State how many negative real roots there may be for the function.
f(x) = x³ +7x² - 5x + 19

4 or 2 or o negative real roots
2 or o negative real roots
3 or 1 negative real roots
1 negative real root

Answers

Answer 1

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

The function f(x) = x³ +7x² - 5x + 19 is a polynomial function of degree 3, which means it has 3 roots (also known as zeros or solutions) that could be real or complex.

To determine the number of negative real roots, we can use the fact that a cubic function has at least one real root.

x³ +7x² - 5x + 19

the first coefficient is positive, the second is positive, the third is negative, and the fourth is positive.

There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"

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Related Questions

if june 13 was on monday what day will it be on june 13 math

Answers

Answer:

Monday??????

SteP-by-step explanation:

What type of question is this it’s obviously Monday

will mark u brainliesst

Answers

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

The number of paid days off (e.g., vacation, sick leave) taken by 9 employees at a small local business is compared to the national average. You are hired by the new business owner to help her determine whether her employees take less days off than the national average, which is determined to be 13 days. The data for the 9 local employees during the last fiscal year are: 10, 11, 8, 14, 13, 12, 12, 11, 13. What is the effect size for these data and how should it be interpreted

Answers

Answer:

-0.80, is a large effect

Step-by-step explanation:

From the given information:

The mean of the sample = [tex]\dfrac{10+ 11+ 8+ 14+ 13+ 12+12+11+13}{9}[/tex]

= 11.556

Using Excel Formula:

The standard deviation = 11.8105

We are told that the population mean = 13

Thus, the effect size can be determined by using the formula:

[tex]Effect \ size = \dfrac{sample\ mean \ ( \bar x) - population \ mean \ \mu }{standard deviation (\sigma)}[/tex]

[tex]Effect \ size = \dfrac{11.5556 -13 }{1.8105}[/tex]

Effect size = -0.80

Thus, -0.80, is a large effect

A maple tree grows 1.5 feet each year. The table shows the yearly growth for a pibe tree

Answers

Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.

How to find the tree that grow faster

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows

f(x) = a(b)ˣ

12 = a(b)¹

24 = a(b)²

dividing 24 = a(b)² by 12 = a(b)¹

b = 2

hence for pine tree the b is 2 which is greater than 1.5

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It's all in the picture & please help!
~Rules~
a. SHOW WORK
b. NO LINKS/FILES
c. NO SILLY ANSWERS!
I will give out BRAINLIEST!
~Hocus Pocus

Answers

Answer:

Step-by-step explanation:

hi!

area:

both 7 by 4 sides: (7*4)2=56

both 3 by 7 sides: (3*7)2=42

both 3 by 4 sides: (3*4)2=24

add em up=56+42+24=122

i hope this answered your question. let me know if i missed something and ill fix it!

Gain and his three friends want to share 1/3 of a cake equally. Gavin says that each friend will get 1/9 of the cake. Use the drop-down menus to explain wether or not Gavin is correct.

Answers

Gavin is incorrect. To find how much cake each person gets, divide 1/3 by 4 or multiply 1/3 by one-fourth. Therefore, each of the friends gets one-twelfth of the cake.

Good Luck!

In the diagram below AH, AD, and DH are each tangent to circle Q.AT=9,AH=13, and AD= 15 what is HD

Answers

Maybe 14 I don’t k ow

Answer: 10

Step-by-step explanation:

I’m positive

An apple farmer finds that he has to throwout 30 bad apples from the 250 he has picked. What is the experimental probability that the next apples he picks will be good

Answers

Answer:

0.88 = 88% probability that the next apples he picks will be good

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, we have the number of outcomes a priori, that is, before the trial.

What is the experimental probability that the next apples he picks will be good?

250 apples, 250 - 30 = 220 good.

[tex]p = \frac{220}{250} = 0.88[/tex]

0.88 = 88% probability that the next apples he picks will be good

What fraction is equivalent to half

Answers

Answer:

1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)

Write the following expression in expanded form:9 to power of 3× 7to the power of 4

Answers

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:


= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}

Answers

The domain of the function whose graph shown in diagram is x ≤ 1.

What is the domain of a function?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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Write ✓ –28 in simplest radical form.

Answers

✓ –28 in simplest radical form is 27!!!

Please help I will give brainliest.

Answers

Answer:

Hello,

Step-by-step explanation:

m∠DHG=(11x-36)°

m∠GHF=(x+12)°

(11x-36)°+(x+12)°=180°

12x-24=180

x=17

m∠arc DG=(11*17-36)°=151°

Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?

Answers

Eric picks 17/40 baskets of strawberries more than Kiki.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

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There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter​

Answers

Answer:

Step-by-step explanation: total number of counters = 10

number of red counters= 3

number of blue counters= 2

number of green counters = 5

p(of getting a red counter) =3/10

p(of not getting a red counter) = 1-3/10= 10-3/10=7/10

PLEASE HELP ME PLEASE!

Answers

Answer:

Sample

Population

Step-by-step explanation:

Explain regent? its a term I've never heard of

Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)

Answers

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

How to rewrite the expression?

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

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He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150150150 new words per month when he lived in Brazil. In total, he learned 192019201920 new words.
How long did Wolfrich live in Portugal, and how long did he live in Brazil?

Answers

Answer:

He take 5 months in Brazil and 9 months in Portugal.

Step-by-step explanation:

Let us assume the number of months in Portugal be P

And, the number of months in Brazil be B

  So, the following equations are made

P + B = 14 ..............(1)

130P + 150B = 1920 .........(2)

We can easily write as  

P = 14 - B

Now put the value of P in the second equation

So,  

130(14 - B) + 150B = 1920

20B = 100

B = 100 ÷ 20 = 5

P = 14 - 5 = 9

 Hence, He take 5 months in Brazil and 9 months in Portugal.

A railroad crossing arm that is 20 feet long is stuck with an angle of elevation of 35". Find x and y in the illustration below.
Round to the nearest tenth as needed.
Note: The red line is NOT needed to solve this problem.
20 ft
35
yft
Select the correct response
Ox-32.9 feet; y=12.0 feet
x-11.5 feet, y-16.4 feet
x-12.0 feet, y-32.9 feet
x=16.4 feet, y=11.5 feet
< Previous

Answers

The angle of elevation of a 20-foot railroad crossing arm is fixed at 35 degrees. As necessary, round up to the next tenth. 20 ft, 35 ft, x -11.5 feet, y- 16.4 feet .

What is angle of elevation ?

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. The angle of elevation formula tan =QR/PR can be used to calculate the building's height (QR). Therefore, the building has 8 units of height. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, in the depression angle, the line of sight is downward and parallel to the ground.

When we multiply in algebra, we come before a variable with a number. In the same way, xy means to multiply variable x by variable y, while 7xy means to multiply variable x by variable y and then to multiply the entire expression by seven. Due to the complexity of how train-based questions are frequently presented, it is always advisable to read the question thoroughly before responding. After reading the question, try to use a formula in it; this may lead to a direct solution and save you time.

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how large a sample should be surveyed to estimate a true proportion of college students who do laundry once a week is within 3% with 95% confidence

Answers

The same thing that the other person got

Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4

Answers

Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

What is the value of ſIg(5)) if f(x) = * +2 and g() = x2 – 27

Answers

Answer:

[tex]f(g(5)) = 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x+ 2[/tex]

[tex]g(x) = x^2 - 27[/tex]

Required

[tex]f(g(5))[/tex]

First, calculate [tex]f(g(x))[/tex]

We have:

[tex]f(x) = x+ 2[/tex]

Substitute [tex]g(x)[/tex] for x

[tex]f(g(x)) = g(x) + 2[/tex]

Substitute [tex]g(x) = x^2 - 27[/tex]

[tex]f(g(x)) = x^2 -27+ 2[/tex]

[tex]f(g(x)) = x^2 -25[/tex]

Substitute 5 for x

[tex]f(g(5)) = 5^2 -25[/tex]

[tex]f(g(5)) = 25 -25[/tex]

[tex]f(g(5)) = 0[/tex]

help please I need help as soon as possible ​

Answers

Answer:

y = 1/2 x + 3.

A bag contains 27 balls. The ratio of red to blue to yellow balls is 6:1:2 find how many red, blue and yellow balls there are

Answers

Answer:

18 red balls, 3 blue balls, 6 yellow balls.

Step-by-step explanation:

Ratios:

a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.

In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.

In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.

Solving the Problem:

Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".

Using this logic, we can set up the following equation:

[tex]6G+1G+2G=27[/tex]

For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.

[tex]9G=27[/tex]

Now divide by 9

[tex]G=3[/tex]

Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.

[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]

and you can all this together, to double check, which gives us 27.

Answer:

18,3,6

Step-by-step explanation:

Given ,

A bag contains 27 ballsThe ratio of red to blue to yellow balls is 6:1:2

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6x+x+2x = 27

9x = 27

x = [tex]\frac{27}{9}[/tex]

x = 3

Hence the number of,

Red Balls = 6x = 6 x 3 = 18

Blue Balls = x = 3

Yellow Balls = 2x = 2 x 3 = 6

−x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. Linear-Quadratic Equation This system intersects in place(s).

Answers

Answer:

#1: This system intersects in A:  ✔ zero  place(s).

#2: Which statement is true?  C: There are no solutions.

Step-by-step explanation:

I just did the assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

This System of Quadratic equation is intersects at zero place.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

- x² + x + 6 = 2x + 8

Now,

The quadratic equation is;

- x² + x + 6 = 2x + 8

x² + 2x - x + 8 - 6 = 0

x² + x + 2 = 0

So, The solution of the quadratic equation is solve as;

x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1

x = -1 ± √1 - 8 / 2

x = - 1 ± √-7 / 2

x = - 1 ± √7i / 2

Clearly, It has no real solution do, it cannot cut at any point.

Therefore,

This System of Quadratic equation is intersects at zero place.

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Complete the sentence. __is 6 times as much as 2.​

Answers

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

1/3 is 6 times as much as 2

Use inequality notation to describe the set.
r is positive

Answers

Answer:

[tex]\text{c. }r>0[/tex]

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]

*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0            the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0            the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0            the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞           the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞           the equation is represented as r value is all negative numbers since the inequality sign is less than

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A boat is purchased for $51,000 and has a resale value of $42,000 after a useful life of 6 years. Using a book value depreciation chart, calculate the number of years until the book value of the boat is $48,000.

Answers

The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years

How to find the number of years ?

To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :

= ( Purchase price of boat - Resale value ) / Useful life

= ( 51, 000 - 42, 000 ) / 6

= 9, 000 / 6 years

= $ 1, 500 per year

In the first year, the value of the boat would depreciate to:

= 51, 000 - 1, 500

= $ 49, 500

In the second year, the value would depreciate to:

= 49, 500 - 1, 500

= $ 48, 000

It therefore takes 2 years for the book value to be $ 48, 000.

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1 +*
*+1
*+1
I + X
24

Answers

Answer:

i

Step-by-step explanation:

what a question answer to the questions

Martin flips a standard coin three times, what is the probability it lands on tails all three times?

Answers

Answer:

thirty-three percent

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