What is the root of polynomial function

Answers

Answer 1

Answer:

The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to zero

Step-by-step explanation:


Related Questions

help me pls UoU Uwu
\djjn

Answers

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

[tex]\frac{18-14}{1-0}[/tex]

Simplify:

18 - 14 = 4

1 - 0 = 1

[tex]\frac{4}{1}=4[/tex]

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

what is the surface area of the triangular prism represented by the net below?

Answers

9514 1404 393

Answer:

  608 cm²

Step-by-step explanation:

The central rectangle is 10+12+10 = 32 cm high and 16 cm wide. Its area is ...

  A = LW = (32 cm)(16 cm) = 512 cm²

Each of the two triangles on the side have an area of ...

  A = 1/2bh = (1/2)(12 cm)(8 cm) = 48 cm²

There are two triangles and one rectangle, so the total surface area is ...

  total area = rectangle area + 2 · triangle area

  total area = 512 cm² +2(48 cm²) = 608 cm²

PLEASE HELP, WILL MARK BRAINLIEST !!!

Answers

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 3 ] , then

f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2

f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus

average rate of change = [tex]\frac{-2-12}{3-(-4)}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2

Answer is -2 have a nice day!

Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?​

Answers

Answer:

a = 9, b = 3

Step-by-step explanation:

The exponential function is

y = a [tex]b^{x}[/tex]

Find a and b by using the points it passes through

Using (0, 9 ) then

9 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 )

a = 9

y = 9 [tex]b^{x}[/tex]

Using (3, 243 ) then

243 = 9b³ ( divide both sides by 9 )

27 = b³ ( take the cube root of both sides )

b = [tex]\sqrt[3]{27}[/tex] = 3

y = 9[tex](3)^{x}[/tex] ← exponential equation

simple math
Maria wants to measure the length of her thumb using a nonstandard unit. Which object would be the best for Maria to use?
A stapler
B chalkboard eraser
C book
D paper clip

Answers

paper clip. a paper clip would be about the size of her thumb so she would be able to use. for example, her thumb is 2 paperclips long. therefore the answer would be paperclip.
give me brainliest :D

4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!

Answers

Answer: 12

Step-by-step explanation:

you have to distribute. after you distribute you should have 4m-12=36. 4 times 12 equals 48. then you subtract the 12 and you get 36. so m equals 12. i haven’t done this in awhile so sorry i cant explain it

can a hexagon have angles that measures 85,62,135,173,and 160

Answers

Answer:

If the sum of those angles adds up to 720 degrees, then they can be the angles of a hexagon. Your sum is 615.

Step-by-step explanation:

Hope that helps!


What is the solution to the inequality ?

Answers

"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.

An office spends $350 per month on office supplies. The manager
wants the company to decrease office supply costs by 16%. How
much money would that save each month?
А
$334
his
B $54
C $294
D $56

Answers

Your answer is c.......

The sum of the digits of a two digit number is eight the digits are reversed the number increases by 18 find the original number

Answers

Answer:

The two digit number is 35.

Step-by-step explanation:

Let xy be the two digit number

According to given statement

[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]

The place value of xy is 10x+y

Reversing the number will be: 10y+x

It is also mentioned that the new number is previous number increase by 18

So,

[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]

From equation 2

[tex]y = 2+x[/tex]

Putting in equation 1

[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]

Putting x = 3 in equation 1

[tex]3+y = 8\\y = 8-3 = 5[/tex]

xy = 35

Hence,

The two digit number is 35.


Solve for x.

I need help

Answers

Answer:

x = 35

Step-by-step explanation:

The segment from the vertex of the triangle is an angle bisector and divides the opposite side into 2 segments that are proportional to the other 2 sides, that is

[tex]\frac{20}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )

8x = 280 ( divide both sides by 8 )

x = 35

Find the slope of a line passing through the points (3,2) and (-1,8).

Answers

Answer:

[tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m= \frac{8-2}{-1-3}[/tex]

[tex]m=-\frac{6}{4}[/tex]

Simplify

[tex]m=-\frac{3}{2}[/tex]

PLEASE PLEASE HELP I WILL GIVE BRAINALSIT

Answers

Answer:

On the first one the answer is 420 so you would have to go up and write 360 then 420 and down on 360 youll put 6 minutes and on 420 youll put 7 minutes and then you will write that the answer is 420

Hope this helps

Find the slope of the following given points (-3, 1) and (5, 17)

Answers

Answer:

slope is 2

Step-by-step explanation:

find the change in y and x to then divide them

17-1/5- -3 = 16/8 = 2

Evaluate f(x) =-3x + 7 for x = 2

Answers

f(x)=-3(2)-7
f(x)=-6-7
f(x)=-13

Answer:

F(x)=1

Step-by-step explanation:

Just add in 2 were x is. f(x)=-3(2)+7 then multiply -3(2) which is -6 then add 7

If 84 J of work are exerted to pull a wagon, how much force does it take to pull the wagon 7.0 m? Round your answer to the nearest whole number.
It takes N of force to pull the wagon.

Answers

Answer:

12N

Step-by-step explanation:

force=workdone/distance

=84/7

=12N

hope it helps

Answer:

12n

Step-by-step explanation:

Question in picture solve

Answers

Answer is the 3rd option

Evaluate when c=5 and d=10
5 x d ÷ c + 2=12

Answers

Step-by-step explanation:

First we need to remember the rule of PEMDAS and then simplify.

5×10/5+2=12

Multiply

50/5+2=12

Divide

10+2=12

Add

12=12

Find f(-3) if f(x) = x 2.

Answers

Answer:

...

Step-by-step explanation:

F(-3)=-6 because -3 * 2 = -6

5, 2, -1, -4

What is the next term in the sequence?

How did you find this number?

Answers

Answer:

-7 - 10

Step-by-step explanation:

Take it away from 3

Answer:

the next term is -7, they subtracted 3

Step-by-step explanation:

I found the difference between 5 and 2

1) 5-3=2

2)2-3=-1

3)-1-3=-4

4) -4-3=-7

They each subtract 3

A bakery mixes cookie dough in large batches. For chocolate chip cookies,10 cups of sugar and 20 cups of flour are needed. Write the ratio of sugar to flour for chocolate chip cookies. Express your answer as a simplified ratio.

Answers

Answer:

1 cup of sugar for every 2 cups of flour 1:2

Step-by-step explanation:

The ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A bakery mixes cookie dough in large batches.

For chocolate chip cookies, 10 cups (2,365.88 ml) of sugar and 20 cups (4,731.76 ml) of flour are needed.

Then the ratio of sugar to flour for chocolate chip cookies to maintain the same taste, will be

Let S be the amount of sugar and F be the amount of the flour.

Then the ratio of sugar to flour will be

S / F = 10 / 20

S / F = 1 / 2

Thus, the ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

PLEASE HELP ASAP!!! MAKE SURE YOU KNOW YOU’RE CORRECT (sometimes people put wrong answers)

Answers

Scroll down for answer!

3y^2 + 12 = 96

Subtract 12 from each side
3y^2 = 84

Divide each size by 3
y^2 = 28

Find the square root of each side
y = sqrt28

y = 5.29 (rounded to the nearest hundredth)

Amari rakes leaves for $10.85 per yard. If Amarirakes 5 yards, how much money does he have?

Answers

Answer:

$54.25

Step-by-step explanation:

Answer:

54.25$ for raking 5 yards

Step-by-step explanation:

1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 1

xy 0


2. A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.

At least how many small machines can you fit so that it will not exceed the weight limit of the truck?

(1 point)

no more than 50

no more than 45

no less than 50

no less than 45


3. It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?

56 miles per hour

30 miles per hour

64 miles per hour

50 miles per hour


4. Raphael is timing how fast he can do a series of 5 math questions, aiming to complete them in less than 20 minutes. He has done 3 questions so far, with each of them taking 3 minutes to complete.

On average, how much time does Raphael have on each remaining question so he can reach his goal?

Raphael has no more than 5 minutes and 50 seconds to complete each remaining question.

Raphael has less than 5 minutes and 50 seconds to complete each remaining question.

Raphael has less than 5 minutes and 30 seconds to complete each remaining question.

Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.




5. A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?

no more than $150

less than $250

less than $150

no more than $250

Answers

Answer:

1, no more than 50

2. 50 miles per hour

3.Raphael has no more than 5 minutes and 30 seconds to complete each remaining question.

4. less than 4250

Step-by-step explanation:

In 2013, Blue Ridge Parkway was visited by about 1.9 x 107 people. That same year, Great Smoky Mountains National Park was visited by about 9.3 x 106 people. How many more people visited Blue Ridge Parkway than Great Smoky Mountains National Park in 2013?

Answers

Answer:

um

Step-by-step explanation:

help me answer 2/9 divided by 1/6

Answers

1.33333

Step-by-step explanation:

Don't worry it checks out.

Answer:

1.33333333333

Step-by-step explanation:

who mISSES SCHOOL? because i dont rlly...

Answers

Not at all, I was doing online school before quarantine started, so this is all normal for me lol

i miss hangout with friends but i hate school

which inequality matches the graph?​

Answers

Answer:

The inequality -3x + 2y ≥ 7 matches the graph ⇒ D

Step-by-step explanation:

The slope of the line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]

From the given graph

∵ The direction of the line is increased from left to right

∴ The slope of the line is positive

∵ The line is solid and the shaded area is over the line

∴ The sign of inequality should be

→ We have only one answer that has a sign of inequality ≥, let us check

  its slope

∵ -3x + 2y ≥ 7

a = -3 and b = 2

∵ m = [tex]\frac{-a}{b}[/tex]

∴ m = [tex]\frac{-(-3)}{2}[/tex] = [tex]\frac{3}{2}[/tex]

∴ The slope of the line is positive

The inequality -3x + 2y ≥ 7 matches the graph

what is the possibility that a randomly selected person is on the swim team

Express the probability as a percent rounded to the nearest tenth of a percent​

Answers

Answer:

What is the probability that a randomly selected person is on the swim team?

28 out of 67 people are on the swim team

so that's 28/67

41.7910448% round to the nearest tenth

41.8% is the answer.

Step-by-step explanation:

Find the 11th term of the arithmetic sequence 1, 4, 7, 10, ...

Answers

Answer:

Step-by-step explanation:

1,4,7,10

r=3

a1+10r=a11

a1+30=a11

a1=1

a11=31

Answer:

[tex]a1 = 1 \\ d = 4 - 1 = 3 \\ a11 = a1 + 10d \\ a11 = 1 + 10 \times 3 \\a11 = 1 + 30 = 31 \\ thank \: you[/tex]

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Thebanks financial adviser suggests thatSylvestor consider certificates of depositor possibly mutual funds, and Frugalasuggests that he buy more life insurance.1. What financial intermediaries doesSylvestor use or consider using?2. Where would Sylvestor go to talk to astockbroker?3. If Sylvestor waits a year, how muchmoney will he have available to invest? Find the volume of the cube or rectangular prism in cubic centimeters Which best describes a metal such as Silver (Ag)?Group of answer choicesBrittle, a good conductor, and ductile.Lustrous, malleable, and forms cations.Dull, highly reactive, and a semiconductor.Low melting point, forms anions, good insulator. After a time, she heard a little pattering of feet in the distance and she hastily dried her eyes to see what was coming. It was the White Rabbit returning, splendidly dressed, with a pair of white kid-gloves in one hand and a large fan in the other. 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