in the given graph of a cubic polynomial, what are the number of real zeros and complex zeros respectively

In The Given Graph Of A Cubic Polynomial, What Are The Number Of Real Zeros And Complex Zeros Respectively

Answers

Answer 1

Answer:

1 real and 2 complex

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some may be complex.

A cubic is a polynomial of degree 3 , then has 3 zeros.

From the graph

There is a real zero at x = 4

Thus the other 2 must be complex


Related Questions

Help me besties

Find the measure of each angle in a regular 55 sided polygon.

Answers

[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]

the trapezium is drawn on a centimetre grid

Answers

Answer:

21 cm²

Step-by-step explanation:

Applying,

A = (a+b)h/2............. Equation 1

Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.

From the diagram

Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)

Substitute these values into equation 1

A = 3(5+9)/2

A = 3(14)/2

A = 3×7

A = 21 cm²

(x^2)^3÷x^6 HELLLLP​

Answers

Answer:

x

Step-by-step explanation:

(x²)³ ÷ x⁶

x⁶ ÷ x⁶

x

The answer is 1

Explanation: (x ²) ³ = x ⁵

x ⁵ / x ⁶ = 1

What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units​

Answers

Answer:

136 sq units

Step-by-step explanation:

area = length  * width

a = 17 * 8

a = 136 sq units

The area of the rectangle is given by the equation A = 136 units²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L

Now , the value of L = 17 units

Let the width of the rectangle be W

Now , the value of W = 8 units

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 8 x 17

Area of rectangle A = 136 units²

Therefore , the value of A is 136 units²

Hence , the area of rectangle is 136 units²

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URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!

Answers

Answer:

y-1 = 2(x+2)

Step-by-step explanation:

Point slope form of a line is

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

y -1 = 2(x - -2)

y-1 = 2(x+2)

Another thrifty student has saved up $1400 working at City Beach. This person put the money into an account for
1 year, which generated $70 interest. What was the interest rate?

how do i work out the interest rate?

Answers

Answer 20%

Step-by-step explanation:

Plzzzzz help ill make you brainliest

Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?

1 4,756 m

2 4,744 m

3 4,750 m

4 1,250 m

Answers

Answer:

4 1250 m

Step-by-step explanation:

Hope it helps you.

6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2

Answers

Answer:

C. a = 6√3, b = 12, c = 6√2

Step-by-step explanation:

First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:

cos(60°) = 6/b

0.5 = 6/b

b = 6/0.5

b = 12

Now we can find a using the Pythagorean theorem:

b² = 6² + a²

12² = 6² + a²

144 = 36 + a²

a² = 144 - 36

a² = 108

a = √108

a = 6√3

And now we can find c using cos again:

cos(45°) = c/b

√2/2 = c/12

c = 12•√2/2

c = 6√2

What would I say pls help me

Answers

Well what was the lesson about?

Answer:

Hi, today we learned about (the lesson you choose)  and the teacher told me to tell you what to do so you need to do your work or you will get in trouble

Step-by-step explanation:

Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child

Answers

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

[tex]\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}[/tex]

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

Can someone please help me!I'm struggling!

Answers

1. 1/4x + 5 =y
2. 1/4x
3. Increasing
4. It’s a positive number
5. 5
6. But the point on the vertical line at positive 5

point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS

Answers

Forty nine x plus 15x -ggsg and y will get 13

what is the estimate product of 345 and 34?​

Answers

Answer:

7000

Step-by-step explanation:

Aline has a slope of -3 and a y-intercept of 3

what is the x-intercept of the line?

Answers

Answer:

(1,0)

Step-by-step explanation:

y = -3x+3

simple, to find the x-intercept, what does x equal for y to be 0?

when x is 1, y equals 0, so the x-intercept would be at (1,0)

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?

Answers

The correct answer is the Additive rate of change.

We have given that,

A data set contains an independent and a dependent variable.

Let x be the independent variable and y be the dependent variable.

To write the  relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line, the constant k is the gradient.

A multiplicative change is a log form and it is given by :

What is the exponential form?

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is the Additive rate of change.

To learn more about the independent and dependent variables visit:

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Translate the following phrase to a mathematical expression, and then evaluate the expression for n = 24.
the quotient of a number and four

O 4 n; 96
O n / 4; 6
O 4 / n; 7
O n / 4; 28​

Answers

Answer:

B. n / 4; 6

Step-by-step explanation:

Let

n = the unknown number

the quotient of a number and four

= n/4

When n = 24

The expression becomes

= n/4

= 24/4

= 6

B. n / 4; 6

Answer:

I am a boy all bad girls co me.

roi-dfwr-bxc

Hello again, do you mind helping me? Thank you

Answers

Answer:

P = 20 and A = 24

Step-by-step explanation:

6+6+4+4 = 20

6*4 = 24

Hope this helps

Find a​ point-slope form for the line with slope 1/5 and passing through the point ​(-6,-4)

Answers

Answer:

(y +4) = 1/5( x +6)

Step-by-step explanation:

Point slope form is

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

(y - -4) = 1/5( x - -6)

(y +4) = 1/5( x +6)

What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term

Answers

Answer:

Add -8

Step-by-step explanation:

Take the second term and subtract the first term

6-14 = -8

Check with the third and second terms

-2 -6 = -8

We are subtracting 8 from each side

(or adding -8)

Step-by-step explanation:

14, 6, -2, -10 , -18

ok so if you are starting at 14 then you would be add -8

14-8=6

6-8=-2

so on and so on..

But if you are starting from -18 then you would add 8

-18, -10,-2, 6, 14

-18+8=-10

-10+8=-2 so on and so on

so either one of those depending on which number your starting with

Complete the statement

Answers

Answer:

<RQS = <RSQ

Step-by-step explanation:

IRQ = RS, then QRS is an isosceles triangle and the base angles are equal

<RQS = <RSQ

Find value of angle w

Answers

Answer:

w = 134°

Step-by-step explanation:

w and 46° are adjacent angles and sum to 180° , that is

w + 46° = 180° ( subtract 46° from both sides )

w = 134°

Answer:

134 degrees

Step-by-step explanation:

These are known as supplementary angles, or two angles that add up to 180 degrees. We know they add up to 180 degrees because they both lie upon the same straight line.

Using this information, we can take:

180 = 46 + w

134 = w

134 degrees

Ayuda plissss es para hoy

Answers

Answer and Step-by-step explanation:

1.

First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]

2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex]   <- This is the answer. Esta es la respuesta.

2. First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]

[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1  <- This is the answer. Esta es la respuesta.

3. Make the fractions have the same denominator, then add, then multiply by 40.

Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.

[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]

[tex]\frac{47}{40}[/tex] × 40 = E) 47  <- This is the answer. Esta es la respuesta.

I hope this helps! #TeamTrees #PAW (Plant And Water)

¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)

or
1. The starting point of a___ or____
is the endpoint.

Answers

Answer:

1. The starting point of a ray or line segment

is the endpoint.

Step-by-step explanation:

hope it may help you!

Answer:

The starting point of a ray or line segment is the endpoint.

Step-by-step explanation:

hope it may help you

During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?


I got two answer when I solved it but I’m not sure which one is correct

Here what I got

For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5

I’m not sure if I’m correct or which is the right answer can someone expían ?

Answers

Answer:

profit(n) = n * .50

Profit(10) = 5.00

Step-by-step explanation:

Profit = amount of candy bars sold * profit per candy bar

profit(n) = n * .50

Let the number of candy bars sold be 10  ( n=10)

Profit(10) = 10 * .50

               = 5.00

When you added you only added 9  .50 terms which is why you only got 4.50 for your answer.

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

A right triangle as shown below

Answers

Answer:

sin a = 7/25

cos a = 24/25

tan a = 7/24

Step-by-step explanation:

Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.

SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)

Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!

sin a = 7/25

cos a = 24/25

tan a = 7/24

If needed, just divide the ratios to get their decimal form!

Find mZA and mZB.
Please help :)

Answers

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

[tex]4y-4+3y=52[/tex]

1) Solve for y

[tex]4y-4+3y=52[/tex]

Combine like terms

[tex]7y-4=52[/tex]

Add 4 to both sides to isolate 7y

[tex]7y-4+4=52+4\\7y=56[/tex]

Divide both sides by 7

[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]

Angle B:

[tex]3y\\=3(8)\\=24[/tex]

I hope this helps!

HELP PLEASE THIS IS DUE TODAY!

Answers

Answer:

13.76

Step-by-step explanation:

Find the area of the entire square (8 x 8 = 64)

Find the area of the circle (3.14 x 4^2 = 50.24)

Subtract the two (64 - 50.24 = 13.76)

A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.

Answers

Answer:

$35

Step-by-step explanation:

1-2/7=5/7 (remaining money left after shopping)

2/5×5/7=2/7 (amount of money lost)

5/7-2/7=3/7 (amount of money she has now)

3/7=$15

1/7=$5

7/7=$35

Hence, total amount of money she has before she went shopping=$35

hope it helps:))))

The entries in the register of a bank account are shown in the table.
Account Register
Date
Withdrawal
Deposit
Balance
April 2
$1,976.20
April 3
$27.60
April 6
$192.70
April 8
$532.18
April 9
$35.90
?
What is the balance in this register after the withdrawal on April 9 ?
O A. $1,187.82
O B. $1,645.02
OC. $2,307.38
O D. $2,764.58

Answers

The answer is B I know because I took the quiz
The answer to your question is B.
Other Questions
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The catering company has one van that will be used exclusively for catering services.You have identified the following goals for this catering business: The catering business will need to be able to sell the same quality, organic foods that are sold in-store and supplied daily. The catering customers can be no farther than 25 miles from the store so that food can be delivered within an hour. The catering business should be profitable within one year. The cost of developing the catering business should not negatively impact the in-store retail operations budget, staffing, events, and farmer partnerships.You plan to launch the catering business by providing a free catered lunch to the first 10 businesses that subscribe to the weekly lunch catering services. The catered lunch for each business will be for up to 30 people and will be held at a local conference center ballroom at noon on a day of the customers choosing. The budget for this launch of 10 catered lunches is $7,000. Two weeks before the launch, you are working with catering staff to calculate the costs of the launch to date, review tasks that need to be completed, and assess the overall impact of catering on in-store retail operations. You learn that the costs associated with the launch of the free catered lunches have already exceeded $7,700. Additionally, a local farmer that provides the fresh lettuce for lunch salads notifies you that the lettuce will not be available in time for the catered lunch. No other local farmers have lettuce available for purchase, and the only option is to use nonorganic lettuce in order to keep the menu as communicated to the 10 businesses subscribing to the weekly lunch catering services. A financial company representative wants to inquire about possibly financing your company for this project. The representative sends a request for information to you as listed in the requirements for this task.Task 1: Project ManagementA. 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