Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.

the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.

                                          And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.

For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.


Related Questions

Write the equation of the graph shown below in factored form.

Answers

Answer:

where is the graph?

Step-by-step explanation:

I could help.

PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!

Answers

Answer:

2/60 = 1/30 = 3.3%

Step-by-step explanation:

help! urgent asap!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

This is because the answer you picked means congruent to, however these two triangles are not the same size

How many solutions are there to the equation below? 9(x – 4) = 9x – 33

Answers

Answer:

no solution

Step-by-step explanation:

The graph below have the same shape. What is the equation of the graph?

Answers

Answer:

C

Step-by-step explanation:

The graph has been translated down 4 units and moved to the right 2 units

so correct answer is C (x-2)^2-4.

what is the length of KM ? NO LINKS .

Answers

Answer:

80 units

Step-by-step explanation:

KN = MN

9x - 5 = 7x + 7

2x = 12

x = 6

KM = 2KL

KM = 2(6x + 4)

KM = 12x + 8

KM = 12(6) + 8

KM = 80

Answer:

80

Step-by-step explanation:

Janna is using a cone-shaped cup to fill a cylindrical container. The cup has the same height and radius as the container. How many rimes will she have to fill the cone-shaped cup to completely fill the cylindrical container.

Answers

Answer:

3 times

Step-by-step explanation:

Step 1: Express the volume of the cup in terms of "r" (radius) and "h" (height)

The formula for the volume of a cone is:

Vcone = 1/3 × h × π × r²

Step 2: Express the volume of the container in terms of "r" and "h"

The formula for the volume of a cylinder is:

Vcylinder = h × π × r²

Step 3: Calculate how many times the volume of the cone is contained in the volume of the cylinder

Vcylinder/Vcone = (h × π × r²) / (1/3 × h × π × r²) = 3

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.

Answers

Answer:

I don't understand this

Last month, a factory produced 880 television sets. This month, the same factory produced 1,210 television sets. The increase in production from last month to this month is

Answers

Answer:

330 television set

Step-by-step explanation:

Last month production = 880 television sets

This month production = 1,210 television sets

The increase in production from last month to this month = This month production - Last month production

= 1,210 - 880

= 330

The increase in production from last month to this month = 330 television set

As per linear equation, the increase in production of television of the factory is 330.

What is a linear equation?

A linear equation is an equation where the variable has the highest power of 1.

Given, a factory produced 880 television sets last month.

This month, the same factory produced 1,210 television sets.

Therefore, the increase in production of television of the factory is

[tex]= (1210-880)\\= 330[/tex]

Learn more about a linear equation here: https://brainly.com/question/11203335

#SPJ2

Simple percent question!!!!
My question says that line segment DC is 50% longer than line segment BD, and BD is 40 ft. Does that mean DC is 60 ft or 80? Please explain, brainliest to whoever explains it properly and quickly

Answers

Answer:

60ft

Step-by-step explanation:

DC is 50% longer than BD (given)

BD is 40ft (given)

DC is 50% longer than BD this means that DC= BD+50% of  BD

40ft +50/100 * 40

=40ft +20ft

=60ft

Another way to solve this could be DC is 150%of BD as BD =40ft=100% of it's length.

So, 150/100 *40

=60ft

Hope this helps.

Please mark me as brainliest.

What is the domain and range of graph!!! 10 points!!!

Answers

Answer:

THIRD OPTION - Domain: (0, infinity)

Range: (-infinity, + infinity)

Step-by-step explanation:

The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.

Help please guys if you don’t mind

Answers

Step-by-step explanation:

Step 2:

[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]

Stepc3:

[tex]3x(5x - 3)[/tex]

How would I write this equation? Looking for an answer ASAP.

Answers

Answer:

dssadsasdsa

Step-by-step explanation:

ignore this need points for alt

HELP PLSSSSSSS algebra 1

Answers

Answer:

answer is x=-1/10 is the answer

what is the volume of the square pyramid? answer i need this done for my geometry credit thank you

Answers

Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

[tex]volume=1/3(area ~of ~base) \times( height)[/tex]

[tex]v=1/3(7\times7)\times7[/tex]

[tex]v=343/3[/tex]

[tex]v=114[/tex]

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

hope it helps...

have a great day!!

The area of a smaller circle is one twenty-fifth of the area of a larger circle. What is the ratio of the radius of the larger circle to the radius of the smaller circle?

E. 1 : 25
F. 5 : 1
G. 1 : 5
H. None of the above

Answers

Answer:

[tex]f) \: r2 \div r1 \: = 5 \div 1[/tex]

Step-by-step explanation:

[tex] \frac{a1}{a2} = \frac{1}{25} = \frac{\pi \times (r1)^{2} }{\pi \times (r2)^{2}} [/tex]

[tex] {(\frac{r2}{r1})}^{2} = 25[/tex]

[tex] \frac{r2}{r1} = 5[/tex]

which of the following functions is graphed below?

Answers

Answer:

d number on is the wright answer

hope it may help you

Multiple choice please help!!

Answers

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

y=0

y=5x

y=5(10)

y=50

y=5x

y=5(51)

y=255

y=5x

y=5(400)

y=2000

Is the graph increasing, decreasing, or constant?

Answers

Answer:

it's increasing.

Step-by-step explanation:

I'm not sure what else write here, it's obvious it's increasing

Answer:

Increasing

Step-by-step explanation:

You can see the line moving up on the graph starting from its origin (0,0) then moving to (1,1) then moving slowly up then finally ending at (12,3).

HELP I AM TIMED. Determine whether the equation is an identity or not an identity.

Answers

Answer:

It is not an identity

Step-by-step explanation:

There are 10 common trig identities which I am aware of.

Some are in the image attached

The first image is known as b

Basic Identities

The second are known as Trigonometric / Pythagorean Identities .

The third : Co-function identities

and many more.

I'm only allowed to post five images so that's all I have.

A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously. What are the odds in favor of spinning a prime number on the spinner and rolling a number less or equal to 4 on the die?

Answers

Answer:

1/3

Step-by-step explanation:

In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.

Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.

There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2

There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3

The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3

The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.

Answers

Answer:

y value

Step-by-step explanation:

when you write an ordered pair the first number is your x and the second number is your y. these make a point on a graph.

(x,y)

Answer:

a

Step-by-step explanation:

Which method is used in elimination to find the solutions of a - b = 9 and a + b = 5? ​

Answers

The substitution method is used in elimination to find the solution to the equation.

What is the system of two equations?

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The given equation in the problem is;

Equation P: a - b = 9

Equation Q: a+b=5

The value obtained from the equation P is;

a - b = 9

a=b+9

Substitute the value in the equation Q;

a+b=5

b+9+b=5

2b=9-5

b=2

The value of a is;

a-b=9

a-2=9

a=9+2

a=11

Hence the value of a and b will be 11 and 2.

To learn more about the system of two equations, refer to the link;

https://brainly.com/question/21620502

#SPJ1

X
2
4
00
12
V
4
2.
1
2/3

Answers

Answer:

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5

Step-by-step explanation:

Select the correct answer.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table


The diagram shows a cylinder of diameter 6 cm and height 20 cm what is the volume in cm3

Answers

Answer:

565.2cm³

Step-by-step explanation:

the radius= 6/2= 3 cm

the height= 20cm

the volume= 3.14× 3²×20

= 3.14×180= 565.2 cm³

Check the picture below.

solve: 28 − ≥ 7( − 4)
(show your work)
real answers only pls :(

Answers

you’ll distribute the 7 from (x-4) so your equation will be
28-x>_ 7x-28
then you’ll combine like terms (-x and 7x and 28 and -28
-56>_ -8x
divide by -8 on both sides and flip your sign
you’re answer is x<_7
x is less then or equal to 7

What number is increased by 40% become 28?
a.5 b. 10 c. 15 d. 20​

Answers

Answer:

d. 20

Step-by-step explanation:

28 ÷ (100%+40%)

= 28 ÷ 140%

= 28 ÷ 1.4 = 20

Answer:

option d

Step-by-step explanation:

Let the number be x

40% of x = 0.40x

Increased by 40% = 28

That is ,

           x + 0.40x = 28

               1.40x = 28

                   [tex]x = \frac{28}{1.40}\\[/tex]

                  [tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]

Therefore, the number is 20

Help me out please thanks

Answers

Answer:

1.5 is the correct answer

Step-by-step explanation:

The time it four hours. In those 4 hours the temperature changer by 6 degrees. So 6 divided by 4 is 1.5.

Answer: Choice D is correct. The slope is 1.5

This means that for every hour, the temperature is increasing by 1.5 degrees Fahrenheit.

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

Work Shown:

slope = rise/run

slope = (change in y)/(change in x)

slope = (change in temperature)/(change in time)

slope = 6/4 .... see note below

slope = 3/2

slope = 1.5

note: The 6 refers to the jump from -2 to 4; the denominator 4 represents the amount of elapsed time from 8 AM to 12 PM

Please Help
cube root√(a+b)^-7 * (a+b)^1/3


I have also send photo of question please check​

Answers

[tex]\sf\huge\underline\red{SOLUTION:}[/tex]

[tex]\sf\rightarrow \sqrt[3]{ {(a + b)}^{ - 7} } \times {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7}{3} } {(a + b)}^{ \frac{1}{ 3 } } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} } {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} + \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7 + 1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 6}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 - 2}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3(1)} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3 \times 1} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 2}{1} } [/tex]

[tex]\rightarrow\sf {(a + b)}^{ - 2} [/tex]

[tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]

[tex]\sf\huge\underline\red{ANSWER:}[/tex]

[tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]

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Answer:

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The expression 2(a+b)-8.1 for certain values of a and b.find the value of the following expressions for the same values of a and b: 3(a+b)

Answers

Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].

Given:

The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.

To find:

The value of [tex]3(a+b)[/tex] for the same value of a and b.

Solution:

We have,

[tex]2(a+b)=8.1[/tex]

Divide both sides by 2.

[tex](a+b)=\dfrac{8.1}{2}[/tex]

[tex](a+b)=4.05[/tex]

Multiply both sides by 3.

[tex]3(a+b)=3\times 4.05[/tex]

[tex]3(a+b)=12.15[/tex]

Therefore, the value of [tex]3(a+b)[/tex] is 12.15.

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