Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?


Part B

What are the zeroes of the above polynomial function?

A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only

Part A Based On The Graph, How Many Zeros Does The Polynomial Function, F(x) = -x^4 - 3x^3 + 6x^2 + 8x

Answers

Answer 1

Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2C

Step-by-step explanation:

The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0

Part A:

In the given graph

∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

The zeroes of the polynomial function f(x) are -4, -1, 0, 2


Related Questions

What is the value of a?

–31
–7
–5
–1

Answers

Answer:

i think its -31

Step-by-step explanation:

if im wrong im sorry

Answer:

D. -1

Step-by-step explanation:

Edge

what would you do if u got hurt really bad and how would u deal with it???? 5 sentences

Answers

Answer:

I would call for help, calm myself down, and try not to cause a scene. once I get help I won't panic or the situation will get worse. I'll stay positive and let my self heal for however long I need to rest for. Then when i'm better i'll make sure not to make the same mistake again and be more careful.

Step-by-step explanation:

Solve this system of equations using elimination.
X-6=-17
-2x+12y=7

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(−11,−5/4)

Equation Form:

x=−11,y=−5/4

A cookie contains 150 calories. If you eat no fewer than 2 cookies and no more than 8 cookies, how many calories will you consume?

What would the inequality look like

Answers

Answer: 300cal ≤ y ≤ 1200 cal

Step-by-step explanation:

Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.

"if you eat no fewer than 2 cookies..."

This is written as:

2 ≤ x

This means that x can be equal to 2, or larger than 2.

"...and no more than 8 cookies"

This is written as:

x ≤ 8

This means that x can be smaller than 8 or equal to 8.

If we combine those two, we have:

2 ≤ x ≤ 8

And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:

2*150 cal  ≤ y ≤ 8*150 cal

300cal ≤ y ≤ 1200 cal.

− ∣2x + 4∣ + 3 = -4

Confusion has entered my brain.

Answers

Answer:

[tex]x=\frac{3}{2}[/tex]  or  [tex]x=-\frac{11}{2}[/tex]

Step-by-step explanation:

Step-by-step on how to solve it is in the image below.

Hope this helps! :)

Find the 82nd term of the arithmetic sequence -10,6,22

Answers

Answer:

a(82) =1286

Step-by-step explanation:

a(n) = a +(n-1)d

a=-10

d=6+10=22-6=16

°.° a(n) = -10 +(n–1)16

a(82) = -10 +(82–1)16

         =-10+(81x16)

         =1286

hope this helps

what is 28r-9(2r+6) simplied?

Answers

Answer:

10r-54

Step-by-step explanation:

Answer:10r-54

28r-9(2r+6) bring -9(2r+6) that gives us -18r-54 then we bring back the 28r translating to 28r-18r-54 simply 28-18=10 so 10r-54.

square root of 7-?
.............................

Answers

Answer:

2.64575131106

Step-by-step explanation:

Answer:

Do you mean -7?

If so the answer is 2.64575131i

(The square root of just seven is the same answer but without the i, in other words 2.64575131 )

what is the y-intercept of the graph of the function ​

Answers

The y-intercept is where the line(s) cross the y-line

So your answer is.
-5

I hope this helps!!

Answer:

(0,-5)

Step-by-step explanation:

It is where the line meets the y axis

This is my question yall

Answers

Answer:

4

Step-by-step explanation:

12/6=2 2+2=4

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

Leslie's answer shows 10 hundredths, which is the same as the 1 tenths in Paul's answer. So both answers are correct.

Step-by-step explanation:

A zero at the end of a decimal number is redundant, it makes no different to the value. It's kind of like how 010 is equal to 10. There is no point in the extra zero at the front. I hope this helps!

You and a friend decide to sell cookies to raise
money for a local fundraiser. After d days, you
have raised (5d + 6) dollars and your friend has
raised (6d + 2) dollars. Write an expression that
represents the total amount of money that you
raised together

Answers

combined like terms 11d+8

I already named the shape I just need help solving for x​

Answers

Answer:

3 =x

Step-by-step explanation:

The sides are all equal length

x+5 = 3x-1

Subtract x from each side

x+5 -x = 3x-1 -x

5 = 2x-1

Add 1 to each side

5+1 = 2x-1+1

6 = 2x

Divide by 2

6/2 = 2x/2

3 =x

Scientists find a wooden spoon and they want to use Carbon dating to out how old it is. If the amount of carbon left is 85% of its original amount, how old this artifact? (Note here that we are actually finding the age of the wood from which the spoon was made

Answers

Answer:

1,336 year (Approx)

Step-by-step explanation:

Half life of carbon 14 = 5,700 year

Equation used for carbon dating:

t = [5,700/In2]ln[N]

t = [5,700/In2]ln[85%]

t = [5,700/In2]ln[0.85]

t = 1,336 year (Approx)

What is the circumference?
7 ft

Answers

Answer:

C = 7π

Step-by-step explanation:

Diameter: 7 feet

Formula: C = πd (Circumstance = π × Diameter)

C = 7π

Carl Cornfield has been wondering whether he should plant white corn this year. He decides to sample 100 customers. 38% say they would purchase white corn. Carl wants to have a 95% confidence interval for this proportion.

The confidence interval is from 33% to 43% (to the nearest percent).

True
False

Answers

Answer:

true

Step-by-step explanation:

Complete the steps to solve for x.
-0.51x + 0.21x = 6.3
-0.51x + 0.21x = 6.3
x= 6.3

Answers

Answer -7.66 because I said it was lol JK:) I took the test and I got that answer correctly

Which is the equation of a line that has a slope of -5 and passes through point (-3,-1)? O y=-3x+1 O y=-3x+3 O y=-x-1 O y=-x-3 3​

Answers

Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.

Answer:

The equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:

y = -5x - 16

Step-by-step explanation:

Given

slope = m = -5point = (-3, -1)

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

Here:

m is the slopeb is the y-intercept

Now, substituting m = -5 and (-3, -1) in the slope-intercept form of the line equation  to determine the y-intercept 'b'

[tex]y=mx+b[/tex]

-1 = -5(-3) + b

switch sides

-5(-3) + b = -1

15 + b = -1

b = -1 - 15

b = -16

Now, substituting m = -5 and b = -16 in the slope-intercept form of the line equation  to determine the equation of a line

[tex]y=mx+b[/tex]

y = -5x + (-16)

y = -5x - 16

Therefore, the equation of a line that has a slope of -5 and passes through the point (-3,-1) will be:

y = -5x - 16

Note: Your answer choices are not clear, thus I have solved the complete question which anyways should be able to clear your concept.

A metal manufacturing company reduces the length of a 12.5-inch cylindrical rod, after which the rod measures 7.8 inches. How many inches was the rod shortened by?​

Answers

Answer:

4.7 inches

Step-by-step explanation:

The original is 12.5, and it was shortened to 7.8. So take the original, subtract the result, and you will get the answer.

12.5-7.8=4.7

Answer:

4.7 inches hope it helped

Factor this -5x2 + 15x + 140

Answers

Answer: -5( x - 7) (x + 4)

Step-by-step explanation:

Factor the polynomial.

Answer: 5(3X+26)

Explanation: M a t h w a y

A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.

Answers

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

2 - x = 13 what is the value x

Answers

Answer:

-11 because if you take a positive number and subtract a negative number you get a positive number and the two subtraction simboles (2- - 11 = 13) cancel eachother out and make the equation and addition instead of subtraction

(Does that help?)

Step-by-step explanation:

Please help i need this ASAP! C(x)=0.7x^2-210x+27,738
Do not round your answer

Answers

Answer:

27/x

Step-by-step explanation:

i need help with the picture down below. asap if you could.

Answers

Answer:

3x - 5y = -55

Step-by-step explanation:

is 9.22222 a irrational number

Answers

Answer:

No

Step-by-step explanation:

9.222222 is not a irrational number.

Hope this helps plz hit the crown :D

Answer:

yes it is

Step-by-step explanation:

Evaluate 11 1/2 +(−4 2/3)x for x=6​.
A. −17 1/2
B. −16 1/2
C. 36 1/6
D. 39 1/2

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Which polynomial function could be represented by the graph below?

On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).

f(x) = x2 + x – 2
f(x) = 2x2 + 2x – 4
f(x) = x2 – x – 2
f(x) = 2x2 –2x – 4

Answers

Answer:

B! just took it!

Step-by-step explanation:

Answer:

B. f(x) = 2x2 + 2x – 4

Step-by-step explanation:

it's lit!!!

Please help!! answer choices and question below

Answers

Answer:

3 because 3 times 4 is 12 and 18 divided by 6 is 3

Step-by-step explanation:

LINEAR EQUATIONS
2(x-1)=3(x+1)

Answers

X = -5. Hope this helps!

Find the slope-intercept equation of the line.
I need the equation not the answer
Help plz

Answers

Answer:

y=4/5x+4

Step-by-step explanation:

Other Questions
I need this for sis!:D I will give thanks! The next question refers to the dialogue that follows. The paragraphs have been numbered to help you identify them more easily.(1) Logan sighed as he sat on the couch. "I can't believe we're stuck at home on the Fourth of July!"(2) "I blame Dad," said Kerry. "He should have driven us to see fireworks instead of taking Mom to a movie."(3) "It's going to be pretty boring watching fireworks on television," said Logan.(4) "Oh, I've got better plans than that," laughed Kerry. "I've got four firecrackers and two model rockets. Care to join me in the backyard?"Which paragraph features dialogue that reveals information about the setting? (10 points) a Paragraph 1 b Paragraph 2 c Paragraph 3 d Paragraph 4 Can someone please quickly help me out. How did moving the Roman capital to Constantinople lead toincrease of Christianity in the empire? Question 12 (3.33 points)What was the purpose of the series of conferences President Hoover conducted in1930 in response to the economy?||O to inform the American public about how the government was handling thecrisisO to discuss social improvement projects with members of CongressOto force companies to rehire the workers they had laid offto convince business leaders to retain workers and maintain wages A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.The slope is . I can't stand your blind hope. I don't want to hear your optimism about this land of possibility when I see no proofwhat does this tell us about esperanza?ASAP!!! I GIVE U 20 POINTS!!! 19) If you choose from the following M 8 M colors, what is the probability that you choose blue? 5 green 6 yellow 8 blue 7 brown7/263/268/261/26Whats the answer Why do -8 and 8 have the same absolute values? When a ball is thrown into the air, the path that the ball travels is modeled by the parabola y 5 = 0.05(x 10)2, measured in feet. What is the maximum height the ball reaches? HELP PLEASE! a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft IDENTIFY LIKE TERMS5y + 15 - 80 - 10y Please help 20 points and brainiest The slope of the line segment above isTrueFalse An hourglass is turned over with the top part filled with sand. After 3 minutes, there are 855 mL of sand in the top half. After 10 minutes, there are 750 mL of sand in the top half. Select the equation that represents this situation.A y = 285x B y = 10.5x + 900 C y = 75x D y = 15x + 900 IF U GET THIS RIGHT I GIVE U BRAINLIEST Is the relation a function? 1)An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How manyhours does it take to use one gallon?A)B)gallon per hour, 1 hourgallon per hour, 3 hours3 gallons per hour, 5 hourgallon per hour,1 hourD What was the goal of the Stono Rebellion?abOdEnslaved Africans wanted to escape to Florida.The settlers wanted to be independent from Britain.The French wanted to get control of the fur trade.Native Americans wanted to get their land back. A system of linear equations is...AOne EquationBAlways more than 2equationsCA set of 2 or moreDMath Magic I really need help... PLEASEEEE!!