1. Is x + 8 a factor of b(x) = x3 + 18x2 + 80x? Determine using synthetic
division. Explain how you know it is or isn't.

Given:

Number of winter coats = 2

Number of hats = 4

Number of scarves = 3

To find:

The total number of different outfit combinations.

Solution:

Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.

Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.

Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.

So, the total number of ways is:

[tex]2\times 4\times 3=24[/tex]

Therefore, Helen have 24 different outfit combinations.

Answer:

look at the picture i sent......

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

Answer:

I believe the answer is D.

Step-by-step explanation:

Hope this helps Have a great day :)

Answer:

3/4 of 5

= 3/4 × 5

= 15/4

= [tex]3\dfrac{3}{4}[/tex]

Answer:

Geometric Sequence.

Step-by-step explanation:

We are told that the square is split into 4 similar squares. One of the new squares is now split into fourths again and this same sequence is repeated over again.

This means that there is a common ratio which is ¼.

Since there is a common ratio and not common difference, this sequence is said to be a geometric sequence.

Answer:

he made a big error

Step-by-step explanation:

we know that

1 ft--------> is equals to 12 in

the ramp is 12 inches tall----------> 1 ft tall

A ramp measures------------------>  6 ft long

applying the Pythagorean theorem

c²=a²+b²

where

c-----> 6 ft long

a----> horizontal distance

b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is

5.92 ft

Answer:

6.08 or so

Step-by-step explanation:

The height is 1 foot, while the length is 6 feet.

You can use the Pythagorean Theorum to solve this, as you plug in the values.

The theorum states that A squared plus B squared = C squared, where A is  the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)

So if we plug in the values:

1 squared plus 6 squared = C squared.

1 + 36 = 37

Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.

So usually we round to the hundredths place, so we can use 6.08.

Answer:

8,5 feet

Step-by-step explanation:

The equation of the form

x² + y² = (r)²

Is the equation of the circumference

We have for the pool:

x²  +  y²  = 2500      ⇒  x²  +  y²  = (50)²

And for the outside edge of the footpath

x²  +  y²  = 3422,25  ⇒  x² + y²  = (58,5)²

So we obtain the radius of each circumference

For the outside edge of the pool  r₁  = 50 feet

For the outside edge of the footpath r₂ = 58,5  feet

Then the width of the footpath is  58,5  - 50  =  8,5 feet

Answer:

X³ – 3x² – 9x – 5

= x³ + x² – 4x² – 4x – 5x – 5

= x²( x + 1) – 4x ( x + 1) – 5(x + 1)

= (x + 1)(x² – 4x – 5)

= (x + 1)(x² -5x + x – 5)

= (x + 1)(x – 5) (x + 1)

hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .

Was this answer helpful?

Answer:

See the Answer Below:) I am certain this is the answer

Step-by-step explanation:

Answer:54

Step-by-step explanation: 2*3*9=54

Answer:

Step-by-step explanation:

[tex]1[/tex]

Answer:

B

i don't know how to explain what i did correctly but the answer is B

Answer:

D.

Step-by-step explanation:

x + 3 is 3 more laps

≥ 12 means at least 12.

Answer:

8x + 4

Step-by-step explanation:

4(2x+1)

4*2x + 4*1

8x + 4

Answer:

[tex]\text{B. }240}[/tex]

Step-by-step explanation:

[tex]\binom{4}{1}\cdot\binom{5}{1}\cdot \binom{12}{1}=\boxed{\text{B. }240}}[/tex]

(Multiplying each of the numbers also yields 240)

Answer:

The answer is C: 16, 32, 48, 64

Step-by-step explanation:

The multiples of 16 are:

16x1= 16

16x2=32

16x3=48

16x4=64

Answer:

d = 18, c = 56.55

Step-by-step explanation:

Solution

d=2r=2·9=18

C=2πr=2·π·9≈56.54867

Answer:

Answer below. Hope it helps.

Step-by-step explanation:

a. 2x + (x - 6)    {x = 14}

= 2*14 + (14 - 6)

= 28 + 8

= 36

b. n² + n + 1    {n = 8}

= 8² + 8 + 1

= 64 + 9

= 73

c. (r - 10) (r + 2)    {r = 13}  

= (13 - 10) (13 + 2)

= 3 * 15

= 45

Answer:

32!

Step-by-step explanation:

area of a triangle is bh/2

the base and height are the same (8)

8*8 is 64

64 ÷ 2 is 32

Answer:

9

Step-by-step explanation:

You divide 3 by 4 first and you'll get the anser 0.75, then multiply it by 12.

Answer:

sin A = 13/85

Step-by-step explanation:

Opposite Angle A is side BC, of length 13.  The length of the hypotenuse is 85.  The sine function is defined as the ratio opp/hyp.  In this problem that ratio is

opp

------ = sin A = 13/85

hyp

We use the inverse sine function arcsin x to determine Angle A:

A = arcsin 13/85 = 8.8 degrees

Answer:

Sin(A) = [tex]\frac{13}{85}[/tex]

Step-by-step explanation:

Sin ratio = [tex]\frac{opposite}{hypotenuse}[/tex] (according to the given or asked angle)

Sin (A) = [tex]\frac{13}{85}[/tex]

Hope this helps!

Answer:

e= 2.718281828459........

Answer:

he told u so ya

Step-by-step explanation:

Answer:

£114

Step-by-step explanation:

total price of the tv = cost + tax

tax = o.2 x 1200 = 240

total price = 1200 + 240 = 1440

monthly payment = 1/10 x (1440 - 300) = 114

Step-by-step explanation:

[tex] ( - 2x + 4) - ( - {x}^{2} + 4x + 5) = {x }^{2} - 6x - 1[/tex]

Answer:

B

Step-by-step explanation:

its a right angle and one point is 40 as shown already so 90-40=50 hope this helps

So you would take your 90° angle which is the box on the bottom right hand corner and add 40° which would equal 130° and then you would subtract 180° -130° and you would get 50°.

Answer: Acres he can plant with the remaining seeds

Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome

Answer:

the answer is D.