Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than ​$10,000. The price of car A is ​$130,645. a. Assuming that you do not know which model is more​ expensive, write an absolute value inequality that describes this situation. Use x for the price of car B. b. What are the possibilities for the price of car​ B?

Answers

Answer 1

Part a.

x = price of car B

x-130645 = difference in price from car A to car B

If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.

In short,

x-130645 > 0 when x > 130645x-130645 < 0 when x < 130645

Using absolute value will give us

|x-130645| = positive difference in price

The result of an absolute value is never negative

We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.

-----------

Answer:  | x-130645 | > 10000

================================================

Part b.

We'll use the idea that if |x| > k, then x < -k or x > k

to get the following

|x-130645| > 10000

x-130645 < -10000 or x-130645 > 10000

x < -10000+130645  or  x > 10000+130645

x < 120645  or  x > 140645

-----------

Answer:

Car B has a price less than $120,645

OR

Car B has a price greater than $140,645

So basically anything that is not between 120645 and 140645. The price has to be positive of course.


Related Questions

In the figure below, Y is between X and Z
and XZ = 40

Please help ASAPPPP!!!

Answers

Answer:

32

Step-by-step explanation:

The value of a is 8.

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

XZ = XY + YZ

40 = 3a + 8 + a

40 = 4a + 8

40 - 8 = 4a

32 = 4a

a = 32/4

a = 8

Thus,

a is 8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Point U is on line segment TV. Given UV = 4 and TU = 13, determine
the length TV.

Answers

Answer:

17 units

Step-by-step explanation:

what goes in the green box and what is 6 * 28 ​

Answers

6*28= 168
You put 168 in the green box

Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta. ​

Answers

2340 es divisible por estos números. La resonanica wue entran en este número es porque todos son factores de este número.

Answer: The number 2340 is divisible by 2,3,5,9 and 10

=====================================================

Here's why

2340/2 = 1170 is a whole number, so it is divisible by 2

Note how the last digit is an even number, so overall the number is even and divisible by 2

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

Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.

We can see we get whole number results shown below

2340/3 = 780

2340/9 = 260

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

The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2

And we can see that

2340/5 = 468

2340/10 = 234

Showing 2340 is a multiple of 5 and 10.

2x - 3 = 1 and -3x + 6 = 12

Answers

Answer:

I am confused by the question no CAPPPPPP

Step-by-step explanation:

is -2 a solution for 7x+3=-17-3x ?​

Answers

Answer:

yes -2 is the correct answer

Step-by-step explanation:

7x+3=-17-3x

7x+3x=-17-3

10x=-20

x=-20/10

x=-2

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Yes.}}}}[/tex]

Step-by-step explanation:

=> [tex]\sf 7x+ 3 = -17-3x[/tex]

Combining like terms

=> [tex]\sf 7x+ 3x = -17-3[/tex]

=> [tex]\sf 10x = -20[/tex]

Dividing both sides by 10

=> [tex]\sf x = -2[/tex]

So, -2 is a solution of the given equation.

{(1,3), (2, 5), (3,-4), (4, -3), (5, -1)} The above is DONE

Function or not a Function?​

Answers

Answer:

Yes it is a Function

Step-by-step explanation:

Because there are no same x-values with the same y-values

Point P is 1/4 of distance from A (-8,-4) to
B (4,0)

Answers

Answer:

√10

Step-by-step explanation:

A (-8,-4) to B (4,0) is distance d

d=√(x2-x1)²+(y2-y1)²

d=√(4-(-8))²+(0-(-4))²

d=√12²+4²

d=√144+16 =√160

d=√16*10=4√10

p is 1/4 of distance = 1/4(4√10)=√10

0

how do you solve this

Answers

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

Find the missing side
length of the right
triangle. Remember
a² + b² = c²
12 ft
5 ft
?

Answers

5 x 5 + 12 x 12= ...

what is the answer to the equation 8n + 10 = 50 solve for n

Answers

Answer: [tex]n=5[/tex]

Add -10 to each side of the equation

[tex]10 + -10 + 8n = 50 + -10[/tex]

Combine like terms

[tex]0 + 8n = 50 + -10\\8n = 50 + -10\\8n = 40[/tex]

Divide each side by 8

[tex]8n/8=40/8\\n=5[/tex]

Answer:

n = 5

Step-by-step explanation:

8n +10 = 50

     -10    -10

   

     8n  = 40

      8      8

       n   = 5

Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.

Answers

Is this for the connect it math page I’m stuck on it too

Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?

Answers

Answer:

the balance was when the account went into overdraft : 37.48 dollars

Step-by-step explanation:

deposit 23.34 for six weeks : 140.04 dollars

140.04-102.56 =37.48  the

the balance was when the account went into overdraft : 37.48 dollars

Simplify 3(у- 1) +7 completely.
А. Зу+6
В. Зу+ 4
С. 3y+10
D. Зу- 3

Answers

Answer:

B. 3y + 4

Step-by-step explanation:

Step 1:

3 (y - 1) + 7

Step 2:

3y - 3 + 7

Answer:

3y + 4

Hope This Helps :)

use distributive property. 3xY, 3x -1, +7
so the answer is 3y-3+7. you combine like terms and get B. 3y+4

Given the graphs of y = f(x) and y = g(x),
g(x) = f(x)
expresses g(x) in terms of f(x).

Answers

Step-by-step explanation:

g(x) = f(x) + 4.

This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)

Given the graphs of y = f(x) and y = g(x),

g(x) = f(x)  + 3

expresses g(x) in terms of f(x).

The Answer is 3.

Standard Form to Scientific Notation:
5.8 x 107 =

Answers

Answer:

just move the decimal a 107 times and add 0's

Step-by-step explanation:

Solve for x.

-6x - 29 = 5x - 7​

Answers

Answer:

x = -2

Step-by-step explanation:

-6x - 29 = 5x - 7​

Add -6x to both sides

-29 = 11x - 7

Add 7 on both sides

-22 = 11x

Divide

[tex]\frac{-22}{11}[/tex] = [tex]\frac{11x}{11}[/tex]

x = -2

Answer:

x = -2

Step-by-step explanation:

move the terms

-6x -5x = -7 + 29

collect like terms

-11x = 22

divide both sides of the equation by -11

x = -2

48(13/24)

multiply 48 and 13 over 24

Answers

Answer:

when 48 multiply by 24 the answer is 1152

when 13 multiply by 24 the answer is 312

48x24 1152
13x24= 312

Kami is cooking dinner for a family reunion that 21 people are attending. If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?

Answers

Answer:

Kami will need 33.6 ounces of ground beef for the recipe

Step-by-step explanation:

From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.

Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces  = 33.6 ounces of ground to make the recipe for the entire dinner.

If 10 chips are 130 cals how much is just one chip?

Answers

Just divide 130 by 10 to get 13, so the answer is 13!

Six girls share 5 1/3 pounds of pretzel each one receive the same amount. However, Sue only eats half of her pretzels and leaves the uneaten on the plate . How many pounds does sue leave on her plate?

Answers

Answer:

4/9 pounds

Step-by-step explanation:

5 1/3 pounds of pretzels divided equally for 6 girls would mean that each girl gets 8/9 pounds of pretzel.

If Sue ate half of the 8/9 pounds, that would equal to 4/9 pounds of pretzel.

Let f(x)=-2x-1 and g(x)=x^2-1

Answers

F o g=
F(5x^2-5)= -10x^3-5x^2+10x+5

need help with this answer ​

Answers

Answer:

which one?

Step-by-step explanation:

Answer:

There is no question

Step-by-step explanation:

How do I solve 3.24 x 1.2? I have tried and I always get the same answer! Please help! The answer is supposed to be 3.888 but I have gotten 6.47 each time. I'm good at math but I really need help!

Answers

Answer:

3.888

Step-by-step explanation:

3.24 × 1.2

Using Multiplication method multiply through like normal multiplication, don't

put your decimal yet

= 3.24

× 1.20

_______

000

6480

+32400

_______

38880

_________

Counting the number of decimal places to knowing where to properly place your decimal sign

3.24 = 2 decimal place

1.20 = 2 decimal place

Total = 4 decimal places

3.8880

Therefore, 3.24 × 1.20 = 3.8880 or 3.888

Which strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2 ​

Answers

Answer:

  substitution (or addition)

Step-by-step explanation:

A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:

  x = 6y -8

  7(6y -8) -y = -2 . . . . . x variable eliminated

__

The second equation is easily solved for y, so you could substitute that into the first equation.

  y = 7x +2

  -x +6(7x +2) = 8 . . . . . y-variable eliminated

__

The "addition" method is always a good way to eliminate a variable.

When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.

To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:

   7(-x +6y) +(7x -y) = 7(8) +(-2)

  42y -y = 56 -2 . . . . . . x-variable eliminated

Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:

  (-x +6y) +6(7x -y) = (8) +6(-2)

  -x +42x = -4 . . . . . . . . y-variable eliminated

__

It is often the case that using either substitution or "addition" requires about the same amount of work.

Here, the solutions are (x, y) = (-4/41, 54/41).

Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is

Answers

Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer:

5

5

15

Step-by-step explanation:

Determine whether the source given below has the potential to create a bias in a statistical study. Washington University obtained word counts from the most popular novels of the past five years. Choose the correct answer below.A. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.B. There does not appear to be a potential to create a bias. The organization would not gain from putting a spin on the results.C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with the​organization's creed and that of its funders.D. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.

Answers

Answer:

B

Step-by-step explanation:

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2

Answers

Answer:

F(a) = a² + 3a - 2

F(x-1) = x² + x -4

Step-by-step explanation:

Note:

Domain is missing, assume domain

F(a)

F(x-1)

Given:

F(x) = x² + 3x - 2

Computation:

1. F(x) = x² + 3x - 2

So,

⇒ F(a) = a² + 3a - 2

2. F(x-1) = (x-1)² + 3(x-1) - 2

F(x-1) = x² + 1 -2x + 3x - 3 - 2

F(x-1) = x² + x -4

Your town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three months?​

Answers

Answer:

4.4366

Step-by-step explanation:

3.44+5.07+4.28=13.31

13.31/3=4.4366

hope this helps

Need help as soon as possible

Answers

Answer:

D. 70

Step-by-step explanation:

if vx is bisector then 3z - 4 = z + 6 add like terms

2z = 10;and z = 5

To find the perimeter we add all side lengths

VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z

we know z = 5 so 14 × 5 = 70

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