Find all zeros of the function

Find All Zeros Of The Function

Answers

Answer 1

Answer:

x=-1,-3,2i and -2i

Step-by-step explanation:

By plugging in x=-1, f(x)=0 and x=-3,f(x)=0

That means x+1 and x+3 are roots of the fourth degree polynomial.

(x+1)(x+3)=x²+4x+3

Divide the polynomial by x²+4x+3 and that gives x²+4.

We now find the zeros of the factors

(x²+4x+3)(x²+4)=0

x=-1,-3,2i and -2i


Related Questions

Ken ran 2 1/6 miles in 20.8 minutes. How
many minutes on average did it take him to
run one mile?

Answers

On average Ken ran 1 mile in 9.6 minutes. Since 20.8/2 1/6 is 9.6/1

The amount of time taken by Ken to cover 1 mile will be 9.6 minutes.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Ken ran 2 1/6 miles in 20.8 minutes. The amount of time taken by Ken to cover one mile will be calculated as below:-


2 ( 1/6) miles = 20.8 minute

13 / 6 miles = 20.8 minutes

1 miles = ( 6 / 13 ) x 20.8

1 mile = 9.6 minutes

Therefore, the amount of time taken by Ken to cover 1 mile will be 9.6 minutes.

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Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

x+5

Step-by-step explanation:

What is the slope of the line passing through the point (2, -1) and the origin?
A. –2
B. -1/2
C. 1/2
D. 2
E. undefined

Answers

Answer:

B

Step-by-step explanation:

it goes 1 space up(+), 2 space left(-), to find the slope you have to do rise/run

so -1/2

2, 4, 12, 48, 240
Is is geometric, arithmetic, or neither ?

Answers

It is neither if it was arithmetic 3 times (4+2)=18 but if it has abc with triangle going around it duh your welcome :)

MODELING REAL LIFE You earn $35 for washing 7 cars.

a. How much do you earn for washing 4 cars?

You earn $\$$
for washing 4 cars.
Question 2
b. You earn $45. How many cars did you wash?

You washed
cars.

Answers

Answer:

a)$20

b)9

Step-by-step explanation:

35/7= 5

$5 per each car

5*4=20

You get $20 for washing 4 cars

$45/5=9

You washed 9 cars for $45 dollars

Yeah, hope that helps

Answer:  A.$20

                B. $45 means 9 cars washed

Step-by-step explanation:

you earn 20$ for 4 cars

you earn 45$ means you washed 9 cars

Solve the system of linear equations by substitution. Check your solution.

Answers

(-6,2)

1. Solve one of the equations.
Ex: x-3y=-12 —-> x=3y-12

2. Substitute the equation we just solved into the other equation:
2(3y-12)+4y=-4

3. Simply the problem above to get y=2

4. Substitute y=2 into the other equation (x-3y=-12) and solve

x-3(2)=-12

5. Simplify the equation above to get x=-6

The answer is (-6,2)

The solution to the system of linear equations is x = -6 and y = 2.

Solving the system of linear equations by substitution:

The system of linear equations is:

2x + 4y = -4

x - 3y = -12

We can solve this system by substitution. First, we can solve the second equation for x:

x = 3y - 12

Substituting this expression for x into the first equation, we get:

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

Simplifying the right side of the equation, we get:

6y - 24 + 4y = -4

Combining like terms, we get:

10y - 24 = -4

Adding 24 to both sides of the equation, we get:

10y = 20

Dividing both sides of the equation by 10, we get:

y = 2

Now that we know the value of y, we can substitute it into the second equation to solve for x:

x - 3(2) = -12

Simplifying the right side of the equation, we get:

x - 6 = -12

Adding 6 to both sides of the equation, we get:

x = -6

Therefore, the solution to the system of linear equations is x = -6 and y = 2.

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What is the equation of the line whose graph is shown below?
у
8
-7
х

Answers

Answer:

8y = 7x

Step-by-step explanation:

Find two consecutive even integers such that twice the smaller is 26 less than 3 times the smaller

Answers

Answer:

let x = smaller number; x+2 = larger

Step-by-step explanation:

2x = 3x - 26

-x = -26

x = 26

x+2 = 28

2x^3+5x^2+6x+152x 3 +5x 2 +6x+15

Answers

ANSWER = 154^3+10^2+12+15

What is the equation given the zeros x = 2 and x = 7?

Answers

Answer:

x²-9x+14=0

Step-by-step explanation:

We can use Vieta's formula:

x²-(sum of roots)x+(product of roots)=0

x²-(2+7)x+(2×7)=0

x²-9x+14=0

Find the missing side lengths. Write your answers in simplest radical form with the denominator rationalized.

Answers

Answer: x=5, y=(5[tex]\sqrt{3}[/tex])/2

Step-by-step explanation:

Using the 30-60-90 triangle rule, we know that the sides follow 1-([tex]\sqrt{3}[/tex]/2)-2. The ratio between the side and the rule is 5/2, meaning that we know that y=(5[tex]\sqrt{3}[/tex])/2 and x=5.

Here are a few pairs of positive numbers whose sum is 50.


What numbers belong in the last column?

Answers

Answer:

49, 96, 400

Step-by-step explanation:

multiplying first and second numbers

The required product that belongs to the last column is given as 49, 69, 400. Option C is correct.


Given that,
A table has shown we have to determine the last column of the table.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As mentioned in the question the element that lies in the third column is the product of the elements lying in the respective rows.
So,
1  × 49 = 49
2 × 48 = 96
10 × 40 = 400

Thus, the required product that belongs to the last column is given as 49, 69, and 400. Option C is correct.

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Five cupcakes and two cookies cost $19.75. Two cupcakes and four cookies cost $ 17.50.
How much does a cupcake cost?
How much does a cookie cost?
Cupcake: $
Cookie: $

Answers

Answer:

Step-by-step explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost  $19.75.

[tex]5x+2y=19.75 ---------- 1[/tex]

Two cupcakes  and four cookies cost $17.50.

[tex]2x+4y=17.50 --------------2[/tex]

Let's solve the simultaneous equation by elimination;

Multiply equation 1 by 2;

[tex]10x+4y=39.50-------3\\[/tex]

Subtract equation 2 from equation 3;

[tex]10x-2x+4y-4y=39.50-8x=22[/tex]

[tex]8x=22[/tex]

divide both sides by 8

[tex]\frac{8x}{8} =\frac{22}{8} \\x=2.75[/tex]

Since we have the value of x, let substitute into equation 1 to get y;

[tex]5x+2y=19.75\\5(2.75)+2y=19.75\\13.75+2y=19.75\\2y=19.75-13.75\\2y=6\\y=\frac{6}{2} \\y=3.00[/tex]

therefore , the cost of cupcakes and cookies are;

[tex]cupcakes= 2.75\\cookies= 3.00[/tex]

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There are 12 out of 20 homes that have a personal computer on a street with 80 homes how many would you expect to have a personal computer

Answers

Answer:

48

Step-by-step explanation:

12/20 = x/80

20x = 960

x = 48

Which expression is equal to 632?

Answers

Answer:

2*316

Step-by-step explanation:

All of the points in the picture are on the same line,
(6, 10)
(0,8)
(4.b)
(2.2)
1. Find the slope of the line. One
swer only:

Answers

Answer:

m=2

Step-by-step explanation:

use points (2,2) and (6,10)

(find y of slope)10-2=8

(find x of slope)6-2=4

8/4=2

What is the slope
Y=-2/5x+3

1. 2/5
2. -2/5
3. 3
4. -3

Answers

Slope is -2/5! The formula is y=mx+b and m is the slope.

Answer:

2. -2/5

Step-by-step explanation:

y = mx + b

m represents the slope and in this case, y = -2/5x + 3, -2/5 is in place instead of m so therefore -2/5 is the slope

Could I please get help with this, I’m very confused and don’t know how to do this. Please and thank you

Answers

Answer:

(See bolded numbers)

Factoring -1 out of negative numbers:

11) (-6) • (3)= (-1 • 6) • 3= -16 • 3= -18

-6 is the negative number here and factoring out -1 from -6 will give us -1(6). In the second last step, multiply 6 and 3 together then multiply the product by -1.

-1(6 ×3)= -1(18)= -18

12) (-4) • (-8)= (-1 • 4) • (-1 • 8)= 1 4 • 8= 32

Multiplying 2 negative numbers will give us a positive number. The 3rd step is 1 as (-1)(-1)= 1.

13) (-9) • (-5)= (-1 • 9) • (-1 • 5)= 195= 45

14) (2) • (-8)= 2 • (-1 • 8)= -128= -16

Negative numbers are numbers with a negative sign and are numbers less than zero. Factoring -1 out of negative numbers will leave us with the positive number.

Which of the following functions has the steepest slope

Answers

Answer:

B. y=5x-2

Step-by-step explanation:

Basically the larger the number in front of x, the steeper the slope.

how many terms does the expression q÷2 +g-2k​

Answers

Answer:

3

Step-by-step explanation:

please solve this correctly i will give 50 points and brainliest

Answers

X is equal to 117 |r andom characters don’t mind hhhhhh

Answer:

I think it is 27 degrees.

I am NOT sure about it though

Suppose that in a country of 72 million people, about 3600 die from drowning each year. What is the percent chance that a person will drown in a given year?

Answers

Answer:

Percent of people die for drowning = 0.005%

Step-by-step explanation:

Given:

Total population = 72,000,000

Number of people die for drowning = 3,600

Find:

Percent of people die for drowning

Computation:

Percent of people die for drowning = [Number of people die for drowning/Total population]100

Percent of people die for drowning = [3,600 / 72,000,000]100

Percent of people die for drowning = 0.005%

The local pizzeria charges $2.50 per slice. It costs you $3 for a large drink to go with your meal. How much would it be if you wanted to go get 4 slices of pizza and the drink?

Answers

Answer:

13 dollars

Step-by-step explanation:

2.50x4= 10

10+3=13

Answer:

$13

Step-by-step explanation:

You would multiply $2.50 by 4 so $2.50×4=10

Then add the 3 so $10+$3=$13

ASAP plsss I am failing help me

Answers

Answer:
Y=-4/3x+2
Slope: -4/3
Y-intercept is 2

Answer:

y=-4/-3-6   this is the answer I got Hope this help :)

Step-by-step explanation:

m=     y2-y1                                     y=mx+b

m=  x2-x1                                     -2 = 3(-4/-3) +b

                                             -4=      4

-2-2= -4                                   = -6 =b

3-0 =-3          x=-4/-3  

I'm struggling to answer this

Answers

Answer:

answer is 3/2 ... correct answer is 3/2 ...

Answer:

1 1/2

Step-by-step explanation:

... i did the math... You get 3/2 but it says to put it in mixed form and its mixed form is 1 1/2

Enter the rule (equation) for the table:
Answer: y=

Answers

y is equals to 3

Explanation:
1+3 is 4 and 4+3 is 7 and it continues

a retired statistician was interested in determining the average cost of a 200000 term life insurance policy for a he randomly sampled 65 subjects what value of alpha was used to create this confidence interval

Answers

Answer:

The correct option is the second option

Step-by-step explanation:

From the question we are told that

   The average cost is  [tex]\mu = \$ 200 000.00[/tex]

   The sample size is  n =  65  

    The upper limit of the 95% confidence interval is  $1050.00

     The lower limit of the 95% confidence interval is $850.00

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

graph y = -(x-3)^2+4

Answers

Vertex: (3,4)(3,4)

Focus: (3,154)(3,154)

Axis of Symmetry: x=3x=3

Directrix: y=174y=174

help me pls!! thank you!!

Answers

The answer would be 17, 990

Answer:

$17990.00

Step-by-step explanation:

Add the tuition fees plus everything else on the table, then multiply it by two.

3250 + 120 + 4650 + 475 + 500 = $8995.00

$8995 * 2 = $17990.00

what is the value of a

Answers

Answer:

The Value of a could be anything, as a represents a variable.

Answer: well if you had a pic i could help but if not then the value of a could be anything

Step-by-step explanation:

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