Use the grouping method to factor the polynomial below completely.
x3 + 2x2 + 3x + 6
A. (x2 + 2)(x+3)
B. (x2 + 3)(x+3)
C. (x2 + 2)(x + 2)
D. (x + 3)(+ 2)

Answer: Answer in the photo

Step-by-step explanation:

Answer:

12.91

Step-by-step explanation:

find the square roots ;

10.39 + 11.18 - 8.66 = 12.91

Answer:

is 8 porque s mi nose maje

The probability that Laura will go first and Andy second is 1/210

Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

[tex] \boxed{d = -2} [/tex]

Step-by-step explanation:

[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]

Answer:

infinite solutions

Step-by-step explanation:

Given the 2 equations

y = 6x - 3 → (1)

12x - 2y - 6 = 0 → (2)

Substitute y = 6x - 3 into (2)

12x - 2(6x - 3) - 6 = 0 ← distribute and simplify left side

12x - 12x + 6 - 6 = 0

0 = 0

This solution 0 = 0 indicates that any value of  x is a solution

Thus there are an infinite number of solutions to the system

Answer:

C.) Third graph

Step-by-step explanation:

BeCaUsE i KnOw :P

answer: $1,012.50

Step-by-step explanation:

12.5 ÷ 100 = 0.125

0.125 × 800 = 100

800 + 100= 900 ( half-yearly interest)

0.125 × 900 = 112.5

900 + 112.5 = $1,012.50 ( end of first year interest)

Answer:

c=face. b=vertex. a=line

Step-by-step explanation:

Answer:

a= edge   b=vertex    c=face

Step-by-step explanation:

Answer: £208,000

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original price

r = increase rate (decimal form)

t= years  (2015-2010 =5 years)

A = price after t years

Replacing with the values given:

265,000 = p (1+ 0.05)^5

Solving for p

265,000 = p (1.05)^5

265,000 = p (1.05)^5

265,000/ (1.05)^5 =p

p =  £207,634. =208,000 (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer:

208,000

Step-by-step explanation:

Answer:

ES IGUAL A 15

Step-by-step explanation:

Answer:

C. the average total cost for the first month of a gym membership

Step-by-step explanation:

x=1 is for month 1,

the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership

Answer:E

Step-by-step explanation:

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

Answer:225,000

Bshshsjjdjdnfnjfkf

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

Answer:

Domain: ∞

Range: y ≥ -4

Step-by-step explanation:

The domain of any quadratic function is always infinite or ∞. The range ends where the minimum value is or the maximum value depending on which way the parabola is facing- upward or downward.

Answer:

c find the value

Step-by-step explanation:

plz workout

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

Answer:

k = 8

Step-by-step explanation:

You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

First, add 62 from both sides:

8k - 62 = 2

8k - 62 (+62) = 2 (+62)

8k = 2 + 62

8k = 64

Next, divide 8 from both sides:

(8k)/8 = (64)/8

k = 64/8

k = 8

8 is your answer for k.

~

Answer:

70°

Step-by-step explanation:

∠A =112°,

Exterior angle to angle B is 2x, therefore ∠B = 180 -2x (angle on straight line)

Exterior angle to angle C is 2x + 12, therefore ∠C = 180 -(2x +12) (angle on straight line) = 180 - 12 -2x = 168 - 2x

∠A + ∠B + ∠C = 180 (sum o angles in a triangle)

112 + 180 - 2x + 168 - 2x = 180

460 - 4x = 180

4x = 460 - 180 = 280

x = 280/4 = 70

x = 70°

Answer:

70º

Step-by-step explanation:

i took the test

Answer:

30°

Step-by-step explanation:

Complementary is they add up to 90°

90° - 60° = 30°

Answer:

30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.   Thus, 60 and (complementary angle) = 90 degrees.  Thus, the angle that is complementary to 60 degrees is 30 degrees.

Answer:

[tex]56.55[/tex] [tex]in[/tex]

[tex]254.47[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=18\pi[/tex]

[tex]C=56.54866776[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi(9)^{2}[/tex]

[tex]A=81\pi[/tex]

[tex]A=254.4690049[/tex]

Answer:

Is this correct

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

AC = 10

Step-by-step explanation:

AC+ BC =AB

If C is the midpoint then AC = BC

AC + AC = 20

2 AC = 20

Divide by 2

2AC /2 = 20/2

AC = 10

Answer:

AC=10

Step-by-step explanation:

If a-------c-------b and AB=20 and C is the midpoint, then half of 20 would be 10.

Answer:

C. 3√3

Step-by-step explanation:

Remember your 30-60-90 triangle rules.

They give you 3 as a side in the 30-60-90. That side length 3 will be your x. The side opposite of it is x√3. Simply plug in 3 as it is x and you should get 3√3 as your answer.

Answer:

C

Step-by-step explanation:

In all 30 60 90 triangles, the side opposite the 60 degree angle will be the short leg times [tex]\sqrt{3}[/tex]

So, the length of that side in this triangle will be 3[tex]\sqrt{3}[/tex]

Answer:

Point Y (4, -1) lies on the circle.

Step-by-step explanation:

Distance = √[(x2-x1)² + (y2 - y1)²] = √[(4-1)² + (-1-(-5))²] = √[3² + 4²]= √25 = 5

Point Y (4, -1) lies on the circle, because the distance from the center to this point equals radius of the circle.

Answer:

On the circle

Step-by-step explanation:

Answer:

Jenny needs £8 extra to buy the tiles.

Step-by-step explanation:

Jenny's kitchen floor is in the form of trapezoid.

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                [tex]=\frac{1}{2}(2.5+1.5)14[/tex]

                               = 28 meter²

One pack of tiles covers the area = 3 meter²

She needs the number of packs of tiles =  [tex]\frac{\text{total area }}{\text{area covered by one pack of tile}}[/tex]

[tex]=\frac{28}{3}[/tex]

= 9.33

Therefore, she has to purchase 10 packs of tiles.

Since the price of one pack of tiles = £14.40

Price of 10 packs of tiles = 14.40 × 10

                                                = £144

Price after using discount card of 25% = 144 -(25% of 144)

                                                                = 144 - (0.25 × 144)

                                                                = 144 - 36

                                                                = £108

Jenny has £100, so she needs £8 extra to buy the tiles.

Answer:

Step-by-step explanation:

<2=180-(1+B)

<3=180-(4+D)

trg ACB=trgACD(<2=<3, AC =AC, <1=<4

ASA