Is it possible for an even degree polynomial to have no real zeros?

Answers

Answer 1

Answer:

All polynomial functions of positive, odd order have at least one zero (this follows from the fundamental theorem of algebra), while polynomial functions of positive, even order may not have a zero (for example x4+1 x 4 + 1 has no real zero, although it does have complex ones).

Step-by-step explanation:


Related Questions

Help Pleases!!
2^4x=8^x-3

Answers

Answer:

Step-by-step explanation:

If you change the bases to the same number, the exponents must equal each other.

what is the total area of the figure above ?

Answers

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:


Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?

Answers

Answer:

5b + 12c

Step-by-step explanation:

-5a +5 a = 0

12b-7b = 5b

12c= 12c

therefore you have the expression 5b+12c

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3

Answers

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is  54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

graph y=-2(x-5)(x+1)

Answers

Answer:

Y=2(x-5)(x+1)

Y=2x-10+2x+2

=4x-8

Y =4x-8

Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?

Earl runs
meters per second.

Answers

Answer:

2.5 meters a second

Step-by-step explanation:

Because I said so

Every three years the population of one part of Brooklyn is recorded.
In 2014 there was a population of 10,500 people.
From 2014 to 2017 the population increased by 22%.
From 2017 to 2020 the population decreased by 10%.
What was the population of this area in 2020?

Answers

Answer:

11,529

Step-by-step explanation:

10500x22%=2310

10500+2310=12810

12810x10%=1281

12810-1281=11529

Answer:

Hello there!

Your question asks to find what was the size of the population in 2017

Answer: 6,721

In order to solve this problem, we're going to need to use the given information in the question in order to find the population in 2017.

Key information:

In 2010, population was 6500

In 2014, population increased by 10% from 2010

In 2017, population decreased by 6% from 2014.

With the information above, we can solve the problem.

We're going to start with 6500 as our starting population.

We know that the population increased by 10% in 2014, so we would multiply 6500 by 1.10.

Step-by-step explanation:

Please help me! The problem ask you to identify the slope and the y-intercept of the line. And it ask to write the equation in slope intercept form

Answers

The y-intercept is 1

Determine the period​

Answers

Answer:

20

Step-by-step explanation:

A period is how long a wavelength takes.

By picking the maximum y point, you look for the X difference between the first maximum and the second one.

NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.

represent 35 in many ways

Answers

35 is an odd number and word form thirty five expanded form 30+5 and standard form 35

Answer:

............

Step-by-step explanation:

Thirty five

30+5

The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below

Answers

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

HELP!!! I need help with this question

Answers

Answer:

90 90909090909090909090909090

Can you guys give a Ratio problem for my class?

Answers

Answer:

no

Step-by-step explanation:

Find two fractions, when multiplied together make 3/4

Answers

Step-by-step explanation:

9/12 if we divided by 3

6/8 if we divided by 2

hope it helps u

The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The first fraction can be 1/2 when multiplied by the second fraction 3/2.

Therefore,

The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).

= 3/4.

learn more about fractions here :

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PLease help the question is in the photo

Answers

Bottom right, becasue you have more than 30, and less than or equal to 15 :)

the crowd at a sporting event is estimated to be 3000 people. the exact attendance is 2486 people. what is the percent error? pls help :)

Answers

Answer:

%error is the difference between the expected and actual 3000-2486=514 514/3000= 17.33% error




If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?

Answers

Answer:

3 of the pyramids

Step-by-step explanation:

Given:

Hexagonal Prism

Hexagonal based pyramid

Required

How many of the pyramid will fill up the prism

To do this, we start by calculating the volumes of both shapes.

Let V1 be the volume of the hexagonal prism

[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

Let V2 be the volume of the hexagonal based pyramid

[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2

[tex]Number = \frac{V_1}{V_2}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]

Convert division to multiplication

[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]

[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]

[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]

[tex]Number = 3[/tex]

How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

Answers

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?

Answers

Answer:

$110

Step-by-step explanation:

HELP WITH THIS ITS URGET

Answers

Understandable going to ask for help rn

PLEASE HELP ME




Melinda, Meredith, John, Mark, Stan, and Max are sitting at a table. What
fraction of the students have names that begin with the letter ‘M'? *
O 1/4
O 2/3
O 1/2
O 4/5



Answers

2/3

There are 6 people at the table and 4 of them have names that start with m. So the fraction is 4/6 and that simplified is 2/3

Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?

Answers

$27.83 is the total price

What is the minimum value for the function shown in the graph?

Answers

Answer:

2.5

The lowest point on the graph, or the minimum is at f(x)= 2.5

The minimum value of the given periodic function is, 2.5

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

A periodic function,

Period  = 3π

The value of the function is in the range of (2.5, 4.5)

So,

Maximum value = 4.5

Minimum value  = 2.5

Thus, the minimum value is 2.5

To know more about Functions check:

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The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?

Answers

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

Answer:

The width of the basketball court is 25 feet and the length is 50 feet

Step-by-step explanation:

Equations:

Let's make:

x = width of the basketball court

2x = length of the basketball court

The perimeter of the court is twice the width plus twice the length:

P = 2x + 2(2x)

P = 2x + 4x = 6x

It's known to be 150 feet, thus:

6x = 150

Dividing by 6:

x = 150/6

x = 25 feet

2x = 50 feet

The width of the basketball court is 25 feet and the length is 50 feet

The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?

The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.

Answers

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.

Can anyone help me with this please
I’ll mark you as a brainliest.

Answers

Its 43. All triangles add to 180 so 47 + 90 = 137. then subtract 180 - 137 and get 43
The answer is 137 degrees.

The measure of the last INTERIOR angle is 43 degrees. Since that angle and the missing exterior angle are both on a straight line, they must add up to 180 degrees.

180-43= 137

Vrite down the mathematical name of this 3-D shape.

Answers

Answer:

cube

cuboid

cylindrical

sphere

cone

What are the domain and range of the function f(x)=square root x-7 +9?

Answers

Answer:

Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.

Step-by-step explanation:

The domain is possible x-values while the range is possible y-values. This question look like

[tex] \sqrt{x - 7} + 9[/tex]

The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in

[tex] \sqrt{7- 7} + 9[/tex]

which equals 9. So the range is all real numbers greater than or equal to 9.

Answer:

I think that the short answer will be C) on edge.

Step-by-step explanation:

Edge 2021.

I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.​

Answers

So find the points and subtract them so
Y2-y1/x2-x1
I hope that helps the slash is like a fraction also

Help on these questions

Answers

Answer:

the answer is 42.

Step-by-step explanation:

(8)(5)−8+(2)(5)

=42

Answer:

1: 42

2: 107.6 °F

Step-by-step explanation:

For question 1 you insert the x and y values into the expression:

8 × 5 = 40 (xy = 40)

40 - 8 = 32 (xy - x = 32)

2 × 5 = 10 (2y = 10)

32 + 10 = 42 (xy - x + 2y = 42)

For question two you insert the celsius value into the expression:

9/5 × 42 = 75.6 (9/5C = 75.6)

75.6 + 32 = 107.6 (9/5C + 32 = 107.6)

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