Kevin graphed the inequality x > 1.

A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.

What mistake did Kevin make? Explain.

.

Answers

Answer 1

Answer:

Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.

Answer 2

Mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

What is open and closed circles?

" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."

According to the question,

Graph of inequality x > 1 represents all values greater 1 excluding 1.

Number line represents -3 to 5.

A closed circle at 1 means 1 is included.

As per the condition  of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.

Hence, mistake done by Kelvin is he  used closed circle at 1 where inequality x > 1 which excludes 1.

Learn more about open and closed circles here

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Related Questions

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches. Which is the volume of the aquarium? Pleaseeee helpppp

Answers

Step-by-step explanation:

It is given that,

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches.

We need to find the volume of the aquarium.

The formula for the volume of the rectangular prism is given by :

V = lbh

Where, l is length, b is width and h is height

Let the height of the prism is h inches. So,

V = A × h   (As Area, A = lb)

V = 250× h

= (250h) inch³

By substituting the value of h, we can find its volume.

Hence, the volume of the aquarium is (250h) inch³.

Answer:

The answer is 3,125

Step-by-step explanation:

What is the y-intercept of the equation?

Answers

Answer:

6

Step-by-step explanation:

We need to make the 2y into just y, so divide the whole equation by 2. Now you have

y = 3x + 6. Since 6 represents B in the equation, and b is the y-intercept, the y-intercept is 6

~theLocoCoco

y intercept at 6, look at the attachment for work

I'd really appreciate your help, please no joke answers

Find the distance from (7, -4) to y+3x - 5

Procedure would be apreciated

Image attached and an explaination I don't fully understsand

Answers

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       [tex]\sqrt{3^{2} } + (-1)^{2}[/tex]

d = | 20 | / [tex]\sqrt{10}[/tex]

d = 20 / [tex]\sqrt{10}[/tex]

d = 2[tex]\sqrt{10}[/tex]

Complete the table.


$80,20%
what is the sale price

Answers

Answer:

if the shoes are $80 and you take 20% off it is $64

Step-by-step explanation:

is 2/4 greater then 5/6?

Answers

Answer:

No 5/6 is greater

Step-by-step explanation:

2/4 is half. Half of 6 is 3.

A box of oat cereal costs $4.37 for 19 ounces. A box of rice cereal costs $3.77 for 13 ounces.

Which box of cereal costs less per ounce? Complete the explanation and give your answer.

Answers

Answer:

Oat cereal cost less per oz.

Step-by-step explanation:

OC: 4.37/19=0.23

RC:  3.77/13=0.29

oat cereal shows up as less for one ounce

Will mark brainliest for whoever answers

Answers

Answer:

Uh is it B, what kind of question is this

Step-by-step explanation:

Answer:

i think it is b

Step-by-step explanation:

Monday: 10 apples and 5 bananas
cost £4.20
Friday: 8 apples and 10 bananas
cost £5.40
Find the cost of each.

Answers

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

I will give brainliest to the best answer.

A random two digit number (10-99) is drawn. Find each probability

1. p(32)
2. p(odd number)
3. p(a multiple of 5)

My teacher gave an assignment on this and didn't even teach how to do it.​

Answers

Given that two digit numbers are used and one digit is drawn randomly.

Sample space = {10,11,...99}

n(S) = 90

32 is only one number favorable

Hence P(32) = 1/90

----------------------------

Odd numbers are exactly 45.

Hence prob (odd number) = 45/90 = 1/2

-------------------------------------

Multiples of 5 are 10,15,.....95

There are exactly 18 numbers.

Hence P(a multiple of 5) = 18/90 =1/5

Have an amazing day! <3

Please help!

if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?

A). $22,800
B). $21,530
C). $20,890
D).$18,240

Answers

Answer: 22,800

Step-by-step explanation: Depends on what you do that year

Does anyone know how to do this?

Answers

Step-by-step explanation:

I just solved this problem you can see my answers of this question


The original price of a marker is $5.00 What will the new price be after a
15% increase ? *

Answers

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

Answer:$5.75

Step-by-step explanation:

PLEASE HELP I KNOW ITS EASY BUT I FORGOT!!!! PLEASE HELP!! Write -3/8 as a decimal.

Answers

Answer:

-0.375

Step-by-step explanation:

You can write fractions as equations and solve for a decimal.

-3/8 = -3 ÷ 8

-3 ÷ 8 = -0.375

Answer:

I got you bro

Step-by-step explanation:

-0.38

I have no clue how to answer this?

Answers

What grade u in? The question looks kinda hard

HELP PLS I JUST HAVE 10 MIN ILL PICK BRIALIAST

Answers

Answer:

0.6

Step-by-step explanation:

Brainliest please

Kayla is pricing whole wheat flour.

A 5-pound bag at Bargain Mart costs $6.45.
A 2-pound bag at Food Saver costs $2.50.
A 7-pound bag at Grocery Surplus costs $9.45
A 10-pound bag at Economart costs $12.89. ​
​The shop with which sells flour for the lowest unit price is

Answers

A 2 pound pag at food saver sells flour for the lowest because if you buy the same amount of flour for each one easiest way would be 70 pounds and if you compare all four you will notice a 2 pound bag is the lowest unit price
5-90.3
2-87.5
7-94.5
10-90.23

Answer:

2 pound

Step-by-step explanation:

Im legit doing this question right now

PLEASE THIS IS URGENT
If you round a divisor down, is the quotient going to be less than or greater than the actual quotient? Explain. ​

Answers

It’s going to be less than. If you take 7.4 and round down to 7, it will be lower than the actual of 7.4

Does -45 belong in natural numbers or whole numbers (giving brainliest)

Answers

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

Step-by-step explanation:

What is equivalent to -(-2)

Answers

2 is equivalent to -(-2)
2 is equivalent ok vthen

State if the two triangles are congruent. If they are, state how you know.

A) Yes, by SSS

B) No, may not be determined

C) Yes, by SAS

D) Yes, by ASA

E) Yes, by AAS

Answers

Answer: C) yes, by SAS. The lines on the triangle make show that those sides are equal to one another. So, the angle in the middle would be the same to.

Answer:

CCCC YES BY SASA

Step-by-step explanation:

10 points
This morning, Suzie took a history test. There were 74 multiple-choice
problems on the test and Suzie answered 50% of them correctly. How
many problems did Suzie get right?

Answers

The answer should be 37

Geometry...Please help as soon as possible please and Thank you!!!

Answers

Answer:

Step-by-step explanation:

Statement1. ST║UV

Reason 1. Given

Statement 2. ∠U≅∠T (A)

Reason2. Alternate interior angles

Statemnt 3. ST≅UV (S)

Reason3. Given

Statement 4. ∠S≅∠V (A)

Reason 4. Alternate interior angles

Statment5. ΔSTW≅ΔVUW

Reason5. ASA theorem of congruency

Answer:

GOOD LUCK ❤️

Step-by-step explanation:

.........

Which statement describes the term salary?
A.
Salary refers to the fixed amount paid on a daily basis.
B.
Salary refers to the varying amount paid on a daily basis.
C.
Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.

Answers

C. Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.

what is the answer to x - 8 < -2

Answers

Answer:

X < 6

Step-by-step explanation:

Add 8 to both sides

x < 6

Answer:

X<6

Step-by-step explanation:

x-8<-2

So first off, you want to get X by itself. To do that you have to do the opposite of what the number is. If the number is negative you add it. If the number is positive, you subtract it. What you do on one side, you do on both.

x-8<-2

+8      +8

X<-2+8

Next, You need to add alike terms.

X<6

Evaluate the expression shown for x = 9.
-5/6x +7.

A.-13 1/3.

B.-1/2.

C.7 1/3.

D.9 2/3

Answers

Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

565 miles in 12 hours

Answers

47.08 miles per hour.
I hope this helps you :)

What is the distance between A(3,7) and B(4,2)?
Round your answer to the nearest tenth.
A. 5.1
B. 4.9
C. 11.4
D. 7.9

Answers

Answer:

        A.  5.1

Step-by-step explanation:

[tex]d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\A(3,7)\quad\implies\quad x_A=3\,,\ y_A=7\\\\B(4,2)\quad\implies\quad x_B=4\,,\ y_B=2\\\\d=\sqrt{(4-3)^2+(2-7)^2}= \sqrt{1^2+(-5)^2}= \sqrt{1+25}= \sqrt{26}\approx5.1[/tex]

I need the answer please​

Answers

Answer: i'm sorry i can not answer your question cos i can't see the last part of the problem but i riley wish i could but since i cant i'll thank you and rate you with 5 stars if you want to be friends we can just follow me and friend me you don't have to if you don't want to so stay safe around others

Step-by-step explanation:

Victoria uses
3/16
cup of flavored syrup to make an Italian soda. She has 2 cups of flavored syrup left. How many Italian sodas can she make?
A.
9 3/8
B.

10 2/3
C.

11 1/4
D.

12 1/2

Answers

Answer:

B. or 10 2/3

Step-by-step explanation: Because if she had only 2 cups left then 1 cup can make 5 drinks so 10 then the rest would be a fraction.

She can make 32/3 of Italian sodas with 2 cups of flavored syrup.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Victoria uses 3/16 cups of flavored syrup to make an Italian soda.

Assume that 3/16th of x is 1.

∴ (3/16)x = 1.

3x/16 = 1.

3x = 16.

x = 16/3,

Now from 2 cups of flavored syrup, we can make 2x of  Italian soda.

Which is (16×2)/3.

= 32/3

learn more about fractions here :

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14. Graph
y>-1/2x-4
Y

Answers

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

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