Evaluate the function for the given values of a and b then use the intermediate value theorem to determine which of the statements below is true.
a=-1 and b =0
f(x)=6x^3-9x^2-7x+3
a).f(-1) and f(0) have the same sign, therefore the function f has a real zero between -1 and 0
b.)f(-1) and f(0) have opposite signs, therfore the function f does not have a real zero between -1 and 0
c.) f(-1) and f(0) have the opposite sign, therefore the function f has a real zero between -1 and 0
d.) f(-1) and F(0) have the same sign, therefore intermediate value theorem cannot be used to determine wheter the function f has a real zero between -1 and 0

Answers

Answer 1

The function f has a real zero between -1 and 0. Therefore, statement c) is true.

To evaluate the function for the given values of a and b, we can plug in the values of a and b into the function and solve.

For a=-1, we get:

f(-1) = 6(-1)^3 - 9(-1)^2 - 7(-1) + 3 = 6 - 9 + 7 - 3 = 1

For b=0, we get:

f(0) = 6(0)^3 - 9(0)^2 - 7(0) + 3 = 3

Therefore, f(-1) and f(0) have opposite signs (one is positive and one is negative).

Learn more about the intermediate value theorem here:

https://brainly.com/question/11195842

#SPJ4


Related Questions

whats 21(2 - m) + 12m = 44. please

Answers

Answer:

= − 2 /9

Step-by-step explanation:

A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?

Answers

Answer:

the answer is 20+6h=15+8h

H= 6x + 20
H= 8x + 15

Kelly had an apple She cut it in half, and then she cut it in half again
She ate three pieces of the apple. How many pieces did Kelly have it?

Answers

Step-by-step explanation:

I think the answer is 3 pieces so Kelly had 3 pieces of Apple hope it helps.

3! i did a small think about it. its easy, I hope you can do it too

A certain high school reported that only 74% of its students enroll in a math class during senior year. If
there are 407 seniors enrolled in math at this school, how many seniors are in the school?

Answers

Answer:

550 students are in the school.

Step-by-step explanation:

The way I found my answer was by first turning 74% into a decimal, which is 0.74.  Then I divided 407 by 0.74 and I got 550.  Therefore, 550 is our answer.

Noah has 102 inches of border for poster board. He uses 7 feet of the border. How much border is left

Answers

Answer:

The answer is 18.

Step-by-step explanation:

You take 7x12 which is 84 and then you take 84 and subtract it from 102 inches so 102-84=18.

Hope this helps!

Noah after using 7 feet of the border is now left with 95 feet of the boarder.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

We also know about some basic properties of arithmetics,

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, Noah has 102 inches of the border for poster board and he uses 7 feet of the border.

Therefore, The amount of border left can be obtained by subtracting the length used from the total length which is,

= (102 - 7) feet.

= 95 feet.

learn more about arithmetic operations here :

https://brainly.com/question/25834626

#SPJ3

14.53 less then or greater then 16.3

Answers

Answer:

14.53 is less than 16.3, that is the answer

Answer:

14.53 is less than 16.3

yes this is mathematics

Whats the correct answer?

Answers

Answer:

5 m ........... . . ...........

Happy to help! :D please enjoy!! ❤️❤️❤️❤️❤️❤️❤️❤️

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

yeah the links are anoying

Step-by-step explanation:

the answer is C

mark brainliest or add heart and 5 stars or both

When eleven is reduced by one-third of a​ number, the result is 5
. Find the number.

Answers

Answer:

18

Step-by-step explanation:

11 - 1/3x = 5

Subtract 11 from both sides

-1/3x = -6

Multiply both sides by -3

x = 18

what is a good communication​

Answers

Answer:

text or video calls

Step-by-step explanation:

Answer: Employers value employees who can communicate effectively;

Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.

find the gcf of 2³×3² and 2³×3⁴ please no links

Answers

Answer:

Step-by-step explanation:

GCF - List out the prime factors that are common to both numbers

2³ * 3²

2³ * 3⁴

GCF = 2³ * 3² = 8 *9 = 72

Which equation shows x^2+6x-2 = 0 rewritten by completing the square?

A. (x+3)^2=18
B. (x+3)^2-11
C. (x+3)^2-2
D. (X+3)^2-9

Answers

Answer:

Option B.

Step-by-step explanation:

We have the equation:

x^2 + 6*x - 2 = 0

Remember that:

(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2

Because the term with x^2 has a coefficient equal to 1, then a = 1.

(x + b)^2 = x^2 + 2*b*x + b^2

The ter with x is: 6*x

then:

2*b*x = 6*X

2*b = 6

b = 6/2 = 3

we have:

(x + 3)^2 = x^2 + 6*x + 9

Now, our equation is:

x^2 + 6*x - 2 = 0

Now we can add the term (11 - 11) = 0

x^2 + 6*x - 2 + (11 - 11) = 0

x^2 + 6*x - 2 + 11 - 11 = 0

x^2 + 6*x + (11 - 2) - 11 = 0

x^2 + 6*x + 9 - 11 = 0

And we know that:

x^2 + 6*x + 9  = (x + 3)^2

Then we can rewrite our equation as:

(x + 3)^2 - 11 = 0

Then the correct option is B.

The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:

Move the constant term (-2) to the other side of the equation:

x² + 6x = 2

Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:

x² + 6x + (6/2)² = 2 + (6/2)²

x² + 6x + 9 = 2 + 9

x² + 6x + 9 = 11

Now, let's look at the answer choices:

A. (x+3)² = 18

B. (x+3)² - 11

C. (x+3)² - 2

D. (x+3)² - 9

Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.

To know more about equation:

https://brainly.com/question/29657983

#SPJ6

You have 32 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make? Whole servings only - round down rather than using partial servings.​

Answers

Answer:

25 cups and 3/5 of a cup

Step-by-step explanation:

Bro trust me

Answer:

25

Step-by-step explanation:

32÷1.25=25.6

I hope this helps ^-^

Which expression is equivalent to 8x - 12y + 32

Answers

4(2x-3y+8)

Hope its the correct answer

Answer:

C

-16(0.5x-0.75y+2)

Step-by-step explanation:

I got it right on edge 2022 Hope it helps <3

A computer engineer is investigating whether the amount of installed RAM (random access memory) can be used to predict the mean cost of a laptop with the operating system. The computer engineer collected a sample of 20 laptops with the same operating system. The engineer wants to estimate the mean change in the cost, in dollars, for each increase of 1 gigabyte of installed RAM. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate for such an investigation?

a. A two-sample z-interval for a difference between proportions.
b. A two-sample t-interval for a difference between means.
c. A matched-pairs t-interval for a mean difference.
d. A one-sample t-test for means.
e. A linear regression t-interval for slope

Answers

I agree with (a). As the best sentence

Find the mean absolute deviation for the set below. S = 65, 90, 85, 70, 70, 95, 55
A. 12.24
B. 75.7
C. 114
D. 32.67
(I’ll give points + brainalist)

Answers

Answer:

A) 12.24

Step-by-step explanation:

Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184

Answer:

75.7

Step-by-step explanation:

Complete the sentence.
9 is 36% of

Answers

Answer:

35

Step-by-step explanation:

[tex]\frac{9}{y} =\frac{36}{100}[/tex]

y × 36 = 9 × 100

36y = 900

36y ÷ 36 = 900 ÷ 36

y = 35

Answer:

25

Step-by-step explanation:

36%     9        

--------------       (36% over 100% and 9 over x)

100%    x

Cross multiply: 36% times x and 100% times 9

36% times x=36x

100% times 9=900

Divide: 900 divided by 36=25

25 is your answer

Hope this helped!

Bella was here :)

Margot has paid $13,800 in
rent for a year. How much is
her monthly rent, r?
Hint: Remember there are 12
months in a year.

Answers

Answer:

$1150 per month

Step-by-step explanation:

13800/ 12

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same position. For example, the Social Security numbers 120-90-1109 and 430-20-5402 have matching zeros.
Prove: Given a collection of 513 Social Security numbers, there must be two that match zeros.

Answers

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

[tex]n = 9[/tex] i.e. the length of each security numbers

[tex]r = 2[/tex] i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

[tex]Total = 2^9[/tex]

[tex]Total = 512[/tex]

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where [tex]n>m[/tex], then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

[tex]512 + 1 = 513[/tex]

At the book fair, Vald spends all of his money on new books. Pamela spends
2/3 as much as Vald. Eli spends 4/3 as much as Vald. Who spent the most?
The least?

Answers

Step-by-step explanation:

Lets take Vald spends $100 on the book fair which are all the money he had.

Pamela Spends 2/3 as much as Vald

Pamela Spends 2/3 x 100 = $66.67

Eli Spends 4/3 as much as Vald

Eli spends 4/3 x 100 = $133.33

From here, we can see Eli Spends the most and Pamela Spends the least.

Solve for x

Plz help!

Answers

B is the answer hope I help



3000, 300, 30, 3, ...

O Arithmetic
O Geometric
O Neither

Answers

Answer:

code answer :unknown 976765 answer .geometric

please answer asap! no scam links or scam comments or reported.

Answers

Answer:

C

Step-by-step explanation:

Answer:

B. The longer a skydiver is in freefall, the more feet they fall per second

Step-by-step explanation:

Help please!

This is due on April 18th but I would prefer the answer today! No sus links please!

Answers

3(y-2)=18

3y-6=18

3y=24

y=8

HOPE THIS HELPS AND YOU GOT GOOD GRADES

Answer:

blank 1= 6

blank 2=6

Step-by-step explanation:

y=2

3y=6

6/3=2

hope that helps

have a great day/night

Which of these expressions is equal to 3(30 - p)?

Answers

Answer:

[tex](3 \times 30) - (3 \times p)[/tex]

Answer B is correct

Step-by-step explanation:

[tex]3(30 - p) \\ (3 \times 30) - (3 \times p)[/tex]

hope this helps you

can I have the brainliest please?

Answer:

B

Step-by-step explanation:

B is correct.  According to the distributive property of multiplication, we have 3(30 - p)  =  3·30 - 3·p

Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Answers

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

Hayden has 90 trading cards

Answers

Answer:

9

Step-by-step explanation:

90/10 =9

Find AB. Round the answer to the nearest tenth if needed.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

  AD² = AB·AC

  144 = AB(AB +10)

We can add 25 to complete the square.

  169 = (AB +5)² . . . write as a square

  13 = AB +5 . . . . . . positive square root

  8 = AB . . . . . . . . . .subtract 5

A summer job pays $5 per hour.
a. you work 12 hours. How much do you make?
b. after working 24 hours do you have enough money to buy an mp3 player that costs $100?

Answers

Answer:

A. 60, B. 120.

You just need to add to get your answer

The eight subjects used for this comparison were not a random sample. In fact, they were friends of the researchers whose ages and weights were similar to the types of people who would be measured with this DXA. Comment on the appropriateness of this procedure for selecting a sample, and discuss any consequences regarding the interpretation of the significance testing and confidence interval results.

Answers

Answer:

The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Step-by-step explanation:

When the subjects used for a research are not a random sample but friends whom share similar qualities/quantities related to the purpose of the experiment. The sample may be a representative of the future subjects, but the test results and confidence interval will not be reliable enough to be accepted as standard simply  because it was not a random sample

Hence the comment :The sample may be a representative of the future of the future subjects, but the test results and confidence interval are suspect  because it is not a random sample

Other Questions
P(A | B) can be read as "the probability that B occurs given that A hasoccurred."A. TrueB. False The _______________________________________ is often referred to as the powerhouse of the cell Can someone help me use speciation in a sentence Please help!! Im in a rush :( What is the absolute value of 2 1/2Write your answer as a mixed number. Conducting research is like planning for a trip. You begin by choosing a topic, so you know where you are headed with your research. Then you consider research questions to narrow the focus of your research to a central idea.Write two possible research topics that youre interested in learning more about, and explain why you are interested in these topics. Then write three research questions about each topic. Kairo _________ (comprar, leer, llegar) un buen libro en la bibliotecade la escuela.PPPPLLLLLLEEEEAAASSSEEEE HELPP MMMEEEE 1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x + How do you give bainliest 100 POINTS I ONLY HAVE 40 MINUTES LEFT (NOT A TEST QUESTION)How did trade lead to specialization and interdependence in Asia and Africa? Given the midpoint and one endpoint of a line segment, find the other endpoint. Endpoint: (-4,-10), midpoint: (-8,-4) What is the dew-point temperature at which a cloud formation began? A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag atrandom. How many possible outcomes are there?0 3O 50 6O 14 Why did the African Methodist Episcopal Church leave the white Methodist Church? What's the answer for B and C A shipment of sugar fills 8 containers. If each container holds 2 1/6 tons of sugar, what is the amount of sugar in the entire shipment? HELP PLEASE 40 Points both questions please Need help plzzzzzzzzzzxx Please help! If f(x) is an exponential function where f(- 2.5) = 9 and f(2.5) = 45 , then find the value of f(3.5) , to the nearest hundredth Monet began heating a solution with a starting temperature of 67F. The temperature increased by 3 per minute.What is the recursive rule that represents this situation?Enter your answers in the boxes.an= a1 =