Is it true that a continuous function that is never zero on an interval never changes sign on that​ interval? give reasons for your answer?

Answers

Answer 1
Yes it is true that a continuous function that is never zero on an interval never changes sign on that interval. This is because of ever important Intermediate Value Theorem.
Answer 2

Yes, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

What is a continuous function?

In mathematics, a continuous function is a function such that a continuous variation of the argument causes a continuous variation of the value of the function. This indicates that there aren't any discontinuities or sudden changes in value.

Unchanged sign is a property of continuous functions that are never zero on an interval, hence this is true. This is due to the perennially significant Intermediate value theorem.

Therefore, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

To know more about continuous function follow

https://brainly.com/question/18102431

#SPJ2


Related Questions

Calculate the value of the area between the function f(x)=x^2-4f(x)=x2−4 and the x-axis on the interval from x = 0 to x = 2. round your answer to one decimal place.

Answers

To determine the area, calculate first for the differential of the equation given.

          f(x)  = x² - 4

Differentiating,

           f'(x) = 2x

Then, we officially have 2. 
          f'(2) = 2(2) = 4 

          f'(0) = 2(0) = 0

To determine the area, subtract the given answer to get 4 units squared. 

Answer: 4 units/guarrantee

When you are asked to find the area under the curve with a given equation, this is an application of integral calculus. The concept is that, any infinitesimal strip under the curve, when added together, equals the area. Thus, integrate the given equation with limits from 0 to 2.

[tex] A = \int\limits^2_0 {(x^{2}-4) } \, dx [/tex]

A = [x³/3 - 4x]lim 0->2
A = (2³/3 - 4(2)] - (0³/3 - 4(0)] 
A = 16/3 - 0
A = 16/3 ≈ 5.3 sq. units



Chloe draws three parallelograms. In each figure, she measures a pair of angles, as shown.

What is a reasonable conjecture for Chloe to make by recognizing a pattern and using inductive reasoning?


In a parallelogram, all angles are supplementary.
In a parallelogram, consecutive angles are supplementary.
In a parallelogram, consecutive angles are congruent.
In a parallelogram, all angles are congruent

Three parallelograms. The angles of the first parallelogram are 35 degrees and 145 degrees. The angles of the second parallelogram are 38 degrees and 142 degrees. The angles of the third parallelogram are 51 degrees and 129 degrees.

Answers

Using inductive reasoning, the best answer from the given shapes is:
B) In a parallelogram, consecutive angles are supplementary.

Last month, Margo bought a tree that grows 2.5 cm each day. It was 5cm tall when she bought it and now it is 65 cm tall. Write an equation to determine the number of days Margo has owned the plant.

Answers

2.5*d+5= 65

subtract 65 by 5 and divide by 2.5 to get the number of days shes had the plant :)
65=2.5x+5 I hope you get this one

Dennis has 30 plums and 42 apricots. he wants to put the fruit in bag so that each bag has the same number of like fruit. how many pieces of fruit can he put in each bag

Answers

Solve.

Mr. Madison picked 80 pieces of fruit on Thursday.Add.

042412+ 4080

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m A)0.01
B)0.1
C)10
D)100

Answers

since the 2 in 0.02 is in the hundredths place, you need to multiply that by 100 to eliminate the decimal, then you would need to multiply the other numbers by 100 as well


 Answer is D) 100


The decimals place in a number can be shifted right or left by multiplying or dividing by powers of 10 respectively

The option which gives the number that will multiply each term of the equation -m + 0.02 + 2.1·m = -1.45 - 4.81·m to eliminate the decimals before solving, is option D)

D) 100

Reason:

The given expression is presented as follows;

-m + 0.02 + 2.1·m = -1.45 - 4.81·m

The number that can multiply the terms to eliminate the decimals before solving

Solution;

The number of decimal places to which the coefficient and constant values are given = 2 decimal places

Therefore, to eliminate the decimal places, the decimal point of each term has to be moved two places to the right

To move decimal points to the right x number of places is given by multiplying the number by 10ˣ

Therefore, to move the decimal point two places to the right so as to eliminate the decimal point, by multiplicative property of equality, we have;

10² × (-m + 0.02 + 2.1·m) = 10² × (-1.45 - 4.81·m)

10² = 100, therefore, we have;

100 × (-m + 0.02 + 2.1·m) = 100 × (-1.45 - 4.81·m)

-100·m + 2 + 2,100·m = -145 - 481·m

Therefore, the number the equation, -m + 0.02 + 2.1·m = -1.45 - 4.81·m, is to be multiplied by is 100

Learn more here:

https://brainly.com/question/11909090

he value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650. Do not use any dollar signs in the inequality. Write the inequality in standard form.

Answers

If the ball increases by 5% each year, then it's value over t years would be:
fv=300*(1+.05)^t, where fv  is future value. So:
300*(1.05)^t=650
1.05^t=2.166667
t=15.85 years
☺☺☺☺

 

Answer:  

[tex]300(1.05)^x\geq 650[/tex]

Step-by-step explanation:

Since, the initial value of the basketball = $ 300

Annual rate of interest = 5 %

Let the basket ball after x years is worth at least $ 650,

⇒ The cost of basketball after x years ≥ 650

[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]

[tex]\implies 300(1+0.05)^x\geq 650[/tex]

[tex]\implies 300(1.05)^x \geq 650[/tex]

Which is the required inequity.  

Leo is roller-blading at a speed of 200 meters per minute. How long will it take him to roller-blade 1 km?

Answers

Find out how many meters are in a km, 1000 meters. 

If it takes Leo a minute to roller blade 200 meters, 

1000/200 => 5 

5x1 minute= 5 minutes

It would take Leo 5 minutes to rollerblade 1 kilometer. 

Hope I helped :) 

Answer:

5 min

Step-by-step explanation:

A restaurant offers a​ $12 dinner special that has 77 choices for an​ appetizer, 1010 choices for an​ entrée, and 44 choices for a dessert. how many different meals are available when you select an​ appetizer, an​ entrée, and a​ dessert?

Answers

280 I'm assuming that this question is badly formatted and that the actual number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts. So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre, so the number of possible meals to this point is n = 7 * 10 = 70 Finally, you finish off with a dessert, so the number of meals is: n = 70 * 4 = 280 Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is n = 77 * 1010 * 44 = 3421880 But I believe that it's highly unlikely that the numbers in this problem are correct. Just imagine the amount of time it would take for someone to read a menu with over a thousand entres in it. And working in that kitchen would be an absolute nightmare.

The graph of y=-4x+7 is:
A. a line that shows the set of all solutions to the equation.
B. a point that shows one solution to the equation.
C. a point that shows the y-intercept.
D. a line that shows only one solution to the equation.

Answers

y=-4x+7 is the eguationfor a line that crosses the y intercept at 7 and has a slope of -4 i would go with D

Answer:

A. A line that shows the set of all solutions to the equation

Step-by-step explanation:

Will mark Brainliest!!

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube? In how many different ways can this be done?

Answers

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

https://nrich.maths.org/787/solution

The cube can be removed from the top middle and from the center if a 3 by 3 by 3 cube is made from 27 unit cubes.

What is surface area?

An object's surface area refers to the overall space that its surfaces occupy.

Given:

The dimensions of the cube are 3 by 3 by 3

Calculate the surface area of the cube as shown below,

Surface area = 6 × side²

Surface area = 6 × 3²

Surface area = 6 × 9

Surface area = 54

I eliminated each of the eight corners, leaving the entire space untouched.

I deleted the top surface's central cube to increase the surface area by four units.

I started with a shape that was ten cubes smaller than the original one but had the same surface area after removing one cube from the center of one of the top edges (any of the four still there).

To know more about the surface area:

brainly.com/question/2696528

#SPJ2

How many different outcomes are possible when a nickel,a quarter and a penny are flipped at the came time? Solve by applying the counting principle

Answers

The coin values don't matter. What does is the fact that each can land on either heads or tails. There are 3 coins, so you would do 3!, or 3 factorial. 3! = 3 * 2 * 1, or 6. Thus, there are 6 possible outcomes.

Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.

The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.

Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?

Select each correct answer.



1. (4, 36)

2. (0, 33)

3. (4.8, 30.5)

4. (2, 22)

5. (9, 26)

Answers

The required conditions are 24 ≤ y ≤ 33x ≤ 10y ≥ 3x The following points satisfy all of the conditions: (0,33)(4.8,30.5)

A public park is in the shape of a triangle. the side of the park that forms the base of the triangle is 22 yd long and the area of the park is 7500 yd 2 what is the length of the side of the park that forms the height of the triangle

Answers

Let h be the height. Then:
1/2  (22h)=7500
22h=15000
h=15000/22=681.8181 yds

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Answers

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

Final answer:

By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.

Explanation:

To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.

Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:

x + 2x = 60

This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:

3x / 3 = 60 / 3

x = 20

Therefore, Elga's age is 20 years old.

In the given right triangle, find the missing length to the nearest tenth.

Answers

Use pythagorean's theorem to solve for missing sides of a right triangle.

a^2 + b^2 = c^2

a = 11
b = 17
c = We don't know yet so I'll call it x

11^2 + 17^2 = c^2

121 + 289 = c^2

410 = c^2

c = √410

c = 20.2

Thus, the answer is B.

Hope this helps, and May the Force Be With You!

-Jabba

The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?

Answers

Please provide table or else i can't calculate!
Answer: is ) $0.60 cents.

Answer:

0.60

Step-by-step explanation:

hope this helps

Given an int variable n that has been initialized to a positive value and, in addition, int variables k and total that have already been declared, use a do...while loop to compute the sum of the cubes of the first n whole numbers, and store this value in total. thus if n equals 4, your code should put 1*1*1 + 2*2*2 + 3*3*3 + 4*4*4 into total. use no variables other than n, k, and total.

Answers

// There are several ways of doing this piece of code. // This is one of the smaller versions. If computes the values from the largest // to the smallest, but does destroy the value of n at the end of the loop. total = 0; do { total += n*n*n; --n; } while(n != 0); // Here is a more conventional version that retains the value of n and computes in // an upward fashion. k=1; total=0; do { total += k*k*k; ++k; } while(k <= n);

Please write the function

Answers

The equation is y=║x+5║-4. I found this by knowing how the parent function looks like. The point of the v sits at 0,0 and here it sits at -5,-4 which means it moved 5 left and down 4. The left 5 is the +5 added to the x and -4 because it dropped down 4 units.

Choose the correct transformation of the graph f(x) = |x + 8| - 3.

The graph of f(x) = x| is shifted to the left 8 units, down 3 units.
The graph of f(x) = x| is shifted to the right 8 units, down 3 units.
The graph of f(x) = x| is shifted to the left 8 units, up 3 units.
The graph of f(x) = x| is shifted to the right 8 units, up 3 units.

Answers

The graph of f(x) = x| is shifted to the left 8 units, down 3 units.

Answer:

A. The graph of f(x) = |x| is shifted to the left 8 units, down 3 units.

Step-by-step explanation:

We are given,

The transformed function is [tex]f(x)=|x+8|-3[/tex].

Now, the parent function is [tex]f(x)=|x|[/tex].

So, we have,

When the parent function is shifted 8 units to the left, the function is [tex]|x+8|[/tex].

This function when translated 3 units downwards gives [tex]f(x)=|x+8|-3[/tex].

Thus, we get,

The parent function f(x)=|x| is translated 8 units to the left and 3 units downwards.

So, option A is correct.

11) Solve b = g + (t – 1)w for t. *

Answers

b = g + (t-1)w
b-g = (t-1)w
(b-g)/w = t - 1
(b-g)/w + 1 = t
So the last option (as they appear on my laptop)
Solve for t: w(b + g) + 1 = t w(b + g) + 1 = t is equivalent to t = w(b + g) + 1:
Answer:  t = w(b + g) + 1

Solve for t: (b - g)/w = t (b - g)/w = t is equivalent to t = (b - g)/w:
Answer:  t = (b - g)/w

Solve for t: (b + g)/w - 1 = t (b + g)/w - 1 = t is equivalent to t = (b + g)/w - 1: Answer:  t = (b + g)/w - 1
Solve for t: (b + g)/w + 1 = t (b + g)/w + 1 = t is equivalent to t = (b + g)/w + 1: Answer:  t = (b + g)/w + 1

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

Answers

The first step in solving 3p - 7 + p = 13 would be to simplify 3p - 7 + p so it can be 4p - 7.

So the resulting equation AFTER the first step would be 4p = 13 + 7.
The equation after the first step would be: 4p-7=13
that's all you can do in one step, and it calls combine like terms. On the next step you use the addition property of equality to add 7 on both side and it would gives you 4p=20.
if they asked to solve for P then you can use the division property of equality to divide 4 on both side. 
p=5

Difference of two exponential random variables

Answers

the difference would be subtracting the variables and the dividing the difference by 2

Difference of two exponential random variables

What is the missing term? (10x-4x^2)-(7x+?)=3x-6x^2

Answers

The answer is 2x^2
Because everything on the right of the minus sign will turn negative

                                                         

The given problem is =

[tex]( 10x-4x^{2} )-(7x+?)=3x-6x^{2}[/tex]

Lets suppose the missing term to be T

So equation becomes:

[tex]10x-4x^{2} -7x-T=3x-6x^{2}[/tex]

[tex]T=10x-4x^{2} -7x-3x+6x^{2}[/tex]

[tex]T=2x^{2}[/tex]

Hence, the missing term is [tex]2x^{2}[/tex]

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?

45  cubic feet
60  cubic feet
90  cubic feet
180  cubic feet

Thank you :)

Answers

The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3

Answer:

[tex]45\pi\ ft^3[/tex]

Step-by-step explanation:

The volume of the cone can be calculated using formula

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi r^2\cdot H,[/tex]

where [tex]r[/tex] is the radius of the base circle and [tex]H[/tex] is the height of the cone.

Since [tex]r=3\ ft[/tex] (half of the diameter given in the diagram) and [tex]H=15\ ft,[/tex] then

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.[/tex]

(3a) ^ 3 =
This expression without exponents is 3aaa 3 • 3 • 3a 3a3a3a 3 • 3 • 3a 3

Answers

(3a) ^ 3 = 3a x 3a x 3a

answer
3a x 3a x 3a

Answer:  The correct option is (C) [tex]3a.3a.3a.[/tex]

Step-by-step explanation:  We are given to select the correct representation of the following exponent expression :

[tex]E=(3a)^3.[/tex]

We will be using the following property of exponents :

[tex]a^n=a.a.a.~.~.~.~(n~times).[/tex]

So, for the given expression, we get

[tex]E=(3a)^3=3a.3a.3a.[/tex]

Thus, the correct representation is [tex]3a.3a.3a.[/tex]

Option (C) is CORRECT.

Fatimah works two shifts per day at the pizza shop. During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour. During her delivery shift, she sells 20 pizzas per night. Write an equation in slope-intercept form that represents the number of pizzas that Fatimah sells in one day if she works x hours.

A-y=1/6x-20
B-y=20x+6
C-y=6x+20
D-y=-6x+20

Answers

C: y = 6x+20 Let's construct our own equation and then see if one of the available options matches. "During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour" This sounds like the equation should be: 6x Since for every hour (represented by x) she sells 6 pizzas. Now we have: "During her delivery shift, she sells 20 pizzas per night." Notice that there's no mention of anything per hour. If she does the delivery shift, she sells a constant 20 pizzas. So let's modify our equation to: 6x + 20 And since we want it in slope intercept form, let modify a bit further: y = 6x + 20 Now look at the available options and see if there's anything that matches. And there is ... Option C is a perfect match.

Belinda wants to buy 3 large boxes of oranges each box contains 4 bags of oranges and each bag has 10 oranges. How many oranges will she have?

Answers

120! That's a ton of oranges...
120 oranges CAN I GET BRAINLIEST??

please help quick im offering 10pts and brainliest answer

Answers

Answer: The value of x is 30

-------------------------------------------
-------------------------------------------

Angle PJK and Angle DJB are vertical angles. They are formed when you cross PD and KB. They are opposite one another. Vertical angles are congruent, so,

(angle PJK) = (angle DJB)
3x-40 = 2x-10
3x-40-2x = 2x-10-2x ... subtract 2x from both sides
x-40 = -10
x-40+40 = -10+40 .... add 40 to both sides
x = 30

Side Note:
if x = 30, then angle PJK is...
angle PJK = 3x-40
angle PJK = 3*x-40
angle PJK = 3*30-40
angle PJK = 90-40
angle PJK = 50 degrees
which is also the measure of angle DJB

If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6?

Answers

The required difference is value 5 is put in cell 6 and in the second case value of cell 5 is transferred to cell number 6.

Given that,
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6 is to specify.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is a dependent variable.


Here,

If a memory cell whose address is 5 contains the value 8
implies at cell number 5 the entry is 8
Similarly,
writing the value 5 into cell number 6
While in the case of moving the contents of cell number 5 into cell number 6, Implies 8 is transferred to cell number 6.

Thus, the required difference is value 5 is put in cell 6, and in the second case value of cell 5 is transferred to cell number 6.

learn more about function here:

brainly.com/question/21145944

#SPJ2

Apply THe ORder of operations to simplify the expression
90/ [10+(3² - 4)]
most with best answer gets brainliest please help.

Answers

90/(10+(3^2-4))

PEMDAS
Parentheses, exponents, multiplication, division, addition, subtraction

First, we would solve what's in the parentheses. However, since we have more than one set of parentheses and a value in the parentheses has an exponent, we'll do that first. Then, we can do the addition inside the parentheses.
90/(10+(9-4))
90/(10+(5))
90/(10+15)
90/(25)

Now, we can finish the problem by doing division.
90/25
18/5
3.6
Other Questions
What was the significance of the smog in Donora & London ?a. People stopped burning coal to heat their homesb. The public became aware of air pollution c. Clean air acts were implemented.d. Both B and C are correct Evaluate the expression -62(-2)(-5)(-3) What did humankind gain from the industrial revolution, and what did it lose? Why was the middle passage a terrible experience for african slaves? Shelly was able to remember the names of three new class members for only a minute or two after they had been introduced to her. during this time their names were stored in her ________ memory. what note sits in the middle of the grand staff?A. ledger line cb.middle cC. middle dD. high c What two processes must take place in order to go from a gene to a protein? PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Write an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days. PART B: Write the equation obtained in Part A using function notation.PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. /green sea turtles eat sea grass that grows on the sea floor. sea grass, a foundation species, provides an important breeding ground for fish and other marine organisms. a conservation program for the green sea turtles plans to introduce more turtles into an ecosystem. what could be the immediate effect of this on the ecosystem Which are affected by the factors of production? Check all that apply.the demand of the itemthe availability of the itemthe cost of the itemthe quality of the itemthe popularity of the item The preferred ultrasound examination to evaluate vascular occlusions and blood flow dynamics is Under what conditions will deviations from the "ideal" gas be expected? select all that apply. low temperatures high temperatures low pressure high pressure Scott has 10 1/2 yd of fabric to make banners for the community fair. He needs 1 3/4 yd for each banner. Your heart may race when you are confronted by a lion but not when you are approached by a kitten. this best illustrates the adaptive value of Which of the following describes a primary purpose of the Endangered Species Act (ESA)? I.To identify populations of organisms that are in danger of becoming extinct II.To preserve the habitat in which a threatened or endangered population lives III.To introduce species to regions in which they have not historically livedI onlyII onlyIII onlyI and II onlyII and III only how did the industrial revolution prove to be a mixed blessing for women Paulo paid $12.25 For some pencils and pens. He bought 19 more pencils than pens. the pencils cost.25 cents each and the pens cost$1.25 each. How many pens and pencils did Paulo buy? Which number produces a rational number when added to 1/5? If a pea plant has a genotype SSTt, what are the possible genetic combinations that could be present in a single grain of pollen produced by the plant? (2 points)SS, Tt, STST, St, stSS, Tt, ST, StST, St What are two ways in which exocytosis might help a cell maintain homeostasis? Steam Workshop Downloader