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

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.

Answers

110 minus 52 is 58 so the answer would be 58 more pitches

plsss help lollll :)))

Answers

Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

Find the surface area of the square pyramid, Show your work please : )

Answers

Answer:

105in²

Step-by-step explanation:

Surface area is the total area of the faces.

The faces of pyramid consist of triangles and a square

The area of a square can easily be calculated by squaring the side length

the square of this pyramid has a side length of 5

so

area of square = 5²

5² = 25

the area of the square is 25in²

Now to find the area of the triangles

All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)

the area of a triangle can be calculated using this formula :

[tex]A=\frac{bh}{2}[/tex]  where b = base and h = height

The triangles have a base length of 5 in and a height of 8 in

so

[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]

So the area of one triangle is 20 in²

Now we multiply 20 by 4 to find the area of all 4 triangles

20 * 4 = 80

So the total area of the triangles is 80in²

Finally we add the two areas together

Surface area = 80 + 25

80 + 25 = 105

Hence, the surface area is 105in²

Answer:

105 in.

Step-by-step explanation:

To find the area of a square pyramid, use this formula

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.

The base is a square.

To find the area of a square, simply multiply the side length by itself twice (x^2).

5 x 5 = 25.

25 is the area of the base.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2p ⋅ height.

To find the perimeter of a square, add every side length; the sum is the perimeter.

5 + 5 + 5 + 5 = 20.

20 is the perimeter of the square.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/220 ⋅ height

The height is the number along the little lines.

8 is the height.

Now that we have all parts of the formula, we have our final equation.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ 8 = 105.

105 in. is the surface area of the square pyramid.

After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.



Using the box plot, determine the best measures of the data.

The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.

The number that best summarizes the data is (blank)
years of service.

The number that best describes how the data varies is (blank)
years of service.

Answers

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

helppppppppppp me plz ;)

Answers

Answer:

1/4 x 20

Step-by-step explanation:

Half of 12 is 6, a third of 18 is 6, a sixth of 36 is 6, but a fourth of 20 is only 5. So it does not belong.

Please help me solve these questions!!!

Answers

Don’t click that link it’s a scam

Exchange the digits in lakhs and tens places of the number 6,10,932 and find the sum of the new number and the original number.

Answers

Answer: [tex]9,21,894[/tex]

Step-by-step explanation:

Given

The given number is 6,10,932

Value at lakhs place is 6

value at tens place is 3

Exchange them to get a new number i.e. 3,10,962

Now, the sum of the original and new number is

[tex]6,10,932+3,10,962=9,21,894[/tex]

SOMEONE PLS HELP ME , WILL MARK BRAINLIEST

Answers

Answer: 83.9 ft

Step-by-step explanation:

Tan40^degrees/1=x/100

x=100tan40^degrees

x=83.9 ft

Answer:

84 units

Step-by-step explanation:

Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done

Answers

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

Deborah had 3 1/4 yards of ribbon she used 3/8 of a yard for a project how much ribbon does she have left

Answers

She would have 2.875 yards left
Deborah has 2 7/8 yards of ribbon left

Help!!!!!!! I will give the brainiest if right!

Answers

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

3/3 x 1/3 will have a poduct less than 1/3/

Answers

Answer:

False

Step-by-step explanation:

3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.

NO LINKS!! But someone pls help me I barely have points to keep reposting plsss The center of gravity of a triangular solid with uniform thickness and density
is at the intersection of the
of the triangle

Answers

Answer: Centroid

Step-by-step explanation: The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.

“Type your answer in the box below without units” HELPPPPP

Answers

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

50 PTS!!!!Which statements must be true to model a data set using a normal distribution?

The population mean must be greater than the sample mean.
The sample size, n, must be at least 30.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample mean must equal the population mean.
-There are multiple answers

Answers

Answer:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Step-by-step explanation:

Extra Answered question:

How do you determine if a distribution is normal?

Answer: In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean. It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

I hope this is what your looking for :)

Answer:

I don't the right answers but I know these answers are incorrect:

The sample mean must  equal the population mean.

The standard deviation of the population must be less than 30.

Step-by-step explanation:

please answer!!!! :D

Answers

It’s the second one but if I’m not right I’m sorry

Points (-3, 3) and (2, -9) are located on the coordinate plane. What is the distance between these two points?

Answers

Answer:

13

Step-by-step explanation:

pythagorean theorem, draw a vertical and horizontal line 5^2+12^2= 13^3

What is the slope of the line that contains the points (6,-1) and (2,4)

Answers

Answer:

-1.25

Step-by-step explanation:

y= -1.25x+6.5

What is the perimeter of a square with a length of 13cm and a base of 13cm???

Please Help I Need This By Tomorrow!

Answers

13+13+13+13=52
Answer=52cm^2

PLS HELP ME ASAP NOW PLS ILL GIVE EXTRA POINTS PLE HELP ME

Answers

Answer:

your not showing the whole thing

Step-by-step explanation:

Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in

Answers

The answer would be D. 10 in.

9 An exponential function is graphed on the grid.
V
20
18
16
14
112
6
2
1
2
3
4
5
6
7
Which function is best represented by the graph?
A g(x) = 6
= (3)
B g(x) = 6(3)*
C g(x) = 6 -
3
D g(x) = 6 -(3)*

Answers

The first one is the answer

can someone help me out with this

Answers

Answer:

x + 5, angle G is 16 degrees and angle F is

Step-by-step explanation:

3x + 11 = 5x - 9

3x + 10 = 5x

10 = 2x

x = 5

5(5) - 9 = 16

3(5) + 11 = 26

a school has 415 third grade and 338 second graders how many more third graders are there than second graders?

Answers

Answer:

There are 77 more third graders than there are second graders.

Step-by-step explanation:

You just have to subtract 338 from 415 to get your answer.

There are 77 more third graders you can find this by doing 415-338.

hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!

Answers

Answer:

9 1/2

Step-by-step explanation:

=2*3+3 1/2

=6+3+1/2

=9 1/2

Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.

Answers

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}​

Answers

Answer:

p=5c-15=p=5×5-15 =-15<p>10

Can someone help me

Answers

the answer is 9 because

3x9=27

and 27-18=9

mark brainliest plz

the answer is 9 yaya

Will mark brainliest

Answers

Answer: A) multiply the input by 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12÷2=6

36÷6=6

48÷8=6

54÷9=6

72÷12=6

so that means you have to multiply the input by 6.

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