Mathematics High School

Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5

the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54

Answers

Answer 1

Answer:

Options 2, 3, 4, 5, 7

Step-by-step explanation:

Given roots:

3, 8i and 7 - √5

Polynomial with same roots will have factors of:

(x - 3), (x - 8i) and (x - (7-√5))

So correct choices are:

(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)

Related Questions

Functions can be defined using graphs, tables, and ordered pairs. What is the domain of a function?
The domain is any y-value.
The domain is all numbers.
The domain is the input.
The domain is the output.

Answers

Answer:

The domain is the input.

Step-by-step explanation:

The domain is the input, the independent value—it's what goes into a function. The range or y-value is the output and the dependent value is the outcome.

Answer:

I hope this helps.

Step-by-step explanation:

5. A line has a slope of (-3/2) and a y-intercept of (-4). Write the equation of the line.
Explanation:

Answers

Answer:

Y=-3/2x-4

Step-by-step explanation:

Point slope form is

y=mx+b

mx is the slope

and b is the y-intercept

Find the area of the triangle.

Answers

Answer:

1325 yd²

Step-by-step explanation:

Area formula

A = 1/2bh

Given

b = 53 yd, h = 50 yd

Then the area is:

A = 1/2(53)(50) = 1325 yd²

Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:

a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)

b) What are the zeros of the polynomial? Show any work necessary in solving.

Answers

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

2+8+9+4-3-4-6+9+5+3+8

Answers

[tex]2+8+9+4-3-4-6+9+5+3+8 \\ \\ = > 10 + 9+4-3-4-6+9+5+3+8 \\ \\ = > 19+4-3-4-6+9+5+3+8 \\ \\ = > 23-3-4-6+9+5+3+8 \\ \\ = > 20-4-6+9+5+3+8 \\ \\ = > 16-6+9+5+3+8 \\ \\ = > 10+9+5+3+8 \\ \\ = > 19+5+3+8 \\ \\ = > 24 + 3 + 8 \\ \\ = > 27 + 8 \\ \\ = > \green{\boxed{ 35}}[/tex]

Answer:

35

Step-by-step explanation:

2+8+9+4-3-4-6+9+5+3+8

10+13-3-4-6+9+16

23-13+25

10+25

35

Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to spend no more than $10.00. How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00? 4 5 6 7 ​

Answers

Answer: 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps

a. {[(-15+5)×2+8]-32÷8}-(-7)

b. (5-2)³×2+[-4+(-7)]÷(-2+4)²

c. {-10-[12+(-3)²] + 3³}+3³}÷(-3)

I'll mark you brainliest if you solve these with explanation​

Answers

Answer:

Step-by-step explanation:

The answers are:

A)  {[(-15+5)×2+8]-32÷8}-(-7)

Calculate within parentheses: -16 - (-7)

Add and subtract (left to right): -16 - (-7) = -9

B) (5-2)³×2+[-4+(-7)]÷(-2+4)²

To solve this problem, you need to follow the steps of order of operations.

Calculate within parentheses: [tex]3^{3}[/tex] * 2 + [-4 + (-7)] ÷ (-2+4)²

Calculate within parentheses: [tex]3^{3}[/tex] *2 -11 ÷ (-2+4)²

Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²

Calculate exponents: 27 × 2 -11 ÷ 4

Multiply and divide: 54 - 11 ÷ 4

Multiply and divide: 54 - [tex]\frac{11}{4}[/tex]

Add and Subtract:  [tex]\frac{205}{4}[/tex]

Convert improper fractions to mixed numbers: [tex]\frac{205}{4}[/tex] = [tex]51\frac{1}{4}[/tex]

C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)

Calculate within parentheses: -4 ÷ (-3)

Multiply and divide:  [tex]\frac{-4}{(-3)}[/tex]

Simplify and convert improper fraction to a mixed number:

[tex]\frac{-4}{(-3)}[/tex] = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]

Hope this helped! If so, please mark brainliest.

Will give Brainliest and 50 points question above

Answers

Answer:

12.something units squared

Step-by-step explanation:

Answer:

12.something units squared

Step-by-step explanation:

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Answer:

2/3 of the jar was filled with flour

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Given

Amount a jar can hold a = 3/4 of a pound of flour

If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds

Fraction of jar filled will be expressed as b/a as shown;

b/a = (1/2)/(3/4)

b/a = 1/2 ÷ 3/4

b/a = 1/2 * 4/3

b/a = 4/6

Simplify to the lowest term

a/b = 2*2/2*3

a/b = 2/3

Hence 2/3 of the jar was filled with flour

If necessary, use / for the fraction bar. Please reduce to simplest terms

What ratio value is shown by the following double number line? Use / for the fraction bar and do not use spaces.

Answers

Answer:

the answer is probably 3/5 since its the starting one so it will be how t started

Step-by-step explanation:

Answer:3:5

Step-by-step explanation:well when you divide 6/10 it equals 3/5.when you divide 9/15 it equals 3/5 and so on.

After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answers

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

Read more at; https://brainly.com/question/20530468

Simplify – 36 + (–3) + 2(27 + 3 X 2)
A
B
21
48
108
252
worth 45 points pls

Answers

Answer:

-36+(-3)+2(27+6)

-36+(-3)+2(33)

-36-3+66

-39+66

27

Answer:

27

Step-by-step explanation:

PEMDAS

– 36 + (–3) + 2(27 + 3 X 2)

-39+ 2(27 + 3 X 2)

-39+2(27+6)

-39+2(33)

-39+66

27

Hope this helped!!

The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%

Answers

Answer:

[tex]P(A\ n\ B) = 6\%[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.2[/tex]

[tex]P(B) = 0.3[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

Since both events are independent;

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]

[tex]P(A\ n\ B) = 0.06[/tex]

Convert to %

[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]

[tex]P(A\ n\ B) = 6\%[/tex]

An athletic director wants to buy soccer balls and footballs. Each soccer ball costs $15. Each football costs $20. The director can spend no more than $150 in all. Write an inequality to model the situation, where x is the number of soccer balls and y is the number of footballs.

Answers

Answer:

15x + 20y  =  150

Step-by-step explanation:

15x is how many soccer balls he can get and 20y is how many footballs he can get. (I don't know how to explain my thinking.)

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

Answer:

$0.69

Step-by-step explanation:

Add them all up.

Answer:

$0.64

Step-by-step explanation:

hope this helped :-)

I need help this is my last question (math class)

Answers

Answer:

Step-by-step explanation:

5.00 for 2 loaves is $2.50 a loaf.

She wants 5 loaves for $12.50

5*2.50= $12.50 so she is correct.

agree with majorie.

since four loaves would be ten dollars. add one more loaf and that would cost $2.50. so $10 + $2.50 is $12.50

i’ll give brainliest if it’s right

Answers

Answer:

bruh i  cant see it

Step-by-step explanation:

Answer: what does the display say

-2c+y c=-2 and y=5 ​

Answers

Answer: 9

Step-by-step explanation: All you have to do is plug in the numbers for the variable they give you. :)

Answer:

Step-by-step explanation:

Given c= -2. & y=5

-2c+y=. -2x-2+5=4+5= 9 is the answer

Can anyone help me please ??

Answers

Answer:

c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2

Answer:

√130 ≈ 11.4

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

9² + 7² = c²

130 = c²

√130 = √c²

√130 = 11.4

Enter an equation in standard form to model the linear situation. A bathtub that holds 23 gallons of water contains 13 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

Answers

Answer:

2x - y = -13

Step-by-step explanation:


Which shape does NOT have rotational symmetry?
A B C D

Answers

I believe the answer is A.
All the other shapes will look the same no matter which way you rotate them, except for A.

brainliest? plz help last question

Answers

-3 is the answer to the question

A house as purchases for $ 6780000.
a- Write the purchase price in million?



b- Write the purchase price in millions nearest to an integer.​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

a)

As there are 1000000 units in 1 million

i.e.

1 million = 1000000 units

A house as purchases for $6780000.

Thus, the purchase price in million will be:

6780000/1000000 = 6.78 million

b)

purchase price in millions nearest to an integer

As the number we are rounding is followed by 7, so will be round the number up.

Therefore,

$6780000 rounded to the nearest million =  $7,000,000

find the quotient 5/6 divided by 2

Answers

Answer:

0.41666666666

Step-by-step explanation:

I used a calculator.

5/6 / 2
= 5/6 x 1/2
= 5/12

Carmen is printing an essay that is 9 pages long, and each page contains 45 lines of text. It takes her 5 minutes to print the essay. At what rate did the essay print?

Answers

Answer:

1.8 pages per minute and 81 lines per minute.

4.7 x 10^-3___ 2^2
=
<
>

Answers

Answer:

<     (less than)

Step-by-step explanation:

4.7*0.001 ___ 4

0.0047___4

0.0047 < 4

(-2)^3=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

[tex]\left(-2\right)^3=-8[/tex]

Step-by-step explanation:

Given the expression

[tex](-2)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-2\right)^3=-2^3[/tex]

[tex]=-2^3[/tex]

[tex]=-8[/tex]       ∵  [tex]2^3=8[/tex]

Therefore,

[tex]\left(-2\right)^3=-8[/tex]

Complete this item Simplify square root 32/5​

Answers

Answer:

4√10

     5

Step-by-step explanation:

Answer:

Sorry I know the answer but it won't let me type it the right way

Step-by-step explanation:

In standard form 0.0325 is written as?

Answers

Answer:

In standard form 0.0325 is written as 0.0325

In scientific notation it is written as:

[tex]3.25^{ - 2} [/tex]

The standard form of 0.0325 is written as

[tex] = 3.25 \times {10}^{ - 2} [/tex]

Given:

0.0325

Writing in standard form means writing in scientific notation (power of be 10)

When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.

When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.

0.0325

The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2

Therefore,

0.0325

[tex] = 3.25 \times {10}^{ - 2} [/tex]

Read more:

https://brainly.com/question/1766663

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