Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0

Answer: x-intercept(s):  

(-13/6,0)

y-intercept(s):

(0,13)

Step-by-step explanation:

Answer:

25 π /12  radians

Step-by-step explanation:

To convert degrees to radians, multiply by  π /180 , since a full circle is  

360  or  2 π  radians.

Cancel the common factor of  15  

Factor  15  out of  375

15 (25).  π/ 180  radians

Factor  

15  out of  180  

15.  25 ⋅ π/ 15 ⋅ 12  radians

Cancel the common factor.

15

⋅ 25 ⋅ π/ 15 ⋅ 12  radians

Rewrite the expression.

25 ⋅ π/ 12  radians

Combine  

25  and   π /12  

25 π /12  radians

Answer:

64 is a multiple of 2 | 64 is a composite

Step-by-step explanation:

Composite numbers are even numbers

2x32 =64

2+2+(Do it 32 times)

Answer:

the answer is 2 1/2

Step-by-step explanation:

I don't know I just do lol

theres no answer for it

no they are not equal

24= 2 tens 4 ones

42= 4 tens 2 ones

hence they are not equal

hope this helps and pls mark brainliest I just need 1 more to progress on to the next level:)

Answer:

no not at all

Step-by-step explanation:

not the same number

Respuesta:

T₁₀ = 1/16

S₁₀ = 63,9375

Explicación paso a paso:

Dado el término de un médico de cabecera como 32, 16, 8, 4 ...

El enésimo término de un médico de cabecera se expresa como;

Tn = arⁿ⁻¹

a es el primer término

r es la razón común

n es el número de términos

Dado

a = 32

r = 16/32 = 8/16 = 4/8 = 1/2

n = 10 (ya que necesitamos el décimo término de la secuencia)

Sustituir en la fórmula;

Tn = arⁿ⁻¹

T₁₀ = 32 (1/2) ¹⁰⁻¹

T₁₀ = 32 (1/2) ⁹

T₁₀ = 32 (1/512)

T₁₀ = 32/512

T₁₀ = 1/16

Por lo tanto, el décimo término de la secuencia es 1/16.

La suma de un GP se expresa como se muestra;

Sₙ = a (1-rⁿ) / 1-r para r <1

S₁₀ = 32 (1- (1/2) ¹⁰) / 1-1 / 2

S₁₀ = 32 (1-1 / 1024) / 1/2

S₁₀ = 64 (1 - 1/1024)

S₁₀ = 64 (1023/1024)

S₁₀ = 63,9375

por lo tanto, la suma de los primeros diez términos es 63,9375

Answer:

7

Step-by-step explanation:

Mean is all of your numbers added up and then divided by the amount of numbers in total there are. So 2+4+6+9+14 = 35 35÷5 = 7

Hope this helped <3

Answer:

68 minutes, 1 mile every 8.5 minutes

Step-by-step explanation:

:)

Hello!

Lets tackle each section separately!

So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.

To find how many apples that is in standard form, we divide 40 by 8.

40 ÷ 8 = 5.

So the first group ate 5 apples.

The second group ate 4 apples.

We do not have to calculate anything since it is already in standard form.

The third group ate 20% of the apples.

To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.

40 × 0.20 = 8.

The last group of children ate 8 apples.

Now we add each groups apple intake together.

5 + 4 + 8 = 17.

Finally, we subtract 17 from 40.

40 - 17 = 23.

There were 23 apples left.

waffletowne

Answer:

B  z = 0.9

Step-by-step explanation:

1/3(6z + 7.2) = 0.5(8z + 2) - 0.4

Multiply both sides by 6.

12z + 14.4 = 24z + 6 - 2.4

-12z = -10.8

z = 0.9

Answer:Total number of students=6000 students

Step-by-step explanation:

Number  of female students =2640

Percentage of female students=44%

But

Percentage of female students x Total number of students =Number  of female students

Therefore

Total number of students=Number  of female students / Percentage of female students

Total number of students=2640/44% =6000 students

Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer: x=0.25

Step-by-step explanation: 1−8x=−16x2

Simplify both sides of the equation.

−8x+1=−16x2

Subtract -16x^2 from both sides.

−8x+1−−16x2=−16x2−−16x2

16x2−8x+1=0

16x2+−8x+1=0

Use quadratic formula with a=16, b=-8, c=1.

x=

−b±√b2−4ac

2a

x=

−(−8)±√(−8)2−4(16)(1)

2(16)

x=

8±√0

32

x=0.25

Answer:

8

Step-by-step explanation:

10 plus 6 is 16

divide by 2

you get 8

Answer:

15) x = 20

16) y = 45°, z = 30°

17) all 4 corners = 90°, all 4 sides are equal length, diagonals are perpendicular, diagonals bisect the corner angles.

We can't do the extra credit because we do not have a relationship about the side lengths. We just have angle information.

Step-by-step explanation:

15) 2x + 8 = 3x - 12

x = 20

16) 2y = 90°

y = 45°

3z = 90°

z = 30°

asdasdasdsadasasdasd

Answer:

21 ft

Step-by-step explanation:

Tan(32) = x/34

34tan(32)=x

x= 21.245...

x=21

Find the circumference of the circle:

Circumference = 2 x r x pi

Circumference = 2 x 200 x 3.14

Circumference = 1,256 feet.

4 inches/ 12 inches per foot = 0.333 ft.

Divide the circumference by the spacing:

1255/0.333 = 3,768

You will need 3,768 flowers

Answer:

75

Step-by-step explanation:

i hope

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

__

The graph is stretched by the factor according to how it is applied.

Answer:

AN = 9

Step-by-step explanation:

so we can imagine this in a line like:

A---------------N---------------X

Step 1 : solve for x

AX=21 (our total)

because we know that AN+NX together makes AX, we put that into an equation

AN + NX = AX

(2x+1) + (3x) = 21

2x + 1 + 3x = 21  <-- subtract 1 from both sides

2x + 3x = 20  <-- add 2x +3x

5x = 20   <-- divide 5 from both sides

x = 4

Step 2 : input x into AN

AN = 2x + 1  <-- input 4 for x

AN = 2(4) + 1  <-- simplify from there

AN = 9

Answer:

It’s polyhedron prism and solid

Step-by-step explanation:

It’s polyhedron prism and solid

The given figure is a polyhedron, solid and a prism.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

The given figure in the question is a triangular prism and also a polyhedron having six surfaces connected together by edges and vertices.

Therefore the given figure is a polyhedron, solid and a prism.

To know more about Polyhedrons follow

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Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

To learn more about the inequality visit:

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Answer:

10.7 m

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 6,420 m/s

The frequency of the wave, f = 600 Hz

We need to find the wavelength of the wave. We can find it using the below relation as follows :

[tex]v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m[/tex]

So, the wavelength of the sound wave is equal to 10.7 m.

Answer:

[tex] - 5x - 7x + 2x + 3 - 8 \\ - 12x + 2x - 5 \\ - 10x - 5[/tex]

Answer:

-10x - 5

Step-by-step explanation:

-5x - 7x + 3 + 2x - 8

= -5x - 7x + 2x + 3 - 8

= -10x - 5

Answer:

Just a mirror image of the triangle over the y-axis.

Step-by-step explanation:

The y coordinates remain the same but x coordinates become positive when triangle is reflected over y-axis.

Answer:

(-6 , 5)

Step-by-step explanation:

6x + 10y = 14

6(-6) + 10y = 14

-36 + 10y = 14

10y = 50

y = 5