what the answer to this math problem

Given:

Consider the given polynomial is:

[tex]x^3+4x^2+16x+64[/tex]

To find:

The complete factorization of the given polynomial.

Solution:

We have,

[tex]x^3+4x^2+16x+64[/tex]

Using grouping method, we get

[tex]=(x^3+4x^2)+(16x+64)[/tex]

[tex]=x^2(x+4)+16(x+4)[/tex]

[tex]=(x+4)(x^2+16)[/tex]

[tex]=(x+4)(x+4i)(x-4i)[/tex]         [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]

Therefore, the correct option is C.

Answer:

b) 31

Step-by-step explanation:

20 + 5 = 25

25 - 2 = 23

23 + 5 =28

28 - 2 = 26

pattern: add 5 then subtract 2

since we subtract last, we would add 5 on 26:

26 + 5 = 31

Answer:

31

Step-by-step explanation:

In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.

Hope it helped :)

Answer:

It should look like this

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Not true.  A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

Answer:

C

Step-by-step explanation:

Answer:

y=-x+1

Step-by-step explanation:

x+y=1

1. y needs to be by itself so you would subtract the x

2. y=-x+1

Answer:

75

Step-by-step explanation:

Answer:

5m+6

Step-by-step explanation:

Hello There!

We can simplify the given expression using distributive property

We can distribute the 2 to the m and - 3

2 * m = 2m

2 * -3 = -6

Now lets distribute the 3 to the m and the 4

3 * m = 3m

3 * 4 = 12

we´re left with

2m - 6 + 3m +12

our final step would be to combine like terms

2m + 3m = 5m

-6 + 12 = 6

so the simplified version would be

5m+6

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

Answer:

32

Step-by-step explanation:

One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

Answer:

x(x−8y)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = xx

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

than your answer is x(x-8y)

Answer:

i think it's 10%

Step-by-step explanation:

Answer:

no srry

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

26^2 + 12^2 = 18^2

676 + 144 = 324

820 = 324

Since 324 is smaller, this triangle is acute

Answer:

the first one is true, the third one is true, the fourth one is true, the fifth one is true

Step-by-step explanation:

the second one is false

Answer:

In the first rectangle,

one side =15*1=15

other side = 15* 3=45

in the second rectangle,

one side = 25*1=25

other side= 25*3=75

Step-by-step explanation:

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Answer:

Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it

Given:

The two linear equations are:

[tex]x+y=5[/tex]

[tex]y-2x=-4[/tex]

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

[tex]x+y=5[/tex]          ...(i)

[tex]y-2x=-4[/tex]        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting [tex]x=3,y=2[/tex] in (i), we get

[tex]3+2=5[/tex]

[tex]5=5[/tex]

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting [tex]x=3,y=2[/tex] in (ii), we get

[tex]2-2(3)=-4[/tex]

[tex]2-6=-4[/tex]

[tex]-4=-4[/tex]

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.

Answer:

123 cm²

Step-by-step explanation:

First of all, we need to know how exactly to find the area of a parallelogram.

Area of parallelogram= Base*Height

PARALLELOGRAM-

BASE= 17 ft

HEIGHT= 9ft

AREA= 17*9= 153 cm²

The area of parallelogram, will be considered as WHOLE AREA.

Now,

AREA OF MINI CAR-

length= 6 ft

Width= 5 ft

Area= 6*5= 30 ft ²

Square feet uncovere-

153 ft²- 30 ft²= 123 ft²

HOPE IT HELPS!

Answer:

tan x =  [tex]\frac{f}{e}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Step-by-step explanation:

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Answer:

x=2

Step-by-step explanation:

7x = 14

x = 14/7

x = 2

Answer:

2

Step-by-step explanation:

7x/7 = 14/7

x = 2

Answer: x squared equals y

Step-by-step explanation:

Answer:

68.8 hot dogs

Step-by-step explanation:

27.5 ÷ 4 = 6.875 per minute

6.875x10 = 68.75 hot dogs

Answer:

68.75 hotdogs

Step-by-step explanation:

lets say x = number of hotdogs

27.5/4 = x/10

use cross multiplication:

27.5 (10) = 4(x)

multiply

275 = 4x

divide both sides by 4 to isolate x

x = 68.75

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

Learn more about square root and cube root of a number here: https://brainly.com/question/9664917

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