Round 14,456 to nearest ten

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

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Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  [tex]y=m(x-x_{1} )+y_{1}[/tex]

y=2(x-(5))+(-2)

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

Answer:

x = 60°

Step-by-step explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs  that are intercepted.

Therefore:

[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]

[tex] x = \frac{1}{2}(240 - 120) [/tex]

[tex] x = \frac{1}{2}(120) [/tex]

x = 60°

Answer:$310

Step-by-step explanation:

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Answer:

-7 degrees celsius

Step-by-step explanation:

12-19=-7

Answer:

-7

Step-by-step explanation:

12 - 19 = -7

Answer:

c

Step-by-step explanation:

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]

[tex]\implies x^2 - 12x + 24 = 0[/tex]

[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]

[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]

[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]

where;

[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]

∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

           Volume = Length × Width × Height

Given in the question,

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]

[tex]x=(6\pm2\sqrt{3})[/tex]

[tex]x=9.46,2.54[/tex]

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

Learn more about the volume of a cuboid here,

https://brainly.com/question/25395659?referrer=searchResults

Answer: I need a picture to find out ;-;

Step-by-step explanation:

Answer:

if youre asking for the equation its AB=CD

Step-by-step explanation:

If youre not, you'll need to attach a file or smth :'D

Answer:

The answer is A, 3.50w.

Step-by-step explanation:

When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

5

Simply add 3 and 2. You dont need to worry about the 50.

Or, complete 2x50 and 3x50

Now you would have 100 and 150.

Then add them to get 250.

Finally, divide 250 by 50.

Your answer should be 5

Answer:

40 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

x²=5x

x=5... probably c

Answer:

I am thinking that it is A and C

Step-by-step explanation:

If I am right may I get a brailiest

If I am wrong I am so very sorry

Answer:

The amount of weight added is 26,729.7 pounds

Step-by-step explanation:

Here, we are told that a gallon of water weighs 8.34 pounds

Now, we want to find the weight of 3,205 gallons of water

Mathematically, that would be;

3,205 * 8.34 = 26,729.7 pounds

Answer:

y = -6x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   12x + 2y = -12

Step 2: Rewrite in slope-intercept form

Answer:

3. markup: $150

selling price: $300

4. markup: $19.20

selling price: $67.20

5. markup: $55

selling price: $165

6. markup: $90

selling price: $450

7. markup: $3.75

selling price: $16.25

8. markup: $7.14

selling price: $27.54

Step-by-step explanation:

To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:

3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:

100% = 1

150 * 1 = 150

The markup is 150.

To find the selling price we add the markup to the initial value:

150 + 150 = 300

The selling price is 300.

I applied this method to all of the questions.

Answer: 25

               2

Step-by-step explanation:

900 - 400 = 500 = 25

  50 - 10 =     40=    2        

You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.  

52/7 = 260/35

18/5 = 126/35

Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

For more about the linear function,

brainly.com/question/21107621

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9514 1404 393

Answer:

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

Answer:

5,6 meaning the answer is 4

Step-by-step explanation: