How do you solve a problem involving squeeze theorem?

Answers

Answer 1

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.


Related Questions

Which solution set satisfies the inequality y+19>_13

Answers

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

You have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?

Answers

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

if UW=6x-35,find what UW is

Answers

Answer:

Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83

Step-by-step explanation:

Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.

Factor. x^2-11xy-12y^2

Answers

Answer:

(x-12y)(x+y)

Step-by-step explanation:

You can not multiply a fraction by a whole/integer number. is it true or false?

True
false

In Usatestprep.

Answers

Answer:

False

Step-by-step explanation:

As an example

[tex]\frac{1}{2}[/tex] × 6 = 3

Thus a fraction can be multiplied by a whole number/ integer

what 2 numbers have a sum of -10 and a difference of -2?

Answers

Answer:

-6 and -4

Step-by-step explanation:

-6 + -4 = -10

-6- - 4 = -2

Solve for d:
df + 5d = h

Answers

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

4 + (-2) third power.

Answers

Answer: 6

Step-by-step explanation:

When you add a negative you subtract the opposite (4-2)

(4-2)^3

2^3

2+2+2

6

There are 9 boys and 6 girls in a hall, each holding coins in their hand. The mean number of coins for the children is 18 The mean number of coins for the boys is 14 Work out the mean number of coins for the girls.

Answers

Answer:

24

Step-by-step explanation:

Average = total number of coins / number of students

If the mean number of coins with boys is 14, the total number of coins held by boys =  14 x 9 = 126

The total number of coins held by the students = total number of children x average number of coins held by the children

15 x 18 = 270

The total number of coins held by girls = 270 - 126 =144

The mean  number of coins for the girls = 144 / 6 = 24

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

none
two
four
an infinite number

Answers

Answer:

4

Step-by-step explanation:

solution: −√10<x<−2 or 2<x<√10

√10=3.16

-3,-2,2,3

The 2 and -2 are the integers satisfy the inequality.

It is required to find the number of integers .

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

For (x²– 4)< 0;

x²<4

By taking the square root of both sides we have,

√x²<√4

x < ±2

x<2 and x<-2

Also,

x²<10

By taking  the square root of both sides we get,

√x²<±√10

x < ±√10

x<√10 and x<-√10

The √10 is not an integer but an irrational number. An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

So we can't take the integer of ±√10.

Therefore, the 2 and -2 are the integers satisfy the inequality.

Learn more details about inequality here:

https://brainly.com/question/20383699

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Mercedes takes out a loan for $ 10 , 000 at a simple interest rate of 3.5 % to be paid back in 42 monthly installments. What is the amount of the monthly payments?

Answers

Answer:

The amount of monthly installments is $267.30

Step-by-step explanation:

Here, we are interested in calculating the amount of the monthly is installments.

To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.

Mathematically,

Simple interest = PRT/100

from the question;

P = principal which is the amount borrowed = $10,000

R = rate = 3.5%

T = time = 42 months = 42/12 = 3.5 years

Substitute these values into the formula for simple interest;

We have ;

S.I = (10,000 * 3.5 * 3.5)/100 = $1,225

So the total amount to

payback = interest + principal = 1225 + 10,000 = 11,225

So the amount of installments will be ;

The amount to payback/number of months

Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month

Joshua wants to make cookies. To make cookies, he needs 1 1/8 cups of flour per batch of cookies. Joshua has 18 cups of flour. How many batches of cookies can he make? *

Answers

Answer: He can make 16 batches of cookies.

Step-by-step explanation:

Given: . To make cookies, Joshua  needs[tex]1\dfrac18[/tex] cups of flour per batch of cookies.

i.e. 1 Batch requires =[tex]1\dfrac18[/tex] cups of flour

=[tex]\dfrac{9}{8}[/tex] cups     [convert mixed fraction to improper fraction.]

Now if 1 batch = [tex]\dfrac{9}{8}[/tex] cups     (i)

Then, 1 cup = [tex]\dfrac{8}{9}[/tex] batch.           (ii)              [Multiply (i) by [tex]\dfrac{8}{9}[/tex]  ]

Joshua has 18 cups of flour.        

That means ,   18 cup = [tex]18\times\dfrac{8}{9}=2\times8=16[/tex] batch.   [Multiply (ii) by 18]

∴ He can make 16 batches of cookies.

Explain their mistake. Will give brainliest

Answers

Answer:

a²+b² =c²

10²+z²=13²

z² = 13²-10²

z =square root of (169-100)

this is a right triangle and 13 side is the hypotenuse (the longest side)

angie read 3 books in 5 days and each book contains 410 pages if angie reads if angie read the same number of books each day how may pages did she read a day
a.90
b.410
c.1,230
d.246

Answers

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246

Drag the tiles to the right places


PLEASE HELPPP FASSTTTTTTTT

I WILL MARK YOU AS THE BRAINLYEST IF I GET IT RIGHT JUST HELPPPPP

Answers

Answers:
(4^2)^4 = 4^-8
(4^2)^-1 = 4^-2
4^2 x 4^6 = 4^8
4^5 x 4^-3 = 4^2

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Write an expression to represent Max's number.
IF I DONT GET THIS RIGHT IM GETTING AN F HURRY PLZ

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

Find the value of x

Answers

Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

What’s the second step of 2(x+1) =8x-5

Answers

Answer:

2(x + 1) = 8x - 5

assuming you already made the first step, the next step is to distribute the 2

2x + 2 = 8x - 5

if you havent made the first step, above is the first step.

the second step would be to combine like terms by subtracting 2x and adding 5 to both sides

7 = 6x

then you would divide both sides by 6

x = 7/6

Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)

Answers

Answer:

x^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-0)^2 + (y+1)^2 = 4^2

x^2 + (y+1)^2 = 16

The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).

Here

The equation of the circle is given by

(x - h)² + (y - k)² = r² - - - - (1)

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²

Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

Learn more about circle here:

brainly.com/question/11833983

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can you plz help me with this question 2p=74​

Answers

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

make me brainliest pls

Solve for x: −10x+5= -6x-35

Answers

X= 10 I did it on my calculator so don’t worry :)

Step-by-step explanation:

-10x+5= -6x-35

-10x+6x=-35-5

-4x=-40

x=10

please mark as brainliest

. Una distribución de probabilidades permite organizar todos los resultados posibles de

una variable aleatoria junto con sus correspondientes probabilidades de ocurrencia.

El valor esperado E(x) de una variable aleatoria discreta se calcula multiplicando

cada valor que esta puede asumir por su probabilidad de ocurrencia y luego

sumando los productos.

La siguiente tabla muestra la distribución de probabilidades correspondiente al

tiempo (en minutos) que demora una computadora en recuperarse luego de una

falla. ¿Cuál es el tiempo más probable de espera para volver a utilizar la

computadora?

Tiempo (x) 2.0 3.0 4.0 5.0

Probabilidad P(x) 0.10 0.30 0.10 0.50​

Answers

Answer:

i don't understand Spanish ._.

Step-by-step explanation:

man I wish I understand you ._.

How many minutes are there in a week, if a week has 7 days, each day has 24 hours and each hour has 60 minutes?​

Answers

Answer:

10,080 minutes

Step-by-step explanation:

7 x 24 x 60 = 10,080

Solve for y.
15y - -9y + -10y = 14
y =
Submit

Answers

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple

Answers

Answer:

3; Sara is driving 30 miles per hour

Step-by-step explanation:

Here in this question, we want to select which of the options represent what a unit rate is.

When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.

Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow

Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred

Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time

Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know

A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?

Answers

Answer:

4.5 metres

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

solve for Q

-392 = 28q​

Answers

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14

What is the y-intercept of the function f(x)=4 – 5x?

Answers

Answer:

The y intercept is 4

2y=12+4y please show work

Answers

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

 

Step-by-step explanation:

Ok so you have to take away the y term with that is added with the non term and subtract it with the other y term since they’re both positive. Once you get your answer, divide it with the no term number and there’s your final answer.

2y=12+4y
-4y -4y

6y=12

12/6=2

Answer is 2

If a numser has an even exponent can it ever be negative when it is simplified?
Explain.​

Answers

Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

Answer: No, it can never be negative.

==================================================

Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

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