Graph the solution on a number line

x<2

Graph is included!

Graph The Solution On A Number Linex&lt;2Graph Is Included!

Answers

Answer 1
All you have to do is place an open circle at X = 2 and draw an arrow pointing to the left of the number 2. Since this represents all values less than 2, and not including 2, are possible solutions to the following inequality.

Related Questions

Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.

-4
4
10
0

Answers

Absolute value can not be negative. Which means -4 is definitely not a correct answer.

So we plug in the values of a,b, c

5+(-3)-(-2)=4
Which is the first choice

Which of the following best describes the dependent variable?
Answer The variable that responds to change.
The variable that is deliberately changed.
The variable kept constant.
The treatment in an investigation.

Answers

the variable that responds to change.

What is substitution property of equality?

Answers

A rule used in algebra. If known that y = x, then you can substitute x in for y in any equation and visa verse. 

Two equations are given below:

a – 3b = 28
a = b – 2

What is the solution to the set of equations in the form (a, b)?

(–12, –10)
(–15, –13)
(–17, –15)
(–18, –16)

Answers

siince 2nd equation is already equal a, subsitute b-2 for a in the other equation

b-2-3b=28
-2-2b=28
add 2 to both sides
-2b=30
divide both sides by -2
b=-15
sub back
a=b-2
a=-15-2
a=-17

(a,b)
(-17,-15)

3rd choice

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

What is an equivalent equation solved for h?

h = (– b)÷ r
h = – b ÷ r
h = ÷ r – b
h = ÷ r

Answers

Answer:

a

Step-by-step explanation:

Final answer:

The equivalent equation solved for h is h = -b/r. To derive this equation, we can isolate h in the given equation p = 0.7(rh + b) by multiplying both sides by the reciprocal of 0.7, distributing, and simplifying, option n 2 is correct.

Explanation:

The equivalent equation solved for h is h = −b ÷ r.

To derive this equation, we need to isolate h in the given equation p = 0.7(rh + b). We can start by multiplying both sides of the equation by the reciprocal of 0.7, which is 1.4286 (approximately).

Then, we can distribute the 1.4286 to the terms inside the parentheses to get p = 1.4286rh + 1.4286b. Next, we can subtract 1.4286b from both sides of the equation to isolate the 1.4286rh term.

Finally, we can divide both sides of the equation by 1.4286r to solve for h, which gives us the equivalent equation h = −b ÷ r.

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

Answers

At first glance we can think of this as a question just asking for slope of the line like in the diagram. However..

It is not the only way. We could make an equation for slope and find the derivative, but this isnt needed.

12/4 =  3  = 18/6

Another way is to make a small triangle inside the shorter one.

height = (18 - 12)
width = (6-2)

h = 6, w = 2

slope = rise/run = h/w  = 6/2 = "3"

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plz so i rank up :D

Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is...
A.20.27 B.61 C.77.27

Answers

The answere would be C - 77.27 because you would need to use sin

:)

Answer:

C.77.27

Step-by-step explanation:

For plato users this is correct

in the drawing six out of every 10 tickets are winning tickets of the winning tickets one out of every three awards is a larger prize what is the probability that a ticket is randomly chosen will award a larger prize

Answers

Final answer:

The probability that a randomly chosen ticket will award a larger prize is calculated by multiplying the probability of getting a winning ticket with the probability that the winning ticket is for a larger prize, which results in a 20% chance.

Explanation:

The question is seeking to determine the probability that a ticket chosen at random from a raffle will award a larger prize. We are given that 6 out of every 10 tickets are winning tickets, and of those winning tickets, 1 in every 3 is for a larger prize. To find this probability, we need to multiply the probability of a ticket being a winner by the probability of the winning ticket awarding a larger prize:

Probability of a winning ticket = 6/10 or 0.6Probability of a larger prize if it's a winning ticket = 1/3 or approximately 0.333

Now, we multiply these probabilities:

Probability of a larger prize = Probability of winning ticket × Probability of a larger prize given a winning ticket

Probability of a larger prize = 0.6 × 0.333

Probability of a larger prize = 0.2 or 20%

Answer: B or 1/5

Step-by-step explanation:

A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.
what is the exact probability that she picks an egg?

Answers

Answer: 29/40 (PLATO)

Have a good day!


What is the value of y in the equation 6.4x 2.8y = 44.4, when x = 3? user: what is the value of x in the equation x ��� y = 30, when y = 15? 4 8 80 200

Answers

6.4(3)+2.8y=44.4
=19.2+2.8y=44.4
=2.8y=44.4-19.2
2.8y=25.2
Y=25.2/2.8=9
Y=9

how many times does 8 go into 64

Answers

Eight goes into eight , eight times. 8 times 8= 64
8x8=64 same as 8+8+8+8+8+8+8+8. Answer is 8.

Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?

A. P
B. Q
C. T
D. U

Answers

Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?

Answer is A. ∠P

The angle that has the sine ratio, 4/5, is: A. Angle P.

What is the Sine Ratio?

Sine ratio is the ratio of the opposite side over the hypotenuse of the right triangle in respect to the given reference angle.

Given, sine ratio of 4/5, then it means:

Opposite side (side directly opposite to the reference angle) = 4

Hypotenuse (longest side) = 5.

Thus, in the image given, using P as the reference angle, the sine ratio of P is:

QR/PQ = 16/20 = 4/5

Therefore, the angle with the sine ratio of 4/5 is: A. P.

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Describe how the graph of y=log (10 000x) is related to the graph of y=log x

Answers

Background: log (a . b) = log a + log b 
hence log(10000x) = log 10000 + log x but we know that log 10000 = 4
                               = 4 + log x 
therefore the graph of log(10000x) is just the graph of log x transposed by 4 

graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given graphs of  y=log (10 000x)

y equal to ten thousand of x

We know a property of log.

logab=loga+logb

Log ab equal to log a plus log b.

So log (10 000x) =log 10000+log x

=4+logx

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

So the graph of log (10 000x) is transposed by 4 units.

Hence  graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.

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A ruler is 12 inches long.what is the length of this ruler in centimeters

Answers

30.48 cm. You could use google to do this as well :)

Sales tax on an item is directly proportional to the cost of the item purchased if the tax on a $600 item is $36 what is the sales tax on a $950 item?

Answers

In this, you need to calculate the % of tax.
It would be: 36/600 * 100 = 6%

So, on $950 item it will be: 950*6/100 = $57

So, your final answer is $57

The sales tax on the item costs $950 is $57.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, the cost of the item purchased if the tax on a $600 item is $36.

Now, rate of sales tax =36/600 ×100

= 6%

The sales tax on a $950 item is

6% of 950

= 0.06×950

= $57

Hence, the sales tax on the item costs $950 is $57.

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6w-y=2z, Solve for the value of w

Answers

6w-y=2z 6w=2z+y w=(2z+y):6 w=(z:3)+(y:6)
to solve this 6w-y=2z equation for the value of w 
we will keep w on the left side and will take remaining on the right side6w=2z+yw=(z/2)+(y/6)  

in a certain class, the ration of passing grades to failing grades is 9 to 3. If 17 grades were failing, how many passing grades were there?

Answers

[tex] \frac{9}{3} = \frac{x}{17} cross multiply 3x=17*9=153 x= \frac{153}{3} =51[/tex]

Final answer:

The ratio of passing to failing grades in the class is 3 to 1. With 17 failing grades, we can determine there were 51 passing grades by setting up a proportion and solving for the number of passing grades.

Explanation:

The question relates to the ratio of passing grades to failing grades and asks us to find the number of passing grades if there are 17 failing grades. The ratio given is 9 to 3, which simplifies to 3 to 1 (since both 9 and 3 are divisible by 3). This means for every 3 passing grades, there is 1 failing grade.

Since there are 17 failing grades and the ratio of failing to passing is 1 to 3, we can set up a proportion to find the number of passing grades (p):

1/3 = 17/p

Multiplying both sides by p and then by 3 gives us:

3 × 17 = 1 × p

51 = p

Therefore, there were 51 passing grades.

Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he needs to eat for the next 9 minutes to break his own record.

Answers

Final answer:

Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes to break his record of 72 hot dogs.

Explanation:

To find the number of hot dogs per minute Joey Chestnut needs to eat in the remaining 9 minutes to break his record, we need to start by calculating how many more hot dogs he needs to surpass 72 hot dogs. Since he has already eaten 10 hot dogs in the first minute, he needs to eat more than 62 hot dogs in the next 9 minutes to break the record.

We calculate the average number of hot dogs per minute by dividing the remaining number of hot dogs by the number of minutes left. So,

Number of hot dogs needed > 72 hot dogs - 10 hot dogs = 62 hot dogsMinutes remaining = 9 minutesHot dogs per minute needed = Number of hot dogs needed / Minutes remainingHot dogs per minute needed > 62 hot dogs / 9 minutes ≈ 6.89 hot dogs per minute

To break his record, Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes.

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Joey needs to eat:

[tex]\[\boxed{7}\][/tex]

hot dogs per minute for the next 9 minutes to break his record.

Joey Chestnut wants to break his record of eating more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. We need to find out how many hot dogs per minute he needs to eat for the remaining 9 minutes to break his record.

First, determine the number of hot dogs Joey needs to eat in total to break the record:

[tex]\[72 + 1 = 73 \text{ hot dogs}\][/tex]

Next, calculate the number of hot dogs he still needs to eat after the first minute:

[tex]\[73 - 10 = 63 \text{ hot dogs}\][/tex]

Since he has 9 minutes remaining, we need to find the number of hot dogs per minute he needs to eat:

[tex]\[\frac{63 \text{ hot dogs}}{9 \text{ minutes}} = 7 \text{ hot dogs per minute}\][/tex]

Therefore, Joey needs to eat:

[tex]\[\boxed{7}\][/tex]

hot dogs per minute for the next 9 minutes to break his record.

You take out a cash advance of $2,790.00 on a credit card with a 3.5% cash advance fee and a 13.5% APR. What is the amount due by the end of the month?

Answers

The first thing to consider is that when computing the APR for one month you must divide the interest rate by 12 since the 13.5% is based annually. 13.5% is equivalent to .135 in decimal form. But then when we divide it by 12 we get, (.135)/12 = .01125 which is your monthly interest rate versus your annual one. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(monthly int. rate) = total interest charged for month ($2,790)(.01125) = $31.3875 The next thing to consider is the additional charge of the 3.5%. This is equivalent to .035 in decimal form. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(advance int. fee) = total cash advance fee ($2790)(.035) = $97.65 So the total amount due at the end of the month would be $2790 + $31.39 + $97.65 = $2919.04 after interest rates and the additional fee gets applied.

Answer:

$2,920.14

Step-by-step explanation:

cash advance fee: $2,790.00 * 0.035 = $97.65original principal: $2,790.00 + $97.65 = $2,887.651st month interest accrued: ($2,887.65) (0.135)(1/12) = $32.49total due at end of 1st month: $2,887.65 + $32.49 = $2,920.14

Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.

Answers

The answer is 5 books.

m - the number of books sold on Monday
t - the number of books sold on Tuesday
w - the number of books sold on Wednesday

On Tuesday, she sold twice as many books as she did on Monday: t = 2m
On Wednesday, she sold 6 fewer books than she did on Tuesday: w = t - 6
During the three days Rachel sold 19 books: m + t + w = 19

t = 2m
w = t - 6 = 2m - 6
m + t + w = 19
______
Substitute t and w in the third equation:
m + 2m + 2m - 6 = 19
5m - 6 = 19
5m = 19 + 6
5m = 25
m = 25 : 5
m = 5

find the quotient of 1 1/3 and 5/6..
Can you please show me the steps? thank u ...?

Answers

1 1/3= 1 2/6=8/6 8/6÷5/6=8/5
In order to find the quotient of the given fractions above, the first thing we need to do is to convert the mixed fraction into an improper fraction.
1 1/3 is 4/3. 
So now that we have 4/3 and 5/6, we now proceed to the division process.
4/3 divided by 5/6. The first thing to do is to turn the second fraction upside down which will look 6/5. Then proceed to multiplication.
4/3 x 6/5 and we get 24/15. The last step would be to simplify this and the final answer is 8/5 or 1 and 3/5. Hope this answer helps.

Estimate 24% of 33.

a) 17

b) 12

c) 8

d) 2

Answers

8 because the actual answer is 792. 2 is too low and 17 is too high. so is 12

On a certain day the temperature in new york city was -4c and the temperature in austin was 10c. how many degrees lower was the temperature in new york city.

Answers

it was 14° lower

hope this helps you

Answer:

14 degress below

Step-by-step explanation:

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line?

Answers

y – 11 = (x + 7)  ... they got this equation by plugging one of your two points into point-slope form ... y - y₁ = m(x - x₁). the other equation that represents the line could involve your second point that they gave you (8, -9).

y + 9 = (x - 8), for example. then you can convert it to slope intercept, y = mx + b format and get a third line:

y + 9 = x - 8  .... subtract 9
y = x - 17

i don't know how many different equations the question wants, but there are two of them for you.

express r=2cos(theta)+2sin(theta) as a cartesian function.

Answers

The function is in polar coordinates.

When this is the case, to pass to rectagular (cartesian) coordinates you use:

x = r cos(theta)
y = r sin(theta)

Then,

x = [2cos(theta) + 2sin(theta)]cos(theta) =

= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)

y = [2cos(theta) + 2sin(theta)]sin(theta) =

= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2

 

Solve for B.

R = x(A + B)
a. B = (R - A)/x
b. B = (A - Rx)/x
c. B = (R - Ax)/x ...?

Answers

Hmmmm, the correct answer isn't stated here. The answer should be: [tex]B=-A+ \frac{R}{x} [/tex]
The answer is C. Solve it like you would a equation with b for the variable. You first, distribute the x into the problem in the parenthesis: R=Ax+Bx. Then, you realize that Ax is positive and the to remove it is to subtract Ax and will leave with Bx on the right side of this equation (remember, what you do on one side, you must do to the other in order to keep it balanced). That means you must subtract Ax from the left side of the equation also, leaving you with: R-Ax=Bx. Now, to get that B alone, you must realize that the right hand side of the equation is a multiplication problem so the only way to remove it is to divide right? So the right hand side now is only B. REMEMBER! You must do to both sides of the equation so you must divide the left hand side of the equation by X. And you are left with R - Ax/ X. Same as (R-Ax)/x. So choice c is the correct answer.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

If x > 1, then which of the following has the LEAST value?

Answers

Final answer:

If x > 1, then the expression (0.25 - x) will have the least value when x is equal to 1.

Explanation:

If x > 1, then the expression (0.25 - x) will be negative. When comparing negative values, the one with the least absolute value will have the least value. Therefore, to find the expression with the least value, we want to find the largest negative value for (0.25 - x). Since x > 1, the largest negative value for (0.25 - x) would occur when x is closest to its minimum value, which is 1. Therefore, the expression (0.25 - x) will have the least value when x is equal to 1.

The public library has fewer than 4,000 books.

Let b represent the number of books in the library.

Which inequality describes the number of books?

b < 4,000
b > 4,000
b ≤ 4,000
b ≥ 4,000

Answers

b<4,000 is the inequality because b is less than 4,000

Answer:  The correct option is (A) b < 4000.

Step-by-step explanation:  Given that the public library has fewer than 4,000 books.

We are to select the inequality that describes the number of books in the library.

The number of books in the library is represented by b.

According to the given information, the inequality hat describes the number of books in the library is given by

[tex]b<4000.[/tex]

Thus, (A) is the correct option.

What's the answer ??? Someone please help me

Answers

The awnser is ten hope I helped you have to count how many spaces Joan travel to Gary and how many spaces he traveled from garb to kash
The answer is: 22.4339811320566038 mi.
                   → Consider rounding to 22.43 mi.
_______________________________________________________
(Note: Do not forget the units, in "miles", which can be abbreviated as: "mi.").
____________________________________________________________________
Explanation:
_____________________________________________________________________
Let us assume that, at the beginning, Joan is leaving her own house to pick up Kash, first.
_____________________________________________________________________
Then, the answer to our problem is the sum of the length of all sides of the triangle given, remember that each "unit" on the graph represents miles.
_____________________________________________________________________
We can solve this using the Pythagorean theorem: 
_____________________________________________________________________
a² + b² = c² ; in which: c = the distance from Joan's house to Kash's house;
                                    b = the distance from Kash's house to Gary's house;
                                    a = the distance from Gary's house to Joan's house;
_____________________________________________________________________
Our answer is the sum of: "a + b + c".
_____________________________________________________________________
Using the graph, we can the determine the values for: "a" and "b"; 
Using the Pythagorean theorem, we can determine the value for "c"; 
   then we can add: "a + b + c" to determine our answer.
_____________________________________________________________________
From inspecting the graph:
_____________________________________________________________________
 b = the distance from Kash's house to Gary's house = 8 mi. [miles] ;
 a = the distance from Gary's house to Joan's house =  5 mi. [miles] ;
__________________________________________________________
Using the Pythagorean theorem, we want to solve for "c":
__________________________________________________________
a² + b² = c² ; We substitute our known values for "a" and for "b" :
_____________________________________________________
5² + 8² = c² ;  Simplify:
_____________________________________________________
25 + 64 = c² ;

89 =  c² ; Take the positive square root of both sides to solve for "c"; 
_______________________________________________________
√89 = √(c²) ;  c = √89 = 9.4339811320566038
_______________________________________________________
Now, we can find our answer:
_______________________________________________________________
a + b + c = 5 + 8 + (9.4339811320566038) = 22.4339811320566038 mi.
                                                                   → Consider rounding to 22.43 mi. ;
                                                                              which is our answer.

_________________________________________________________________


Chelsea has a beginning balance of $715 in her checking account. She writes two checks for $320 and $640. She has a deposit of $400 and an overdraft fee of $29. What is her new balance?

$126

$2104

$1094

$184

Answers

The answer would be $126 in her new balance.
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