What is the average rate of change of f over the interval -7 < or equal to x Give an exact number

What Is The Average Rate Of Change Of F Over The Interval -7 &lt; Or Equal To XGive An Exact Number

Answers

Answer 1

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change can be found by using the following formula

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

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]

Good luck!


Related Questions

Help please i dont get thiss

Answers

Answer:

4/6

Step-by-step explanation:

just keep in multiplying the fraction upp and down

Answer:
4/6
Explanation:
You can multiple the numerator and denominator by the same factor. In this case you can multiply 2/3 by 2 and get 4/6.

CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME

Answers

Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

He national debt of a country is ​$298,800,000​,000,000 and the population is 53,980​,000. What is the debt per​ person? Write the answer without exponents.

Answers

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]

Hence, the debt per person is 5535383.47 units.

Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. The gift he wants to buy costs $110. Will Ian have enough money? Explain.

Answers

Answer:

Ian will have enough money to buy the gift

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2

Answers

Answer:

13.5π in2

Step-by-step explanation:

just took the quick check

CAN SOMEONE PLEASE HELP ME THIS TEST WAS DUE 2 DAYS AGO I ONLY GOT 10 MIN LEFT AND IM ONLY ON QUESTION 2 HELPPPP!

Answers

Answer:

The amount of water draining at a rate of 2.5 gallons per minute. I hope you do good on your test good luck! :)))

Step-by-step explanation:

Write in slope intercept form given two points (1,2) and (-2,5)

Answers

I’m pretty sure it’s -1
How you solve this is y2-y1/x2-x1
So 5-2/-3-1 which would be -1

Evaluate the following for f(-2)
F(x)=3x+2

Answers

Answer:

f(-2) = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 2

f(-2) is x = -2

Step 2: Evaluate

Substitute in x:                    f(-2) = 3(-2) + 2Multiply:                               f(-2) = -6 + 2Add:                                     f(-2) = -4

Answer    4

Step-by-step explanation:

3(-2)= -6

-6+2= -4

Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)

Answers

Answer:

Ex 1. y= -5.00x + 18.00   Ex 2. y= 0.50x + -1.00

Step-by-step explanation:

(results are in decimal form, rounded to the nearest 100th)

I need help with this question asap please

Answers

Answer:

62

Step-by-step explanation:

(82-2)-2× 3^7 ÷ 3^3

___________

3^2

80 - 2 × 3^4

_________

3^2

80 - 2 × 3^2

80 - 2 × 9

80 - 18

62

Which type of transformation is shown?
T
s
S'
R
R'
T'
Q'
a
b
С О СО
reflection
rotation
dilation
translation
с

Answers

Answer:

Looks like rotation to me‍♀️

Reflection

If you flip the top rectangle over downwards, the results you would get will be the same as the rectangle shown underneath.
The Q and R would switch places, and T & S would switch places.

Think about the reflection of your hands. (I don’t know if you could see that emoji... if you can’t, just place your hands side ways. It’s a reflection of one another)

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

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What two things do you NEED to write an equation in point-slope form?

Answers

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.

Answers

Answer:

157

Step-by-step explanation:

Answer:

can you explain what two number you added to get that number "157"

Step-by-step explanation:

list the points in a graph of f where f(x)= -2

equations is f(x)= 3x²-x-2​

Answers

Answer:

(0,-2), (1/3,-2)

Step-by-step explanation:

Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.

Answers

Each cap would be about $8.44. Equation to model this problem is 270/x=y or c for caps

WILL GIVE BRAINLIEST

Answers

Answer:

the answer is A

Step-by-step explanation:

Which expression is NOT equivalent to 6 × 14?

Answers

Answer:

D

Step-by-step explanation:

10(40)= 400

6(400)= 2,400

6(14)= 84

Therefore they are not equal.

-21+(-59) what is the answer

Answers

Answer:

-80

Step-by-step explanation:

[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]

Answers

The pictures are blurry I can’t see anything

PLEASE ANSWER THESE FOR GOD SAKE IF YOU DONT KNOW THEN DONT ANSWER PLEASE. Giving up all my points.... I only had 28

Answers

Answer:

d. y=2x-8

b. y=3/4x-1 & y=-4/3x+9

Step-by-step explanation:

I used desmos and put in all of the answer options to see which one worked the best.

Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.

Answers

Answer:

DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.

Step-by-step explanation:

Answer:

All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.  

Step-by-step explanation

My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain

In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly

Answers

Answer:

The original number is 572.

Step-by-step explanation:

Let the 3 digit number by xyz.

Where x is the hundreds digit, y is the tens digit and z is the units digit.

Hence, the digit is (100x + 10y + z).

From the question, the tens digit equals to the sum of the hundreds digit and the units digit.

That is,

y = x + z ...... (1)

Also, from the question, the hundreds digit of this number is 3 more than the units digit.

That is,

x = z + 3 ...... (2)

Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number

If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).

the new number is 11 less than half of the original number

That is,

(100z + 10y + x) + 11 = 1/2(100x + 10y + z)

This becomes

200z + 20y + 2x + 22 = 100x + 10y + z

200z - z +20y -10y +2x - 100x = -22

199z + 10y -98x = -22 ...... (3)

Solving the equations simultaneously,

Put the value of x in equation (2) into equation (1)

x = z + 3 ...... (2)

y = x + z ...... (1)

That is,

y = (z+3) + z

y = 2z + 3 ...... (4)

Put the value of y in equation (4) into equation (3)

199z + 10y -98x = -22

199z + 10(2z +3) -98x = -22

199z + 20z + 30 -98x = -22

219z -98x = -22-30

219z -98x = -52 ...... (6)

Put the value of x in equation (2) into equation (6)

219z -98(z+3) = -52

219z -98z -294 = -52

121z = -52 + 294

121z= 242

z = 242/121

∴ z = 2

Put the value of z into equation (2)

x = z + 3

x = 2 + 3

∴ x = 5

Put the values of z and x into equation (1)

y = x + z

y = 5 + 2

∴ y = 7

Hence, x = 5, y = 7 and z = 2.

Recall that the original number is 100x + 10y + z.

100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572

Hence, the original number is 572.

In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the

90% confidence interval for the population proportion, p?

Answers

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

Algebra question

What is the solution to the following system?


(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)

Answers

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is [tex](2,1,0)[/tex].

What is Algebra?

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

[tex]3x+3y+6z=9[/tex]    [tex](i)[/tex]

[tex]x+3y+2z=5[/tex]    [tex](ii)[/tex]

[tex]3x+12y+12z=18[/tex]  [tex](iii)[/tex]

To find the solution to the above give algebraic equations,

We have to find values of [tex]x,y,z[/tex].

So,

We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],

[tex]3x+3y+6(0)=9[/tex]

[tex]3x+3y=9[/tex]    [tex](iv)[/tex]

Now,

We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],

[tex]x+3y+2(0)=5[/tex]

[tex]x+3y=5[/tex]  

[tex]x=5-3y[/tex]    [tex](v)[/tex]

Using equation [tex](iv)[/tex] & [tex](v)[/tex],

We get,

[tex]3(5-3y) +3y=9[/tex]

[tex]15-9y+3y=9[/tex]

[tex]-6y=-6[/tex]

[tex]y=1[/tex],

Now we have value of  [tex]y=1[/tex], putting this value in equation  [tex](v)[/tex],

[tex]x=5-3(1)[/tex]

[tex]x=2[/tex],

Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.

To learn more about algebra click here

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Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4

Answers

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

Pair of expressions which represents the area of the given rectangle

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ [tex] \text{TheAnimeGirl}[/tex] ♪

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A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.

Answers

Answer:

the answer is 250

Step-by-step explanation:

Answer:

10.036

Step-by-step explanation:

Remark

Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).

At the point (0,50) draw a horizontal line to (200,50)

Join the point (200,50) to (0,0)

What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.

That angle is the same as the angle of elevation.

The horizontal line is 200 feet.

The vertical line is 50 feet

Formula

Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25

Solution

tan-1(0.25) = 14.036

Conclusion

The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation.  so the angle you found and the angle of elevation are the 2 angles defined by the z.

HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=0

Step-by-step explanation:

Anything to the power of 0 is 1

Answer:

x=0

Step-by-step explanation:

take the logarithm of both sides of the equation to remove the variable from the exponent.

Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?

Answers

she made 1300 biscuits

PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X

Answers

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

4

=

1

0

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

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