Two roots of a third degree polynomial function f(x) are -4 and 4. Which statement describes th
roots for this function?
f(x) has three complex roots.
f(x) has three real roots.
f(x) has two real roots and two complex roots.
Of(x) has three real roots and one complex root.

Answers

Answer 1

Answer:

f(x) has 3 real roots

Step-by-step explanation:

According to the Fundamental theorem of Algebra.

A polynomial of degree n has n roots, which can be real or complex or both.

Thus a polynomial of degree 3 has 3 roots.

Two real roots are given

Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.

Thus f(x) has three real roots.

Answer 2

Answer:

B

Step-by-step explanation:

Edge


Related Questions

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
I WILL AWARD BRAINLIEST

Answers

Answer: Masha needs 40 more minutes to complete the path.

Step-by-step explanation:

So if Dina is cycling speed is 10km per hour that means it will take Dina 2 hours to completed the the path.

Here;   [tex]\frac{10km}{1h}[/tex] = [tex]\frac{20km}{x }[/tex]  

           10x = 20

       x= 2  

But since Masha still have 4 more km to go  you will add 20 + 4 =24

[tex]\frac{10}{1}[/tex] = [tex]\frac{24}{x}[/tex]

10x= 24

x= 2.4

(05.03 MC)
Look at the figure below:

Triangles ABC and BDC have a common base BC. E is the point of intersection of BD and AC. AE equals EC and ED equals BE.

Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? (1 point)


Triangle ABE and triangle CBE


Triangle AEB and triangle CED


Triangle BEC and triangle DEC


Triangle ABC and triangle DCE

Answers

Answer:

Triangle AEB and triangle CED2nd answer is correct

Step-by-step explanation:

AE = EC (side)

BE = ED( side)

AEB angle = DEC angle( angle)

Triangle AEB and triangle CED ( SAS)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B- Triangle AEB and triangle CED

Step-by-step explanation:

I took the test and it was correct

Is (-2,3) a solution of the graphed inequality?
Choose 1 answer:
.Yes
or
.No​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes my mistake didn't see the solution.

.Step-by-step explanation:

Inequality is basically where it doesn't eqaul to the

!!y≤x+ (0,0)!!

Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)

Answers

Answer:

y = x - 2

Step-by-step explanation:

y + 4 = 1 (x + 2)

y + 4 = x + 2

y = x - 2

which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)

Answers

Answer:c

Step-by-step explanation:

Given

Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]

We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substituting values we get

[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]

[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]

[tex]d=\sqrt{9+25}[/tex]

[tex]d=\sqrt{36}[/tex]

[tex]d=6\ units[/tex]

Thus option c is correct

Someone help me please?!

Answers

Answer:

13

Step-by-step explanation:

Mark me as brainliest

Vector v has its initial point at (13, -7) and its terminal point at (3, -1). Write the vector in component form and find its magnitude. Round the vector’s magnitude to the nearest hundredth unit. Make sure to show all work and explain the steps.

Answers

Is this what your looking for?

First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).

Question 26
Read the question in the picture

Answers

Answer:

C or B if not then its B

Step-by-step explanation:

Answer:

y=4x-1

Step-by-step explanation:

On the x-axis , the line is on the number positive 4 .

GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh

Answers

Answer:

which question

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

im in need of brainliest

how many real roots does a quadratic equation have if the discriminant is 10

Answers

Answer:

2

Step-by-step explanation:

if the discriminant of the quadratic equation is 10 then it will have 2 real roots.

Try It!

Find the length of a 100-yard football field in meters. Use 1 yard = 3 feet

and 1 meter = 3.28 feet. Round to the nearest tenth.

Answers

Answer:

91.46m

Step-by-step explanation:

The length of 100 yard football field in meters.

From the dimension given,

1 yard = 3 feet

Therefore,

100 yard = x feet

1 yard = 3 feet

100 yard = x feet

X = (100 × 3) / 1

X = 300 feet.

But,

1 metre = 3.28feet

X metre = 300 feet

X = (300 × 1) / 3.28

X = 91.46m

Therefore, 100 yard football field is equal to 91.46m

If T=[23 -38]
[17. -6 ] then what is -10(T)

Answers

Answer:

B

Step-by-step explanation:

Multiply each term by -10

Sally has 4 red socks, 6 white socks, and 2 pink socks in her drawer. She
randomly pulls a red sock out of the drawer. Then she randomly pulls out
another sock from a drawer.
a) What is the probability that Sally pulls out a red sock?

b) What is the probability that Sally pulls out a sock that is not red?

c) Are the events described in a) and b) complementary? Explain.

Answers

A) 1/3

B) 2/3

C) Yes because 1/3+2/3=1 but if it was 1/3 and 1/3 it would not be complementary

Explain the students mistake

Answers

-8n+4+20n=-6n-14
12n+6n+4=-14-4
18n=-18
n=-1

Answer:

The student was supposed to multiply 4(1+5n)  to equal 4+20n instead she forgot to multiply 5n and put 4+5n.

Step-by-step explanation:

-8n + 4(1 + 5n) = -6n -14

-8n + 4 + 20n = -6n -14

12n+4 = -6n -14

+6n       +6n

18n +4 = -14

       -4    -4

      18n= -18

          n = - 1

16. Determine the measure of x:
21
680
х

Answers

68+90=158
180-158=22
Sin22/21 sin90/x
x=21sin90/sin22
Sin90= 1
Sin22= 0.3746
21 times 1 = 21
21 divided by 0.3746 = 56.05979771
x=56.06 (I rounded to the nearest hundredth but you can round to whatever you would like :) )

Use long division to find the quotient below

Answers

Answer:

[tex]4x^2-2x+6[/tex]

Step-by-step explanation:

I did it on paper

[tex](8x^3+20x^2+36)/(2x+6)=4x^2-2x+6[/tex]

12 = 6(n – 7)
Solve 2 -step equation

Answers

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

Divide by 6 on both sides

12/6 = 6/6(n – 7)

2 = n-7

Add 7 to each side

2+7 = n-7+7

9 = n

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

12 = 6n - 42. Use the distributive property

12 = 6n - 42

+42. +42. Inverse operations

54 = 6n

÷6. ÷6

9 = n

Eric's income puts him in the second tax bracket (15%) last year. During the same year, he earned $515 in dividends and $65 in coupons on a municipal bond. In March, he purchased a common stock for $200. He sold the same stock six months later for $915. What is the total Eric will pay in taxes on last year's investments?

Answers

Answer: $184.50

Step-by-step explanation:

Eric’s income puts him in the second tax bracket which has 15%, tax rate.

Eric has the following income-

Income from dividends = $515 what ch is (taxed at 15%)

Therefore; tax on dividend income = $515 * 15%

= $515 × 15/100

= $515 × 0.15

= $77.25

The Income from municipal bonds = $65 (Not taxed)

The income from sales of stock (capital gain)= $915 - $200 = $715 (This is held for less than 1 year therefore it is taxed as ordinary income at 15% tax rate)

Therefore,the tax on the short-term capital gain

= $715 * 15%

= $715 × 0.15

= $107.25

Therefore the total amount Eric will pay in taxes on last year’s investment will be:

= tax on dividend income + the tax on short-term capital gain

= $77.25 + $107.25

=$184.50

Answer:

$107.25

Step-by-step explanation:

I just took the quiz ehehe

20 POINTS!!!!!!!!!!! ASAP! 20 POINTS!!!! Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 7, point 2, negative 17, point 3, negative 27, point 4, negative 37, point 5, negative 47, and point 6, negative 57 a1 = −7; d = 10 a1 = −7; d = −10 a1 = 1; d = 10 a1 = 1; d = −10

Answers

Answer:

a1 = -7

d = -10

Step-by-step explanation:

Look at the points, you first point (1,-7) where a1 is 1 and that also means -7

Same for d go to the second point (2,-17) now add a1 from that

-17+7 = -10 so to get from -7 to -17 you had to add -10 <--- that is your d!

Goodluck

a1  is  -7 and d is -10. Comparative genomics use bidirected graphs known as sequence graphs.

What is sequence graph?

Comparative genomics use bidirected graphs known as sequence graphs, often referred to as alignment graphs, breakpoint graphs, or adjacency graphs. The structure is made up of several graphs or genomes, where the edges and vertices correspond to the adjacencies.

A sequence, which often represents an entire genome or a portion of a genome, is produced by traversing an interdependent component of segments with adjacency edges (referred to as a thread).

first point (1,-7) where a1=1 and that also means -7

second point (2,-17) now add a1 from that

-17+7 = -10 so to get from -7 to -17 you had to add -10, its d

a1 = -7

d = -10

Therefore, a1  is -7 and d is -10.

To know more about sequence graph, here:

https://brainly.com/question/1549176

#SPJ3

PLEASE ANSWER ASAP!! GOOD 20 POINTS

Answers

Answer:

43

Step-by-step explanation:

Let's plug in 105 for v. We get 105 = 30[tex]\sqrt[3]{t}[/tex].

3.5 = [tex]\sqrt[3]{t}[/tex]

t = 43 seconds

Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. a = 9, c = 15
1) 15
2) 11
3) 14
4) 12

Answers

The answer is 4. Your welcome
It’s 12 my friend




Ur welcome

Wendy had 1/2 of her birthday cake left over, so she decided to take it to work.
She shared her cake equally amongst herself and five of her coworkers. What
fraction of the birthday cake does each person get?​

Answers

Answer:

1/12

Step-by-step explanation:

1/2 divided by 6

that way her and her 5 workers each get the same amount of cake

1/12

Step-by-step explanation:

1/2/6=1/12

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money does she need to bring to closing

Answers

Answer:

$2,980

Step-by-step explanation:

Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.

From the given question:

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage

the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points

Thus; the additional money  she need to bring to closing is calculated by the formula:

cost = points × loan amount

= 0.02 × $149,000

= $2,980

A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees

Answers

Answer:

a. 14.19 feet

b.  2504.26 cubic foot.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

(a) Determine the height of the cone to the nearest tenth of a foot.

(b) Determine the overall volume of the tower to the nearest cubic foot.

Please have a look at the attached photo.  

My answer:

Given the information:

The cylinder has:

diameter of 12 feet => the radius : 6 feetheight of 15 feet

The cone has:  an inclination angle of 25 degrees

(a) Determine the height of the cone to the nearest tenth of a foot.

Let h is the height of the cone

The distance from C to A is 6 feet and the measure of the angle CAB is 25 degrees. The triangle ABC is a right triangle.

=> sin(CAB) = [tex]\frac{CA}{h}[/tex]

<=> h = [tex]\frac{CA}{sin25}[/tex]

<=> h = [tex]\frac{6}{sin25}[/tex]

<=> h = 14.19 feet

(b) Determine the overall volume of the tower to the nearest cubic foot.

overall volume = volume of the cone + volume of the cylinder

We have:

Volume of the cylinder = the height*the base area

= 15*[tex]r^{2}[/tex]*π

= 15*[tex]6^{2}[/tex]*π

= 1696.6 cubic foot.

volume of the cone = 1/3*the height*the base area

= 1/3*14.19*[tex]6^{2}[/tex]*π

= 534.76 cubic foot.

=> overall volume =  534.76 + 1696.6 = 2504.26 cubic foot.

Hope it will find you well.

Would simplifying affect the inequality?

3x < 7+3
What would be the simplified form or the next step?
Answer yes or no, simplified form written

Answers

Answer:

Simplifying would not affect the inequality, because you are still saying the same thing just in a different way

Step-by-step explanation:

the next thing you would have to do would be to add 7+3 which gives you 10 and then divided 3x by 3x and 10 by 3x and badaboom there's your answer

Find the solution set of the inequality
14-3x<-1

Answers

Answer:

x > 5

Step-by-step explanation:

PLEASE ANSWER CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!!!!!!!!

Answers

Answer:

u-5=-4(v-1)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

V=-u/4+9/4 THIS ANSWER IS IF YOU ARE LOOKING FOR (V)

u=-4v=9 THIS ANSWER IS IF YOU ARE LOOKING FOR (U)

HOPE THIS HELPS:)!!!!!

STAY SAFE

A recipe uses ⅔ cup of flour and ⅝ cup of blueberries. Is there more flour or more blueberries in the recipe?

Answers

Answer:

There is more Flour

Step-by-step explanation:

☻ Get common denominators then compare the numerators

Answer:

Flour.

Step-by-step explanation:

You have to multiply both denominators to get 24, and whatever you multiplied them by, you multiply the numerator. 2x8 =16/24

5x3=15/24

Photo is above need help no work needed just the answer thank you

Answers

Answer:

D is the correct answer

Im pretty sure its b and d correct me if im wrong


6:
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?

A
Gallery: g
Balcony: g
Main Floor: g + 225
B
Gallery: g + g + 225
Balcony: 2g
Main Floor: g
C
Gallery: g
Balcony: g + 225
Main Floor: 2g + 225
D
Gallery: g
Balcony: 2g
Main Floor: 2g + 225

Answers

Answer:

D) gallery: g

    balcony: 2g

    main floor: 2g + 225

Step-by-step explanation:

Other Questions
And Eme was right. That afternoon Towser was bitten in the garden by a dragon about the size of a rabbit, which he had tried to chase, and the next morning all thepapers were full of the wonderful Winged lizards that were appearing all over the country. The papers would not call them dragons, because of course, no onebelleves in dragons nowadays-and at any rate the papers were not going to be so silly as to believe in fairy stories. At first there were only a few, but in a week ortwo the country was simply running alive with dragons of all sizes, and in the air you could sometimes see them as thick as a swarm of bees. What is the main idea of the bolded section?Dragons were all over the countryDragons were burning people.The dragons were the same size.People did not believe in dragons. Which is the best practice when dealing with formulas and functions in EXCEL? 5. A gas occupies 2000. Lat 100.0 K and exerts a pressure of 100.0 kPa. What volume willthe gas occupy if the temperature is increased to 400. K and the pressure is increased to200. kPa? In a study on happiness in marriage, participants were asked how long theyhad been married. The time they had been married would be a in thestudy.A. samplingB. correlationC. variableD. random assignmentSUBMIT The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. Here is their design They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot. Do they have enough money to cover the cost of making the window? The radius of a circular baking tray is 6 cm. Find its area correct to 2 decimal places. Use the button on your calculator for in your calculations. Which best explains why making a pancake from batter is an example of a chemical change?The pancake that forms is a different state of matter.The change from batter to pancake can be reversed.A new substance forms when the batter is cooked.The batter changes shape when it is cooked. a. Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level given below to find a confidence interval for the mean of the population from which the sample was drawn. b. Obtain the margin of error by taking half the length of the confidence interval. c. Obtain the margin of error by using the formula talpha/2. s/(n)^1/2. x overbar = 20 n = 25 s = 4 confidence level = 98% what is 9/5 as a decimal? Answer the question please Why was meteorology such a late developer compared to other branches of science? jessica is participating in a half marathon which is about 13 miles considering 1 mile is equal to 5280 feet how many feet is jessica running in the half marathon Which of the following contains salt water? Lake Ocean River Glacier How many whole numbers are less than n+1?Thx Help Plz!Raj builds a side table in the shape of a cube. Each edge of the cube measures 30 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need? 50 POINTS PLZ HELPA cartoon by David Low, published on 6th April 1949, entitled Your play, Joe. The cartoon shows that western leaders were being manipulated by Stalin. How do you know? Explain your answer using the cartoon and your contextual knowledge. (4 marks) How much is 7 x 2/3 Plz help HELPPPPPPPP ASAP 25POINTS Answer the following question in 3-4 complete sentences. A naked Caucasian woman reclining on a bed. An African American woman is holding a tray of flowers in front of her. What was the controversy involving this painting? WILL MARK BRAILIEST 2O EXTRA MORE POINTS ASAP PL,EASE!!!!!!!!!!!~!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP PLEASE FASTTTTTT !!!!!!!!!!!!!!!!!!!!~!!!!!!!!! -1 1/4 + 1/2 A)-1 3/4 B)-1 1/2 C)-3/4 D)-1/2 Thereupon began a clash of steel, which sounded as if the skies had turned to thunder. Mighty and long was the battle as their brandished swords met and clattered. So fairly matched were the two men that neither did harm to the other. For an hour or more the battle waged, each marveling all the while at the other's skill.The men ____ each other.A - respectedB - ignoredC - awakenedD - believed