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]

Factorize

[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]

Divide both sides by n!

[tex]2(n+1) + 6 = 3(n+1)[/tex]

Open brackets

[tex]2n + 2 + 6 = 3n + 3[/tex]

[tex]2n + 8 = 3n + 3[/tex]

Collect like terms

[tex]2n - 3n = 3 -8[/tex]

[tex]-n =-5[/tex]

Multiply both sides by -1

[tex]n = 5[/tex]

14. Find mMK please :)

Answers

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°

ILL BRAINLIEST YOU IF YOU GET IT RIGHT
WHICH DIAGRAM SHOWS A PAIR OF ANGLE MEASURE THAT PROVIDES LINES c and d are parallel?

Answers

Answer:

It's C.

Explanation:

I took a test on this

Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?

Answers

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

CAN SOMEONE HELP ME PLS ASAP

Answers

Answer:

B


Explanation:

10x1=10

(not sure haven’t done this in a very long time)

find the missing number so that the equation has no solutions
__x+6 = 2(-3x + 1) + x - 16

Answers

Answer:

-5

Step-by-step explanation:

-5x+6 = 2(-3x + 1) + x - 16

-5x+6 = -6x + 2 + x - 16

-5x+6 = -5x -14

+6≠-14⇒x∈Ф

An 80–calorie apple is 4% of jeremy’s daily caloric intake. What is Jeremy’s daily caloric intake?

Answers

Answer:

3.2 calories

Step-by-step explanation:

4% is .04

so

80 x .04 = 3.20

7.5% of what number is equal to 85% of 200?
Help

Answers

2266 and 2/3s. 85% of 200 is 170. 170/7.5 = 22.66666 x100 = 2266.66

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

Answers

The rate of growth is the first derivative.

f(x) = x2

f'(x) = 2x

g(x) = 1000x2

g'(x) = 2000x

f'(x) ≠ g'(x)

f(x) and g(x) DO NOT grow at the same rate.

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

Calculate each value for ⊙P. Use 3.14 for and round to the nearest tenth.

Answers

Don’t answer or open the fake link! It’s a scammer.

Which of the following is an arithmetic sequence?
A. 0, 3, 8, 15, 24, 35, ..
B. 9, 4, -1, -6, -11, -16, ...
C. 1, 3, 6, 10, 15, 21, ..
.
D. -1, 0, 1, 0.3, 0, ...

Answers

Answer:

B is an arithmetic sequence because the number that you add or subtract between each number has to match

Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E

Answers

Answer: I think it is going to be 42.5

Step-by-step explanation: I think that because is you divide the 29 by 7.5 you get 3.86. Multiply the 11 by 3.86 and you get 42.46. If you round to the nearest tenth that would be 42.5

Find the diameter of a cylinder with a volume of approximately 235.5 inches cubed and a height of 3 in.​

Answers

the answer is 9.997 inches
Answer: d = 10

Explanation:

V = pi x d^2/4 x h
235.5 = 3.14 x d^2/4 x 3
235.5 = 9.42 x d^2/4
235.5/9.42 = d^2/4
25 = d^2/4
25 x 4 = d^2
100 = d^2
10 = d

what is the a, b, and c of the following quadratic y = - 4x ^ 2 + 5x - 3

Answers

Answer:

A = -4

B = 5

C = -3

Step-by-step explanation:

Standard form of a quadratic equation is y = Ax² + Bx + C

In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.

Since -4 is the coefficient to x², A is -4.

Since 5 is the coefficient to x, B is 5.

Lastly, since -3 is the last term, C is -3.

So, the answer is:

A = -4

B = 5

C = -3

PEOPLE YOU ARE SMARTER THAN ME HELP

Answers

Answer:

1/2

Step-by-step explanation:

Answer: 1/2

length of A is 6 units

length of B is 3 units

dilated / original

3/6 simplified is 1/2

Simplify, dont have to show work
3c-10c

Answers

Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7

(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)

Answer:

-7c

Step-by-step explanation:

your welcomeeeeeeeeee

Name the two values the square root is in between.
50
a 2 and 3
b 5 and 6
C 7 and 8
d 10 and 11

Answers

The answer would be c
C is the correct answer.
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