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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,

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.

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Answer:  | x-130645 | > 10000

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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

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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.

Answer:

yes

Step-by-step explanation:

Answer:

0 (A)

Step-by-step explanation:

just cancel equal terms on both size

Answer:

Step-by-step explanation:

2x² + 5x + 2=0  (roots or zeros)

(2x+1)(x+2)=0

2x+1=0 ⇒ x=-1/2 or -0.5

x+2=0 ⇒ x=-2

x² - 4x + 3=0

(x-3)(x-1)=0

x-3=0 ⇒ x=3

x-1=0 ⇒ x=1

Answer: in exact form: 291.5 + 30.25π cm²

              correct to 2 decimal places: 386.53 cm²

Step-by-step explanation:

first you find the area of the rectangle:

= length × width

= 53 × 11

= 583 cm²

Next you find the area of the semicircle:

= π × r² (where r is the radius)

= π × (11/2)²

= 30.25π cm²

Then you find the area of the unshaded triangle:

= half × base length × perpendicular height

= 1/2 × 53 × 11

=291.5 cm²

Finally you subtract the unshaded area (the triangle) from the shaded area (not including the semicircle) then add the semicircle to your result.

= 583 (rectangle) - 291.5 (triangle) + 30.25π (semicircle)

= 291.5 + 30.25π

≈ 386.53 cm² (2 decimal places)

Answer:

Step-by-step explanation:

4.

[tex]3=\left|2k+7\right|\\\\\mathrm{Switch\:sides}\\\left|2k+7\right|=3\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2k+7=-3\quad \mathrm{or}\quad \:2k+7=3\\\\2k+7=-3\quad :\quad k=-5\\\\2k+7=3\quad :\quad k=-2\\\\\mathrm{Combine\:Solutions:}\\k=-5\quad \mathrm{or}\quad \:k=-2[/tex]

6.

[tex]3\left|m+8\right|=39\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left|m+8\right|}{3}=\frac{39}{3}\\\\Simplify\\\left|m+8\right|=13\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\m+8=-13\quad \mathrm{or}\quad \:m+8=13\\\\m+8=-13\quad :\quad m=-21\\m+8=13\quad :\quad m=5\\\\\mathrm{Combine\:Solutions:}\\m=-21\quad \mathrm{or}\quad \:m=5[/tex]

Answer:

4. k = -2 or k = -5

6. m = 5  or m = -21

Step-by-step explanation:

Here is the rule:

To solve an absolute value equation, get the absolute value alone on one side. Then split it into two equations separated by the word or. Each equation has what is inside the absolute value on the left side, and on the right side, one equation has the right side of the absolute value equation, and the other equation has the negative of the right side of the absolute equation.

This is a long explanation which is easier to understand with an example.

Example:

|3x + 2| = 16

Split it into two equations separated by the word "or."

3x + 2 = 16 or 3x + 2 = -16

You see that the left side of the two equations is the inside of the absolute value. The right side of the two equations is positive and negative 16 as explained int he rule.

4.

3 = |2k + 7|

Switch sides.

|2k + 7| = 3

Follow the rule above and split the equation into two equations separated by the word "or."

2k + 7 = 3 or 2k + 7 = -3

2k = -4  or  2k = -10

k = -2  or  k = -5

6.

3|m + 8| = 39

We want the absolute value alone on the left side, so divide both sides by 3.

|m + 8| = 13

Now apply the rule above to split the equation into two equations.

m + 8 = 13  or  m + 8 = -13

m = 5  or m = -21

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

You have to follow the order of operations so first off, we'd do -(32-12) which is negative twenty.

Now we're left with;

-20 + 4/2

Here we're going to do division before we add so,

4/2 is 2

All that's left would be,

-20 + 2 which equals -18

Hope that helps, and have a great day!

Answer:

pure substance! I checked.

Step-by-step explanation:

In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.

Answer:

6⋅(x+3)⋅(x−3)

Step-by-step explanation:

Dividing by 2 is obvious. Square root is "a number which produces a specified quantity when multiplied by itself." Essentially the opposite of exponents.

Answer:

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

[tex]a=lw[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

The length of the rectangle is 13 and the width is 8.

[tex]l=13\\w=8[/tex]

Substitute the values into the formula.

[tex]a=13*8[/tex]

[tex]a=104[/tex]

Next, let's find the area of the semicircle. We can use the formula below.

[tex]a=\frac{1}{2} *\pi r^2[/tex]

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

[tex]a=\frac{1}{2} *\pi (4)^2[/tex]

Evaluate the exponent.

⇒ 4² = 4*4 = 16

[tex]a=\frac{1}{2} *\pi *16[/tex]

Multiply pi and 16.

[tex]a=\frac{1}{2} *50.2654825[/tex]

Multiply.

[tex]a=25.1327412[/tex]

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

[tex]104+25.1327412[/tex]

[tex]129.132741[/tex]

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

[tex]129.1[/tex]

The area of the figure is about 129.1 (square units).

Answer:

no expression is equal to -20

Step-by-step explanation:

3 x^2 - 15x - 108 = 0

divided by 3

x^2 - 5x - 36 = 0

factorice

(x= -9)(x= 4)=0

x=9 , x= -4

Answer:

-3 (x + 5x )(x + 36

Step-by-step explanation:

Answer:

B. Wyatt drove 25 miles East and then 25 miles in the opposite direction

Step-by-step explanation:

This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.

Answer:

B. Wyatt drove 25 miles east and then 25 in the opposite direction

Step-by-step explanation:

if you drive x amount of miles in one direction and then the oposite you return where you statred.

Answer:

13,200 feet

Step-by-step explanation:

5,280 x 2 1/2 = 13,200

Answer:

13200

Step-by-step explanation:

5280 / 2 = 2640

5280+5280+2640=13200

2640 is half of 5280, which means it is the 1/2 part.

Answer:

First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.

Answer:

Well I learned the tables when I was 5 or 6 years old.

Step-by-step explanation:

My mum checked me regularly.

I remember that green sheet with numbers...

Train your memory and tell your brain that you CAN do it...

The main thing is, don't give up!

Answer:

C is the answer

Step-by-step explanation:

Answer:

Its the third bubble

Step-by-step explanation:

Hope I helped you.

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9

Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

Answer:

Square

Step-by-step explanation:

6 * [tex]10^{8}[/tex] = 600,000,000

I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.

6. 0 0 0 0 0 0 0 0.

Answer:

Step-by-step explanation:

3995.996 to the nearest hundredth

9 is in the hundredths place

to the right is 6 and it is higher than 5

therefore it is 3996

[tex]6561m^{8}n^{3}[/tex]

Answer:

0.11111111111

Step-by-step explanation:

0.11111111111

Answer:

1/6

Step-by-step explanation:

1/3 times 1/3 is equal to 1/3^2

1 * 1/ 3*3

1/6

Answer:

17x+4

Step-by-step explanation:

Just Multiply the Expression:

15x+6+2x-2

17x+4

Answer: 17x+4

Step-by-step explanation:

Answer:

[tex]4 .68702\times 10^{ 3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Look below

Step-by-step explanation:

To figure whether a line is perpendicular or parallel check the slopes

When a line is parallel the slopes are the same

When a line is perpendicular the slopes are negative reciprocals

40. Neither (They aren't the same nor a negative reciprocal)

41. Neither (When you put y on the left it isn't a reciprocal)

42. Parallel (The slopes are both -3/2)

To do 43-44 make sure that the slopes are the same then plug in the points to to find the y-intercept (make sure you solve for b)

43. y = -4x - 1

44. y = 2x + 1

For 45-46 do the same thing, but make sure you change the slope to a negative reciprocal since its perpendicular

45. y = -3/2x-11

46. y = 1/4x+4

note: -2.5 is equivalent to the fraction -5/2

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Explanation:

For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.

The value 5 is two units away from both endpoints 3 and 7.

Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.

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The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.

Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.

Put together, the midpoint is located at (-6, -2.5)

If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.