Given that the polynomial f(x) has degree 8, which of the following most accurately describes the number of turning points of f(x)?

Answers

Answer 1
You cannot answer this question with the information supplied.
The x intercepts are the roots of the polynomial f(x) = 0.
The fundamental theorem of algebra says that the number of roots of this equation is 9, but not necessarily all of them are real; therefore the MAXIMUM number of x intercepts is 9.
However, since f(x) is of odd degree it must have at least one real root; therefore, the MINIMUM number of x intercepts is 1.
Answer 2

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.

Generally, the number of turns is one less than the degree of the polynomial.

Hence,  the polynomial f(x) that has a degree of 8 will have 7 turning points.

Learn more about Polynomials:

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Related Questions

Which of the following points does not lie on the graph of y=5x-5?
(0-5)
(1.0)
(-5.0)

Answers

y=5x-5
0=5x-5
-5x=-5

X=1

Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.

y = 2x ; (4, −4)

Answers

Answer:

y = -0.5x -2

Step-by-step explanation:

if two lines are perpendicular, their product equals -1

_________________________________________

let the equation of required line be

y = mx + b as given in the problem to be slope intercept form

m = slope

given line

y = 2x

it is also in y = mx + b , comparing this with y =2x

m = 2 and b =0

now

as product of two perpendicular lines = -1

m*2 = -1

thus

m = -1/2 = -0.5

thus,

slope of required line is -0.5

in y = mx + b

m = -0.5

thus,

y = -0.5x + b

given that this line passes through(4,-4)

putting y = -4 and x = 4 in this equation we can find value of b

-4 = -0.5*4 + b

-4 = -2 + b

=> -4 + 2 = b

thus, b = -2

Thus, slope intercept form of equation is y = -0.5x -2

Since every square has 4 sides that are equal in the length, write an expression to determine the perimeter of a square in terms of the length of the squares sides?

Answers

9514 1404 393

Answer:

  4s

Step-by-step explanation:

Let s represent the length of each of the four sides of the square. The perimeter is the sum of the lengths of the sides, so is ...

  s + s + s + s

We use multiplication to signify repeated addition. So, this can be written more simply as ...

  4s . . . . perimeter of a square of side length s

Find the missing number in the figure?

4

?
6







3



Answers

Answer:

2, cause 4/2=2,6/2=3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Simplify |-3| + 6 ÷ (4 - 1) • 8.

8
13
19
24

Answers

Answer:

C: 19

Step-by-step explanation:

To start we would resolve the absolute value of [tex]|-3|[/tex]. We know that absolute value is the distance from zero so it would be 3.

Our new equation is [tex]3+6/(4-1)*8[/tex]

Now we need to solve in the order of PEDMAS starting with parenthesis to get [tex]3+6/3*8[/tex]

Next in PEDMAS we have Division/Multiplication since we don't have any exponents. We do all the division and multiplication left to right so we would divide to get [tex]3+2*8[/tex]  and then multiply to get [tex]3+16[/tex].

Finally, we only have addition left over so our answer would be [tex]19[/tex]

PLZ HELP IM RUNNING OUT OF TIME!!! THIS IS A SIMPLE EXPLANATION PROBLEM PLEASE HELP!!!

The equation 7(x − 4) = 8(x + 8) has one solution. Which of the following best explains why?
A.
The x-terms are the same, but the constant terms are different.


B.
The x-terms are different, and the constant terms are different.


C.
The x-terms are the same, and the constant terms are the same.


D.
The x-terms are different, but the constant terms are the same.

Answers

Answer:

C.  The x-terms are the same, and the constant terms are the same.

Step-by-step explanation:

Solve for x:

7 (x - 4) = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the left hand side:

7 x - 28 = 8 (x + 8)

Hint: | Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the right hand side:

7 x - 28 = 8 x + 64

Hint: | Move terms with x to the left-hand side.

Subtract 8 x from both sides:

(7 x - 8 x) - 28 = (8 x - 8 x) + 64

Hint: | Combine like terms in 7 x - 8 x.

7 x - 8 x = -x:

-x - 28 = (8 x - 8 x) + 64

Hint: | Look for the difference of two identical terms.

8 x - 8 x = 0:

-x - 28 = 64

Hint: | Isolate terms with x to the left-hand side.

Add 28 to both sides:

(28 - 28) - x = 28 + 64

Hint: | Look for the difference of two identical terms.

28 - 28 = 0:

-x = 64 + 28

Hint: | Evaluate 64 + 28.

64 + 28 = 92:

-x = 92

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of -x = 92 by -1:

(-x)/(-1) = -92

Hint: | Any nonzero number divided by itself is one.

(-1)/(-1) = 1:

Answer: x = -92

Can Someone Help Me. ?

Answers

Answer:

angles BED and DEA, and angles AEC and BEC are supplementary angles

Step-by-step explanation:

If you do not know what supplementary angles are, then just know that it means two angles added together that equal 180 degrees. So, all you need to do is find two angles on the picture that equal 180 degrees when added together.

I hope this helps! :)

Estimate the product 4x279

Answers

Answer:

116

Step-by-step explanation:

es 116 porque lo cheque

Which of polygons B, C, D, E, andF are similar to polygon A? Select All of

Answers

The answer is E bro bro

17. The absolute value of -6 and 6 is

Answers

Answer:

6

Step-by-step explanation:

6....





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

which value would make the statement true?
2 4
— > —
? 12

O 4
O 6
O 12
O 24





Pls help guys.

Answers

Answer:

the answer is 6

Step-by-step explanation:

the answer is 6

you invest $2000 in an account that pays simple interest of 2% for twenty years. what amount of money will you have in 20 years

Answers

Answer:

$2971.9

Step-by-step explanation:

2000*(1+2%)^20 = 2971.895

Please help this is my last question

Answers

Answer:

14(3x-1) / 5x^2 (3x+ 1)

Step-by-step explanation:

Please let me know if I gloss over something you don't understand

1) First simplify the complex fraction:

This can be written as

18x-6/ 15x + 5  *  21x^2 / 9x^5

which can be simplified to

18x-6/ 15x + 5  *  7/ 3x^3

which can be written as

(18x-6) * 7 / 3x^3 (15x+ 5)

2)

factor 3 from the top of the expression

3(6x-2) * 7 / 3x^3 (15x + 5)

3)

reduce the fraction with 3

3(6x-2) * 7 / 3x^3 (15x + 5)

(6x-2) * 7 / x^3 (15x + 5)

4)

Distribute 7 through the parenthesis on the top

42x-14/ x^ 3 (15x+ 5)

5)

Distribute x^3 through the parenthesis on the bottom

42x-14/ 15x^4 + 5x^3

6)

factor 14 from the top of the expression

14 (3x -1)/ 15x^4 + 5x^3

7)

factor 5x^3 from the bottom

14 (3x -1)/ 5x^3 (3x + 1)

A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. X=number of used games y=number of new games which linear equation, written in standard form, expresses the scenario?

Answers

Answer:

12x+25y=300.

he can buy 25 used games .hope this helped!

Answer:

12x+25y=300

Step-by-step explanation:

Standard Form= Ax+Bx=C

12x, because $12 for each old video game (x) he gets.

25y, because for each new game (y) it costs $25.

total=300

plug in for standard form

Based on the number line about how many ounces are there in 8 pounds

Answers

There's 128 ounces in 8 pounds

Write an equation for the proportional relationship. Let X represent a length measured in meters and y represent the same length measured in centimeters. ​

Answers

Answer:

[tex]y=100x[/tex]

Step-by-step explanation:

Given that [tex]x[/tex] is the length measured in meters and

[tex]y[/tex] represents the same length measured in centimeters.

Let us first have a look at the relationship between meters and centimeters units of length.

1 unit of length in meters = 100 units of length in centimeters

Therefore, it can be said that:

2 units of length in meters = 200 units of length in centimeters

3 units of length in meters = 300 units of length in centimeters

4 units of length in meters = 400 units of length in centimeters

OR

[tex]x[/tex] units of length in meters = 100[tex]x[/tex] units of length in centimeters

It is given that [tex]y[/tex] is the length in centimeters.

Therefore, the proportional equation can be written as:

[tex]y=100x[/tex]

What is the range of the function represented by this graph?

Answers

Answer:

No answer but...

Step-by-step explanation:

Look at the graph, subtract the smallest number from the largest number.

Answer:

where is the graph

Step-by-step explanation:

take a screeshot and upload it next time


If 23 is subtracted from 8 times the number, the result is the square of 2 less than the number.

Answers

i believe the answer is 116.

23-8=15
8*15=120
sqrt2=4
the number 120-4=116

that’s what i got not sure if that is correct

-3x + 4 = -8



A. X = 4
B. X = -4
C. No solution
D. X= -4/3

Answers

Answer:

x=4

Step-by-step explanation:

subtract both sides then divide

Write down all the whole numbers between 1035 and 1041

Answers

Answer:

1035

1036

1037

1038

1039

1040

1041

Step-by-step explanation:

pls heart and brainliest

Answer:1036, 1037, 1038, 1039, 1040.

Step-by-step explanation:

the day Janella and her family left Hawaii, the temperature was 73°F above 0°F. what would a thermometer read at this temperature?

Please Answer​

Answers

Answer:

73° F

Step-by-step explanation:

Add 73° F to 0° F

The answer is 73° F

Hope I helped :)

Please consider Brainliest :)

Answer:

I think it would be 0 because I devided but i'll try a nother way

Step-by-step explanation:

(03.06 MC) What expression represents the value of y?

Answers

Answer:

[tex] y = \sqrt{wz} [/tex]

Step-by-step explanation:

The figure given shows the altitude (y) of a right triangle which is perpendicular to the hypotenuse (CA) of the triangle. The hypotenuse is divided by the altitude into two segments, w and z.

According to right triangle altitude theorem the relationship between y, w, and z is represented as follows:

[tex] y = \sqrt{wz} [/tex]

This expression represents the value of the altitude, y.

Answer:

y = wz with that check mark thingy over it

Step-by-step explanation:

i got the test

pleas y'all help me with this

Answers

Answer:

[tex]-\frac{26}{2}/ -\sqrt{9}/ 13.5(percent)/ 0/ 13.5[/tex]

Step-by-step explanation:

I NEED SOME HELP

Bobby rich dude has $120,000 in his account that pays him 5.5% compounded daily. What amount and how much interest will his money earn in 30-days?

Answers

Answer:

Interest: Amount Gained: $198,000

Final Balance: Amount After 30 days of Interest: $318,000

Step-by-step explanation:

Equation Used to Solve:

120,000 · 0.055 = 120,000 + (xy)

Let x represent 5.5% of 120,000

Let y represent the number of days.

Solving the equation:

120,000 · 0.055 = 6,600

x = 6,600; y = 30

120,000 + (6,600 · 30) = 120,000 + 198,000

120,000 + 198,000 = 318,000

He negotiated a 7% decrease on a 6 500 car he will pay the full balance in 12 equal months how much will he pay

Answers

Answer:

£503.75

Step-by-step explanation:

100-7=93

6500×0.93=6045

6045/12=503.75

Answer:

$503.75 per month

Step-by-step explanation:

%7 of 6500= 455

6500-455=6045

6045 divided by 12=503.75

In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?

Answers

Answer:

1:4

Step-by-step explanation:

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent or inconsistent​

Answers

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18  =1/2

​⇒  b1/b2=  3/6 =  1/2

⇒  c1/c2=  12/24=  1/2

comparing

⇒  a1/a2,b1/b2,c1/c2  

⇒  a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

how to solve function to value

Answers

[tex]\huge\bold\purple{Answer:-}[/tex]

Evaluating and Solving Functions

LEARNING OUTCOMES

Evaluate and solve functions in algebraic form.

Evaluate functions given tabular or graphical data.

When we have a function in formula form, it is usually a simple matter to evaluate the function. For example, the function

[Math Processing Error]

f(x)=5−3x2

can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.

HOW TO: EVALUATE A FUNCTION GIVEN ITS FORMULA.

Replace the input variable in the formula with the value provided.

Calculate the result.

EXAMPLE: EVALUATING FUNCTIONS

Given the function[Math Processing Error]

h(p)=p2+2p

, evaluate[Math Processing Error]

h(4).

HOPE IT HELPS ♥️

5-2.32=
what’s the answer

Answers

Answer:

2.68

Step-by-step explanation:

5 - 2.32

can be written as

5.00 - 2.32

so write that in verticle format and solve using carry-over subtraction

 5.00

- 2.32

______

 2.68

Again I’m struggling and need some help please?!

Answers

The answer is 137 square feet
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