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

f(0) = 3 and f(1) = 15.

Answers

Answer:

Step-by-step explanat

Given=F(0) = 3 and f(1) = 15.

So f(X)=12x+3

When X=0, f(0)=12x0+3=3

When X=1, f(1) = 12x1+3= 15

So f(X)=12x+3 is the solution o

The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.​

Answers

9514 1404 393

Answer:

  39 cm

Step-by-step explanation:

  1521 = 3·3·13·13 = (3·13)² = 39²

The length of the side of the square is 39 cm.

Unit 2 lesson 5 practice problem 3 in math workbook

You get 15 points if you answer this.

Answers

Answer:

what do you need help with???

Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.

Answers

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)

simplify the expression -9x-8+4x+7

Answers

Answer: 5x - (-1)

Step-by-step explanation:

Answer:

-5x-1

Step-by-step explanation:

First combine like terms

-9x-8+4x+7 combine -9 and 4

-5x-8+7 then combine -8 and 7

-5x-1

an equation of the line with a slope of 2/3 and y-intercept of −8.

Answers

Answer:

y = 2/3x - 8

Step-by-step explanation:

Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept

Plug in the slope and y intercept:

y = mx + b

y = 2/3x - 8

So, y = 2/3x - 8 is the equation of the line.

Guys plz help Answer this QUESTION!!!

Answers

Answer:

I beliEve it is D

Step-by-step explanation:

Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answers

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

[tex]\Rightarrow y=x-2 \cdots(i)[/tex]

Cost of x bananas [tex]=\$ 0.60 \times x[/tex]

Cost of y mangos [tex]=\$ 1.50 \times y[/tex]

Total cost = 0.6x+1.5y

[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

bund to the nearest tenth
2. 84 is 60% of what number?
What is that answer

Answers

Answer:

140

Step-by-step explanation:

84/140 = 60/100

Can you help with this problem

Answers

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

If you find my answer helpful.then please mark me as brainliest

Please help !!

What is the general equation to the √x?

Answers

x^1/2 or x to the 1/2 power

What is the sum of 6 and y

Answers

Answer:

6+y

Step-by-step explanation:

6+y is the ans as the question has asked to sum of them but it has not given any other clues

Answer:

i got 6y

Step-by-step explanation:

Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing

Answers

Answer:

linear decreasing

Step-by-step explanation:

cause it is a straight line and it's going down so it's decreasing.

Answer:

linear decreasing

Step-by-step explanation:

the answer that will appear before mine is right

what are the solutions of the following system?

[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]

Answers

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.

The height reached by a model rocket can be calculated using the equation h= -16t2 + vt +
where t is the time the rocket is in flight, vis the rocket's velocity, and n is the rocket's beginning
height.
Calculate the height, h at 3 seconds given that the rocket travels 85 feet per second and starts on a
launch pad 15 feet off the ground.
Knowns:
t = 3 seconds
v = 85 feet per second
n = 15 feet
If we plug all those values in, our Formula becomes h= (–16.32) + (85.3) + (15).
Solve for h

Answers

Answer:

Step-by-step explanation:

9.0

The height (h) reached by model rocket will be equal to 126 ft.

It is given that the height reached by a model rocket can be calculated using the equation h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n

We have to calculate the height (h) at 3 seconds.

What is algebra ?

Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n   ---------- Equation 1

t = time rocket is in flight = 3 seconds

  v = velocity at which rocket travels = 85 ft. per second

  n = height of rocket at beginning = 15 ft

Putting these values in equation 1 , we get.

h = - 16 × ( 3² ) + (85) × (3) + 15

h = - 16 × 9 + 255 + 15

h = -144 + 270

h = 126 ft.

Thus , the height (h) reached by model rocket will be equal to 126 ft.

To learn more about algebra click here ;

https://brainly.com/question/19253676

#SPJ2

If 20 apples cost $7, what is the unit cost?

Answers

Answer:

35 cents per apple

Step-by-step explanation:

its 7 / 20 and you get 0.35

Which of the following capital letters results in the same letter over again when reflected about a
horizontal line? (1 point)
Ο:Α
O:Y
O:S
O:D

Answers

Answer: D

Step-by-step explanation:

When D is reflected over a horizontal line (think of it as a mirror on the ground with D on top of it), the reflection will show the letter D in the same way all over again.

I have attached a picture to show it. It's a tad unclear but I believe gets the point across.

Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.

Answers

y=9+9 because when you take that factor off you add 8 + 1

Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?

Answers

Answer:

12

Step-by-step explanation:

Since they traveled in opposite directions, we would add the 2 numbers!

8+4=12.

please help me please please nice brainly people pls

Answers

Answer:

I think your answer is B= 12.

Step-by-step explanation:

Its x times 1 .33333 = y

brainliest?

B=12 its x time 1.33333 = y

1) In a survey, Eric, the team manager, asked all 120 soccer players in the league which drink they preferred during
and after the game.
Drink During Game After Game
Sports Beverage 70
10
Juice
10
80
Water
40
30
Directions: For each statement below, tell if it accurately represents the information from the survey AND
explain how you made each decision. (SHOW YOUR THINKING)
a. During the game, players prefer juice to water by a ratio of 4 to 1.
b. 25% of the players prefer water after the game.
c. More than half of the players prefer a sports drink during the game.

Answers

Your answer would be B
If this helped can I please get brainliest

What is the length of a segment with endpoints at (-3,4) and (4,4)

Answers

Answer:

The length is 8

Step-by-step explanation:

PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

Answer are at the bottom!

Step-by-step explanation:

First equation: y=5x

Second equation: y=5.5x

Unit rate:

x/5.5

5.5/5.5

x/1

Hope this helps!

I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.

Answers

Answer:

It is unlikely the point is in region A.

It is impossible for the point to be in region H.

It is certain that the point will land in a lettered region.

Step-by-step explanation:

Hope it helps!

Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive

Answers

Answer: Each girl will receive $18.75.

Step-by-step explanation:

Given: Two girls babysat three children for five hours.

Hourly pay for each child = $2.50

Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]

Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]

So, the amount received by each girl  = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]

[tex]=\dfrac{37.5}{2}=\$18.75[/tex]

Hence, each girl will receive $18.75.

Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?

Answers

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?

Answers

108+x = 550

550-108= 442

Jonah made 442 party favors .

1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.

2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.

Answers

1. y+2=2(x-3)
2. Y=2x-8

Explanation:

Point-Slope Form: y-y1 = m(x-x1)
(x1,y1) => (3,-2)

Y-(-2)=2(x-(3)) —> y+2=2(x-3)

Slope-Intercept Form: y=mx+b
(3,-2). M=2 (slope)

-2=2(3)+b Y=2x-8
-2=6+b
-6
—————
-8=b

A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?

Answers

Answer:

1 cup of flower makes 1/2 a batch of cookies

Step-by-step explanation:

2 divided by 2 is 1

1 divided by 2 is 1/2

Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.

Answers

Answer:

( - 1, 3 )

Step-by-step explanation:

( 1 - 2 , 1 + 2 ) = ( - 1, 3)

(1, 1) -----> ( - 1, 3 )

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