Complete the table for the equation below

Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

Don't forget to follow narin ty

Step-by-step explanation:

Here is the solution hope it helps:)

Answer:

25.15

Step-by-step explanation:

the 25 comes before the 18 in the sentence. super easy

Answer:

2x + 7 = 3

2x = 3 - 7

2x = -4

2x/2 = -4/2

x= -2

Therefore the numbers are -2 and 7.

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent

The coordinates are given as:

V = (3,6)

N = (8,1)

H = (1,-1)

Calculate the distance between each point using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]VN = \sqrt{(8 -3)^2 + (1 -6)^2}[/tex]

[tex]VN = \sqrt{50}[/tex]

[tex]VH = \sqrt{(1 -3)^2 + (-1 -6)^2}[/tex]

[tex]VH = \sqrt{53}[/tex]

[tex]NH = \sqrt{(8 -1)^2 + (1 +1)^2}[/tex]

[tex]NH = \sqrt{53}[/tex]

Notice that two sides of the triangle are equal.

Hence, the triangle VNH is an isosceles triangle

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Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

our original equation is

y = x² - 6x + 17

and now we simply compare the cording parts :

ax² = x²

a = 1

-2ahx = -2hx = -6x

-2h = -6

h = -6/-2 = 3

ah² + k = 17

3² + k = 17

9 + k = 17

k = 8

so the vertex form is

y = (x - 3)² + 8

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

given f(x) = 6x - 6 and f(x) = 36 , then equating gives

6x - 6 = 36 ( add 6 to both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]

Step-by-step explanation:

[tex]6x^{4} + 15x^{2} + 24x[/tex]

↓

[tex]3x(2x^{3} + 5x + 8)[/tex]

The factored expression is 3x(2x³ + 5x + 8).

To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.

Step 1: Find the GCF of the coefficients (numbers).

The GCF of 6, 15, and 24 is 3.

Step 2: Find the GCF of the variables (x terms).

The GCF of x⁴, x², and x is x.

Step 3: Combine the GCF of the coefficients and variables.

The GCF of the entire expression is 3x.

Now, factor out 3x from each term:

3x * (2x³ + 5x + 8)

The factored expression is 3x(2x³ + 5x + 8).

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Answer:

300

Step-by-step explanation:

TR(n)= n*(n+1)

               2

TR(300)=300*(300+1)

                        2

TR(299)=299*(299+1)

                       2

45150-44850=300

One way to solve is to find TR(300) and TR(299) and then find the difference in between them.  

Answer:

nCr = 14!/3!11! =364

Step-by-step explanation

Answer:

-10.95 hope it helps so yeah and if it's wrong sorry

Answer:

10.95

Step-by-step explanation:

When solving a problem like this you can just take the decimals then add then back at the end for example. ...

7,000

-

5,905

_______

1,095

Then, add the decimal back in its original spot to give you 10.95

Hope this helps!

Answer:

[tex] \longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2} [/tex]

[tex] \longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x[/tex]

[tex] \longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}[/tex]

--------- HappY LearninG <3 --------

Answer:

Total Area = 24830.437[tex]m^{3}[/tex]

Step-by-step explanation:

This will be using different AREA formula to find the inner area amount

The image is color coded to each shape area

Let me know if you have any questions !

Hope this helps :)

Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

[tex]Hypotenuse^2=opposite^2-adjacent^2[/tex]

[tex]Hyp^2=opp^2+adj^2[/tex]

[tex]Hyp=\sqrt{42.8}[/tex] [tex]yards[/tex]

[tex]Opp=\sqrt{11}[/tex] [tex]yards[/tex]

[tex]Adj=?[/tex]

[tex]Adj^2=Hyp^2-opp^2[/tex]

[tex]=(\sqrt{42.8} )^2-(\sqrt{11} )^2[/tex]

[tex]=42.8-11[/tex]

[tex]=31.8[/tex] → [tex]32[/tex]

[tex]Adj^2=32[/tex]

[tex]Adj=\sqrt{32}[/tex]

= 5.66 yards

Answer:

The answer is y=4x-2

Step-by-step explanation:

Step-by-step explanation:

3x-2y

3*(-3)-2*(-5)

-9+10

1

3(-3) - 2(-5)

-9 + 10

1

Answer:

78 sq. units

Step-by-step explanation:

1/2 × (7+19) × 6 = 78

Answer:

10 1/8 years?

I hope this is right!

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

Answer:

I believe the answer is 10

Step-by-step explanation:

4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.

Answer:

x = 12.5

Step-by-step explanation:

f(18)=2x-7

18+7=2x

25=2x

x=12.5

Give brainiest please!

Hope this helps :)

Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15

Step-by-step explanation:

explanation to 9:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.

The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².

What is surface area?

To calculate the surface area of the cone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The surface area of the right cone is 47.1 m².

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