what is the average rate of change from x equals negative 1 to x equals 1​

Answers

Answer 1

Answer:

This question is incomplete, so I can not give you an exact answer, but I can give you the answer for the general case.

If we have a function f(x), the average rate of change between the values:

x = a and x = b,

is given by:

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

So if we want to find the rate of change from:

x = -1 to x = 1

it is just:

[tex]r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{f(1) - f(-1)}{2}[/tex]

So just to show an example, if:

f(x) = 3*x^2 - 5

the average rate of change in that interval will be:

[tex]r = \frac{f(1) - f(-1)}{2} = \frac{3*1^2 - 5 - (3*(-1)^2 - 5)}{2} = \frac{-2 - (-2)}{2} = 0[/tex]


Related Questions

(12 ÷ 3 ∙ 2) + 4 − 5

Answers

12/3 = 4
4 x 2 =8
8+4 = 12
12-5 = 7
Therefore the answer you are looking for is 7

Answer:

7

Step-by-step explanation:

(4·2)+4-5

8+4-5

12-5=

7

ok help due in 1 hour

Answers

Answer:

7.2 =x

Step-by-step explanation:

We know that

sin theta = opp / hyp

sin 41 = x/y

sin 41 = x/11

11 sin 41 =x

7.216649319 =x

Rounding to 1 decimal place

7.2 =x

Find the distance between (5.8) and (-2,3)

Answers

Answer:

distance between the points is 8.602325267 units

Step-by-step explanation:

(5 , 8)=(x1 , y1)

(-2 , 3)=(x2 , y2)

use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]

=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]

=[tex]\sqrt{49 + 25}[/tex]

=[tex]\sqrt{74[/tex]

=8.602325267 units

HELP ME PLEASE
find the volume???

Answers

Answer:

5.24m

Step-by-step explanation:

volume of a cone = (1/3)πr²h

= (1/3)×(22/7)×1²×5

= 5.24m

What are the numbers between the lower quartile and the upper quartile called in a box-and-whisker plot?

Open ended quistion

Answers

Answer:

lower quartile would be Q1 and the upper quartile would be Q3

If Andrea traveled 300 miles in 5 hours at what rate was she driving?

Answers

Answer:

60

Step-by-step explanation:

[tex]\frac{300}{5}[/tex]

60

Hence, 60 is the answer

Answer:

60 mph

Step-by-step explanation:

For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:

[tex]300[/tex]÷[tex]5=60[/tex] miles.

So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.

Andrea was driving at 60 mph.

I hope this helps! Please let me know if you have any questions :)

Work out the value of the expression 2n + 1 when n= -5.

Answers

11

Step-by-step explanation:

2 times 5 +1=11

Answer:

2n+1=-5

2n=-5-1

2n=-6

n=-6÷2

n=-3

please help i have 10 minutes left: )!<3 thank you:) no links please

Answers

PT equals 7 pt and tq equal the same since t is a midpoint

23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?

Please help?

Answers

Answer:

median = 25. that's the answer

Answer:

Mean - 25

median - 25

range - 10

mode - 25

Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP

Answers

Pretty sure it’s the first one, if not maybe the last one! I hope that helps! :)

Which expression is equivalent to the expression below? 4 x 2/3 A.

A. 6 x 1/3
B.10 x 1/3


C. 2 x 1/3


D. 8 x 1/3

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Simplifying it:}[/tex]

[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\huge\text{Option A.}[/tex]

[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{6}{3}}[/tex]

[tex]\mathbf{= 2}[/tex]

~~~~~

[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option B.}[/tex]

[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]

[tex]\mathbf{= \dfrac{10}{3}}[/tex]

~~~~~~

[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~~

[tex]\huge\text{Option C.}[/tex]

[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{2}{3}}[/tex]

~~~~~

[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]

~~~~~

[tex]\huge\text{Option D.}[/tex]

[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]

[tex]\mathbf{= \dfrac{8}{3}}[/tex]

~~~~~

[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]

~~~~~

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? *

Answers

Very few frogs in this world don’t have spots on their backs!

Brainliest question!


What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!

Answers

Answer:

4 will replace?

Step-by-step explanation:

as 3-2=1

6-4=2

4-1=3

8-2=6

again

3-2=1

so

6-x=2

6-2=x

4

plz mark it as brainliest answer

can someone help me find the function please​

Answers

The bottom should be y=7x+40

Carlos walk to school on the 14th of 20 days in February which value is equivalent to the fraction of school days in February that Carlos walk to school

Answers

Answer:

[tex]\dfrac{7}{10}[/tex]

Step-by-step explanation:

Given that,

Carlos walk to school on the 14th of 20 days in February.

We need to find the equivalent to the fraction of school days in February that Carlos walk to school.

Required percentage is given by :

[tex]\%=\dfrac{14}{20}\times 100\\\\=14\times 5\\\\=70\%[/tex]

or

[tex]=\dfrac{7}{10}[/tex]

So, the required fraction is equal to [tex]\dfrac{7}{10}[/tex].

solve the proportion : 4/7=52/x

Answers

It’s an answer x=91
Explanation

What is the value of u?

Answers

Answer:

you on the games

Step-by-step explanation:

Answer:

I think its 58

Step-by-step explanation:

Factor the following expression: $55z^{17}+121z^{34}$.

Answers

Answer:

2r5r

jr = 986 which is 459=100 equals wrong

The factorization of the given expression [tex]55z^{17}+121z^{34}[/tex] is [tex]11z^{17}(5+11z^{17})[/tex].

What is the factorization of an expression?

"Factorization is a method of finding factors for any polynomial or any algebraic expression."

The given expression is

[tex]55z^{17}+121z^{34}[/tex]

By factorizing it, we get:

[tex]55z^{17}+121z^{34}\\= 11z^{17}(5+11z^{17})[/tex]

Learn more about factorization of an expression here: https://brainly.com/question/11994062

#SPJ2

Solve for X.

please help

Answers

Answer:

x = 10

Step-by-step explanation:

We can use ratios to solve

Side over bottom

5         5+3

---- = --------

x         16

Using cross products

5 * 16 = (5+3)*x

80 = 8x

Divide by 8

10 = x

x = 10.  This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x

A class of girls to boys is 5:3. If there are 9 boys, how many girls are in this class

Answers

Answer:

15 girls

Step-by-step explanation:

Girls  : Boys

5              3

To get to 9 boys multiply by 3

Girls  : Boys

5*3         3*3

15               9

There are 15 girls

3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next

Answers

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

A market sells cucumber for 1.20 the cost of each cucumber is the same

Answers

Answer:

Step-by-step explanation:

Let the number of cucumber = x

And the cost of the cucumber = y

Cost of the cucumber will be directly proportional to the number of cucumbers.

y ∝ x

y = kx [Here, k = proportionality constant]

Since, market sells 3 cucumbers for $1.2

1.2 = k(3)

k = 0.4

Therefore, equation for this situation will be,

y = 0.4x

Part A

If x = 1,

y = 0.4(1)

  = 0.4

For x = 2,

y = 0.4(2)

  = 0.8

For x = 3,

y = 0.4(3)

  = 1.2

Number of cucumbers            Cost($)

          1                                          0.4

          2                                         0.8

          3                                          1.2

Part B

Equation representing relation between number of cucumbers and the cost will be,

y = 0.40x [Option A]

factorise:
k² - 2k - 8
with explaining the steps

Answers

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(x) represents the loss on the sale of x Type M cars. What do these values tell you about losses?

Answers

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

[tex]L(50) = 8000[/tex]

[tex]L'(50) = -500[/tex]

Required

Interpret

From the question, we understand that:

[tex]x \to[/tex] Number of cars

[tex]L(x) \to[/tex] Profit on x cars

Using the above as a point of reference,

[tex]L'(x) \to[/tex] Rate of loss per x cars

So, the interpretations are:

[tex]L(50) = 8000[/tex]

A loss of 8000 on 50 cars

[tex]L'(50) = -500[/tex]

The loss rate is a reduction of 500 per 50 car

what is the answer pleaseee

Answers

Answer:

7

Step-by-step explanation:

In most cases the first step is to create an equation to solve for the missing variable

But in this case we are already given the equation

(7.25h + 5 = 6.5h + 10.25)

All we have to do is solve for h

7.25h + 5 = 6.5h + 10.25

Step 1 subtract 5 from both sides

7.25h = 6.5h + 5.25

Step 2 subtract 6.5h from both sides

0.75h = 5.25

Step 3 divide both sides by .75

h = 7

So at 7 hours the cost will be the same for both instructors

Solve for x
Show work

Answers

Answer:

10x is equal to 100 so 100+6=106

then

Step-by-step explanation:

4x is equal to 8 so 4+18=22

so it's 128

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​

Answers

Answer:

The family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)

Where:

[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.

[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]

If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:

Minimum ([tex]\cos \theta = 0[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]

Maximum ([tex]\cos \theta = 1[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]

With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

The dot product between the two vectors is the product of the magnitude between them times cosine angle.

The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

To find the value of [tex]p[/tex] we need to perform the dot product of two equation.

How do you multiply vector in dot product?

The dot product between the two vectors is the product of the magnitude between them times cosine angle

Given information-

The vector equation given in the problem is,

[tex]a = p\hat i +3\hat j - 7\hat k[/tex]

[tex]b = p\hat i - p\hat j +4\hat k[/tex]

For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.

Thus,

[tex]a .b<0[/tex]

Put the values,

[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]

In the dot product the multiplication of different unit vector is zero. Thus,

[tex]p^2-3p-28<0[/tex]

Factorize above equation using the split the middle term method as,

[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]

As the factor of the above equation is 7 and -4.

Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

Learn more about the dot product here;

https://brainly.com/question/9956772

URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!

Answers

1/2

Hope this helps! :)

______________

Answer:

1/2

Step-by-step explanation:

you use rise/run so its  (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50

If charlie bikes at an average speed of 7miles per hour how many hours will take to ride 28 miles

Answers

Answer:

It will take him 4 hours.

Step-by-step explanation:

7x4= 28 miles

What number is not a factor of 24

Answers

Step-by-step explanation:
5 is not the factor of 24
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