20 Points.........................

A polynomial has a leading coefficient of 1 and the following roots. What is the factored form of the polynomial?

3, Sqrt 3

A. g(x)= (x- 3) (x- sqrt(3)) (x+ sqrt(3))
B. g(x) = (x + 3) (x- sqrt(3)) (x+ sqrt(3))
C. g(x) = (x- 3) (x- sqrt(3))
D. g(x) = (x + 3) (x+ sqrt(3))

9514 1404 393

Answer:

Step-by-step explanation:

Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)

3 ounces of peanuts to 2 ounces of almonds can be written as ...

  peanuts : almonds = 3 : 2 = 3/2 = 1.5

Answer:

The simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].

Step-by-step explanation:

Simplify the fraction as shown:

[tex]\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }[/tex]

Take the LCM.

[tex]\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }[/tex]

Simplify,

[tex]\frac{xy-x}{y} \times\frac{x}{xy-y}[/tex]

[tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex]

Hence, the simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].

Answer:

a: 25200

b: -450

c: 56

d: 0<t<56

e: 0<t<25200

9514 1404 393

Answer:

  your marked choice is correct: x = e

Step-by-step explanation:

For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.

The slope of ln(x) is 1/x, so we require ...

  ln(x)/x = 1/x

  ln(x) = 1 . . . . . . multiply by x

  x = e . . . . . . . . take antilogs

Answer:

f(1) = 1

Step-by-step explanation:

To evaluate a function, you see the y value it gives when you plug in the x value.

When you plug in 1 for the x value, the y value is also 1, so f(1) = 1

Answer:

Irrational Number

Step-by-step explanation:

The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.

Hope this helps (:

Answer:

Irrational number

Step-by-step explanation:

i had it on khan academy

Answer:

6

Step-by-step explanation:

3 3/7 * 1 3/4

~Turn into improper fractions

24/7 * 7/4

~Multiply both numerators and denominators.

168/28

~Simplify

6

Best of Luck!

Answer:

Question 1: 20,160 cookies

Question 2: 37,600 letters

Question 3: 252,396 squares on each tablecloth

Question 4: 138,762 points

Question 5: 4,652,352 shrimp

Step-by-step explanation:

Question 1: Multiply 315 and 64 to get amount of cookies

Question 2: Multiply 940 and 40 to get the number of letters

Question 3: Multiply 36 and 7,011

Question 4: Multiply 26 and 5,337 to get the number of points

Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.

:)

Answer: 1/3^7

Step-by-step explanation:

Answer:

56 possible different subcommittees

Step-by-step explanation:

This is a combination problem.

In combination probability, the formula is;

nCr = n!/((n - r)! × r!)

Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.

Thus, the different subcommittees possible is given by;

8C3 = 8!/((8 - 3)! × (3!)) = 56

Thus, there are 56 possible different subcommittees

Answer:

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

[tex] A = l*w [/tex]

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

[tex] \frac{dl}{dt} = 1 \frac{m}{d} [/tex]

And the width is decreasing at a rate:

[tex]\frac{dw}{dt} = -2 \frac{m}{d}[/tex]

The change in the rectangle's area is the following:  

[tex] \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} [/tex]

When the length is 8 meters and the width is 18 meters we have:

[tex] \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) [/tex]

[tex] \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} [/tex]

[tex] \frac{dA}{dt} = 2 \frac{m^{2}}{d} [/tex]

Therefore, the area is changing at 2 m² per day.

I hope it helps you!                  

Answer:

Step-by-step explanation:

Answer:

12+-8=4

Step-by-step explanation:

this would be that same as 12-8=4, just keep the numbers but flip the negative into a positive number then change the equation into a subtraction problem if this confuses you.

Answer:

1/4

Step-by-step explanation:

15 - 3 = 12

3 : 12

1 : 4

In its most basic form, the debate team's male-to-female ratio is 1/4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

given, There are 15 students on the debate team. Of these, 3 are boys.

Since there are 3 boys out of 15

Thus,

Number of girl = 15 - 3

Number of girls = 12

Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.

thus,

The ratio of boys to girls = 3/12

the Ratio of boys to girls = 1/4

therefore, the ratio of boys to girls on the debate team in simplest form is 1/4.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Answer:

5 / 2 inches OR 2.5 in

Step-by-step explanation:

3 ft 9 in = 45 inches

45in/18 books

5 in / 2 book

Answer:

The answer is c. 5 5/8.

Step-by-step explanation:

Its c because your supposed to multiply them. When you multiply them you get 5 5/8. Hope this helped,have a great day!

Answer:

(0,2)

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

Answer:

I need help with this!!!!!

Step-by-step explanation:

The other person said 12 but how what if its not. ?

Answer: tenths

Step-by-step explanation:

Answer:

TENTHS

Step-by-step explanation:

Answer:

1/500

Step-by-step explanation:

Answer:

1/5 i think

Step-by-step explanation:

The x-values could be 1,3,1,3 because this would eliminate it fom being a function.

Answer:

9

Step-by-step explanation:

-2a + b

-2 (-7) + -5

14 + -5

9

Answer:

87.50

Step-by-step explanation

Answer:

[tex]WX = 83[/tex]

[tex]WY = 119[/tex]

[tex]XY = 36[/tex]

Step-by-step explanation:

Given

[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]

Required

Determine the values of WX, XY and XY

Since X is between W and Y, we have:

[tex]WY = WX + XY[/tex]

[tex]6y - 25 = 3y + 11 + y + 12[/tex]

Collect Like Terms

[tex]6y - 3y - y = 25 + 11 + 12[/tex]

[tex]2y = 48[/tex]

Solve for y

[tex]y = 48/2[/tex]

[tex]y = 24[/tex]

Substitute 24 for y in

[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]

[tex]WX = 3 * 24 + 11[/tex]

[tex]WX = 83[/tex]

[tex]WY = 6 * 24 - 25[/tex]

[tex]WY = 119[/tex]

[tex]XY = 24 + 12[/tex]

[tex]XY = 36[/tex]

Answer:

Tanya's height at age of 9 is 53.75 inches

Step-by-step explanation:

Tonya's age (yr.)     Tonya's height (in.)

3                                        36.8

4                                         40

5                                       41.25

6                                        45

7                                        48.0

8                                       51.5

Tanya's height at the age of 8 = 51.5

We are given that Tonya grew 2.25 more inches before her 9 year height was recorded.

So, Tanya's height at age of 9 = 51.5+2.25

Tanya's height at age of 9 =53.75 inches

Hence Tanya's height at age of 9 is 53.75 inches

Answer:

m = − 4

Step-by-step explanation:

Use the slope formula to find the slope  m

Hope this helps :)

Answer:

350 and is not

Step-by-step explanation:

just took the test

Answer:350 and is not

Step-by-step explanation:

Answer:

Im a be honest it either 203 or 205 Im leaning towards 205

Step-by-step explanation: