Mathematics College

If a polynomial function f(x) has roots 3 + sqrt5 and -6, what must be a factor of f(x)?

Answers

Answer 1

Answer:

(x - (3 - √5))

Step-by-step explanation:

If there are roots:

3 + √5 and - 6, then another root should be 3 - √5

So we would have factors of:

f(x) = (x - (3 - √5))(x - (3 + √5))(x + 6)

Correct choice including the third factor is B

Answer 2

If a is a factor of f(x)

Then

(x-a)=0

So if a=3+√5 and -6

The expression is

(x-(3-√5))(x-(3+√5))(x+6)=0

Option B

Related Questions

Help pls I’ll give extra points and brainlist

Answers

Answer:

Step-by-step explanation:

Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a great hooman!!!!

Sarah rode her bike 54km in 4hours what’s her average speed?

Answers

Answer:5.4 km

Step-by-step explanation:

What answer do you get when you solve 0.4(2a-0.3b)

Answers

Answer:

0.8a-0.12b

Step-by-step explanation:

Use the distributive property:

0.8a-0.12b

Which of the following are point-slope equations of the line going through (-3,-5) and (2,4)

Answers

Answer:

y+5 = 9/5(x+3)

y - 4 = 9/5(x-2)

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 4- -5)/(2 - -3)

= ( 4+5)/(2+3)

= 9/5

Then using the point slope form

y -y1 = m(x-x1) where x1 and y1 are a point on the line

y - -5 = 9/5(x- -3)

y+5 = 9/5(x+3)

or using the other point

y - 4 = 9/5(x-2)

Fine the length of segment x.

Answers

Answer:

Step-by-step explanation:

12+4=16

16-6=10

easy

BRAINLIEST if correct NO LINKs

Answers

Answer:

just divide its simple

Step-by-step explanation:

from the left triangle (70) to the right triangle (23) it is a reduction of .329

plzzz help for a brainly

Answers

Answer:

Step-by-step explanation:

A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color

Answers

Answer:

12 balls

Step-by-step explanation:

take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways

What are permutation and combination?

Permutation is way of selecting and arranging things while combination is way of selecting things .

here, we have,

Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls

we have to select 6 balls

it's given that there must be 2 balls of each color

So here's how we can select them

2 white balls ,2 yellow balls and 2 red balls

So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls

so number of ways of selecting

4C2 * 2C2 * 5C2

=6*15*10

=900

If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways

To learn more about combination visit :

brainly.com/question/25821700

#SPJ3

Clearly mark on the coordinate plane the location of the ordered pairs and
identify what quadrant they are in.

J (4,0) quadrant ________ and M(-2,-3) quadrant ___________

Answers

Answer:

Point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

Step-by-step explanation:

A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.

Here, coordinate axes are [tex]x-[/tex]axis and [tex]y-[/tex]axis.

Let's first mark the points in the coordinate plane.

See the attached figure.

From the figure, it can be observed that point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the

Pythagorean Theorem to approximate the distance between the rods where they meet the backboard. Round your answer to the nearest

hundredth.

Answers

Answer:

9.14 inches.

Step-by-step explanation:

From the question,

Assuming the diagram attached, is similar to diagram required to support the question,

From the diagram,

Applying pythagoras theorem

a² = b²+c²...................... Equation 1

Where a = 13.4 in, b = x in, c = 9.8 in.

Substitute these values into equation 1

13.4² = x²+9.8²

x² = 13.4²-9.8²

x² = 179.56-96.04

x² = 83.52

x = √(83.52)

x = 9.14 inches

Hence the distance between the rods is 9.14 inches

HELP ME PLEASEEEEEEEEEE

Answers

Answer:

The area is 35

The perimeter is 24

Step-by-step explanation:

You can count the individual units of the length and the width of the rectangle.

The width is 5, the length is 7

The area is 5*7=35

The perimeter is 5+5+7+7=24

The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)

Answers

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

Simplify. -5x-3(-2y+ 3x) - 32

Answers

Answer:

-14x + 6y - 32

Step-by-step explanation:

After distributing you have:

-5x + 6y - 9x - 32

-14x + 6y - 32

Answer is -14x+6y-32 fully simplified

Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.

Answers

9514 1404 393

Answer:

6 2/3

Step-by-step explanation:

4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

1. What is the opposite of -17

Answers

Answer:

Step-by-step explanation:

17 is the opposite my friend.

A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.

Answers

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³

Find the measure of 2.
62 = [?]
121
42

Answers

Answer:

59°

Step-by-step explanation:

∠2 and 121° are supplementary as consecutive interior angles:

m∠2 + 121° = 180°m∠2 = 180° - 121°m∠2 = 59°

What closed figure do the coordinates 3,3), (-5,3), (-1, -3), (3, -3) make?

Answers

Answer:

(8,-4) Correct me if there's wrong QwQ

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:

60 m²

Step-by-step explanation:

Area of trapezium = 1/2 (a + b) h

= 1/2 (3 + 17) 6

= 1/2 * 20 * 6

= 60 m²

Answer: 60 m^2

Step by step solution: see photo

please help I have no idea how to solve this. Please tell me what the volume of the prism is!

Answers

Answer:

Volume = area of base × height

Are of base(triangle)

A=b×h÷2

=12×4÷2

=12×2

V=area of base × height

=(24 inch)^2×15 inch

=(360 inch)^3

Step-by-step explanation:

to find the volume of a prism the formula is

area of base ×height.

In this question the area of base is a triangle so we first find the area of the triangle and multiply it with the height

what is the area and circumference please help just tell only the answer

Answers

the area is 547.39
the circumference is 84.19
hope this helped :)

Circumference = 82.896 inches

Area = 547.1136 inches squared

Pleas help? No links pleas. I will give you points...

Answers

Answer:

what are the answers?

Step-by-step explanation:

I can't give it to you without answer choices

HELPPPPPP PLEASe!!!!!!!!

Answers

Answer:

Cos x

Step-by-step explanation:

A biscuit recipe calls for 3 1/2 cups of flour to make 24 biscuits. Aaron wants to make only 8 biscuits, so he needs to use 1/3 of the amount of flour. How many cups of flour should Aaron use? Pls someone tell me the answer in fractions

Answers

Answer:

104 cups.

Step-by-step explanation:

Let's use a ratio:

biscuits : cups

24 : 312

8 : 104

He should use 104 cups of flour. (That's a lotta flour)

The diameter of a circle is 1. What is the area??

Answers

Answer:

diameter=1

radius(r)=1/2 =0.5

area of circle=πr²

22/7×(0.5)²22/7×0.250.785cm²

hope it helps.

Help plzzzzz fast and no links

Answers

Answer:

x=60

Step-by-step explanation:

I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60

Here is my question it is worth 15 points!

Answers

Answer:

What is your question????

Answer:

you don't have a question here tho

Step-by-step explanation:

Evaluate the expression and enter your answer in the box below.
8 + -9
Answer here

Answers

Answer:

Step-by-step explanation:

remember plus minus = minus

so 8+-=9

8-9=-1

what is the absolute value of the complex number −4−i 2√?

Answers

Answer:

-4-i2

The absolute value is the Square root of the real and Imaginary Parts of the Complex No

= √(-4)²+(-2)²

=√16+4

=√20

=2√5

Please help with this Ive been stressing out lately and I want a break I'll give hearts and 5 stars.

Answers

Answer:

8.8584073464

Step-by-step explanation:

area of the rectangle is 12

area of the circle is just pie

subtract the two and you get 8.8584073464

Answer:

Step-by-step explanation:

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