Find the value of x.

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

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

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

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

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

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

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

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

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

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

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

Answer:

S₂₀₀ = 121800

Step-by-step explanation:

the sum to n term of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 12 and d = a₂ - a₁ = 18 - 12 = 6 , then

S₂₀₀ = [tex]\frac{200}{2}[/tex] [ (2 × 12) + (199 × 6) ]

       = 100(24 + 1194)

      = 100 ×1218

     = 121800

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

Answer:

a140 b10

Step-by-step explanation:

a x(all the pupil)×25%=35

x=140

b. 16:y=40:25

y=16×25/40=20

Answer:

Step-by-step explanation:

Answer:

i agree with the other anwser!!

Step-by-step explanation:

Answer:

The answer to the first question is

[tex]16.37[/tex]

The answer to the second question is D

Answer:

-4 and 7

Step-by-step explanation:

-4 + 7 = 3

-4•7 = -28

Answer:

It is a symbol used to denote an angle (or something else)

Step-by-step explanation:

Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.

It can be used as variable too, not necessarily for angles, but it's mostly used for them.

Answer:

63.62 inches squared

Step-by-step explanation:

The formula for the area of a circle is πr^2

r (Radius) is half of the diameter

r = 9/2

r = 4.5in

π x 4.5^2=

π x 20.25 = 63.6172512352

to 2 dp: 63.62 inches squared.

Answer:

The area of a plate with a diameter of 9 is 63.585

Step-by-step explanation:

A = πr²  use 3.14 as pi

r = [tex]\frac{1}{2}[/tex] d

[tex]\frac{1}{2}[/tex] × 9 = 4.5

r = 4.5

A = 3.14 × 4.5²

A = 3.14 × 20.25

A = 63.585

Hope this helps!

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

Answer:

8 7/20

Step-by-step explanation:

Converting both numbers to improper fractions :

4 3/5

⇒ (4 x 5/5) + 3/5

⇒ 20/5 + 3/5

⇒ 23/5

-3 3/4

⇒ - (3 x 4/4 + 3/4)

⇒ - (12/4 + 3/4)

⇒  -15/4

Take the LCM as 20 and convert :

23/5

⇒ 23/5 x 4/4

⇒ 92/20

-15/4

⇒ -15/4 x 5/5

⇒ -75/20

Now find the difference :

⇒ 92/20 - (-75/20)

⇒ 92/20 + 75/20

⇒ 92 + 75 / 20

⇒ 167/20

Now convert into a mixed number :

⇒ 167/20

⇒ 8 7/20

Find the difference

Answer:

2x + 7 = 3

2x = 3 - 7

2x = -4

2x/2 = -4/2

x= -2

Therefore the numbers are -2 and 7.

Answer:

350 dollars

Step-by-step explanation:

We're given:

First, find the total cost for student tickets:

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.

Answer:

  66/100 = 0.66

Step-by-step explanation:

You can solve for the question mark value as though it were any other variable, or you can recognize the relationship between the numbers in the proportion.

__

  33/50 = ?/100

  100(33/50) = ? = 66 . . . . . multiply both sides by 100

Then we know ...

  33/50 = 66/100 = 0.66

__

  [tex]\dfrac{33}{50}=\dfrac{\text{?}}{100}\\\\\dfrac{2\cdot33}{2\cdot50}=\dfrac{66}{100}=0.66[/tex]

_____

Additional comment

Both 66/100 and 0.66 are pronounced "sixty-six hundredths".

Answer:

66/100 = 0.66

Step-by-step explanation:

Guy above and my test.

Answer:

The answer to this question is letter choice E. 25%.

Step-by-step explanation:

Since 3/12 circles are shaded it would be the same as 25% or 1/4 if simplified.

Answer:

The y axis is the vertical line which goes up and down the x axis is the horizantal line which goes side to side or straight across

Step-by-step explanation:

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

Multiplication is the process of multiplying. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Since there is no tax for the first £11,000, therefore, the earnings upto £11,000 will be tax-free.

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Answer:

£8520

Step-by-step explanation:

Answer:

20000(.05)^x-750

Step-by-step explanation:

That's the equation for figuring out the population

Answer:

480 tiles

Step-by-step explanation:

First we will find the area of Nico's backyard

Formula for area of a rectangle is length * width

24ft * 20ft = 480ft²

This means Nico will need 480 1ft² tiles

That is your answer

- Kan Academy Advance

Answer:

Step-by-step explanation:

x = -5 and x = -12 are the solutions.

Looks like Keith's solution is the correct one  as he got as far as

x + 5 = 0 and x + 12 = 0.

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

The goat race is 324.25 meters longer than the ant race .

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1. Then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given below.

[tex]\rm f(x) = (x^2 - 9) (x +1)[/tex]

The function can be written as

[tex]\rm f(x) = (x^2 - 3^2) (x +1)\\\\\rm f(x) = (x - 3)(x+ 3) (x +1)[/tex]

If the factor of the function are (x - 3), (x + 3), and (x + 1). Then the zeroes of the function will be negative 3, 3, and negative 1.

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Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.

Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .

JK = √[(3−(−2))² + (7−3)²]

JK = √41

JK ≈ 6.4 units

KL = √[(3−6)² + (7−5)²]

KL = √13

KL ≈ 3.6 units

LM = √(1−6)² +(1−5)²]

LM = √41

LM ≈ 6.4 units

JM = √(1−(−2))² + (1−3)²]

JM = √13

JM ≈ 3.6 units

Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.

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Best examples

Boyles law

Current with resistance

Resistance with length of wire

Pressure with area

Answer:

$15.86

Step-by-step explanation: