f(x)= x^2 + 10f(x)=x

2

+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10

Over which interval does fff have a positive average rate of change?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket


(Choice B)

B

[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket


(Choice C)

C

[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket


(Choice D)

D

[-1,2][−1,2]

Answers

Answer 1

Answer:

The option D represents an interval with a positive average rate of change.

Step-by-step explanation:

Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:

[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.

Now we proceed to check each option:

A. [tex]a = -3[/tex], [tex]b = 3[/tex]

[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]

[tex]\bar f = 0[/tex]

B. [tex]a = -4[/tex], [tex]b = -1[/tex]

[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]

[tex]\bar f = -5[/tex]

C. [tex]a = -3[/tex], [tex]b = 1[/tex]

[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]

[tex]\bar f = -2[/tex]

D. [tex]a = -1[/tex]. [tex]b = 2[/tex]

[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]

[tex]\bar f = 1[/tex]

The option D represents an interval with a positive average rate of change.

Answer 2

Answer:

It would be D

Step-by-step explanation:


Related Questions

Select the correct answer from each drop-down menu.
A
m
D
G
F
с
B
FABERE, then line segment
is parallel to line segment
Reset
Next

Answers

Answer:

D-E is parallel to F-G which is parallel to B-C meaning all three are parallel

Step-by-step explanation:

Free cookies Just answer this question! Elena solves the equation x^2=7x by dividing both sides by x to get 7. She says
the solution is 7. Lin solves the equation x^2=7 by rewriting the equation to get
x^2-7=0. When she graphs the equation x^2-7=0, the x-intercepts are (0,0) and
(7,0). She says the solutions are 0 and 7. Why should Elena not divide by x?

Answers

x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.

Why should Elena not divide by x?

Here we have the quadratic equation:

[tex]x^2 = 7x[/tex]

Notice that we don't know the value of x, so technically, x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.

The quadratic equation can be rewritten as:

x^2 - 7x = 0

x*(x - 7) = 0

(x - 0)*(x - 7) = 0

So the two solutions are x = 0 and x = 7, because x = 0 is a solution, we see that x can be equal to zero, so we can't divide by x.

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A school boy agrees with his schoolmaster that he will pay a penny for every sum he gets wrong, if he wins 3 pence for every one he gets right. After doing 20 sums he is 4 dimes down. How many did he get right?

Answers

Answer:

you see he is 4 pens down you see is 3 pence for every one he gets right. after doing 20 sums he is 4 down so 20 dived by is 5 if there is an answer choice for 16 pick 16 if both pick 5 first trust me.

Student council is selling Roses and Candy Grams for Valentine's Day. Each Candy Gram costs $1.50
and each Rose costs $2.00. The student council made $368 from their sales. They sold a total of 217
Roses and Candy Grams. How many roses were sold? Show all your work for full marks! (Solve the linear
system using substitution or elimination).
Letr represent
Let c represent
I

Answers

Answer:

Number of Roses sold = 132

Number of Candy Grams sold = 85

Step-by-step explanation:

Let the number of Roses sold = [tex]r[/tex]

Let the number of Candy Grams sold = [tex]c[/tex]

Cost of one Rose = $1.50

Cost of [tex]x[/tex] Roses = $1.50 [tex]r[/tex]

Cost of one Candy Gram = $2.00

Cost of [tex]y[/tex] Candy Grams =  [tex]\$2.00 \times c[/tex]

Total number of Roses and Candy Grams sold = 217

i.e.

[tex]r+c=217 ..... (1)[/tex]

Total cost = $368

Writing equation as per question statement:

[tex]\$1.50r+\$2.00c=\$368 ..... (2)[/tex]

Using elimination method, let us eliminate [tex]y[/tex] of the two equations.

Multiplying equation (1) with 2 and subtracting equation (2) from it:

[tex]0.50r=2\times 217 - 368\\\Rightarrow 0.50r=434 - 368\\\Rightarrow 0.50r=66\\\Rightarrow r=132[/tex]

By equation (1):

[tex]c=217-132\\c=85[/tex]

So, the answer is:

Number of Roses sold = 132

Number of Candy Grams sold = 85

Help will give a crown AND 83 POINTS

Answers

Answer:

A is correct

Step-by-step explanation:

How can ΔABC be mapped to ΔXYZ?

First, translate vertex A to vertex
.

Next,
ΔABC to align the sides and angles.

Answers

Answer:

X

Rotate

Step-by-step explanation:

correct on edge 2020

Answer:

a. x

c. rotate

Step-by-step explanation:

edge2021 :)

Qual é o oposto de de -3

Answers

Answer:

lo contrario de -3 es positivo tres o 3

Given that n=N-ab find the value of N when n=6,a=1 and b=2​

Answers

Answer:

N = 8

Step-by-step explanation:

n=N-ab

where n = 6

          a = 1

          b = 2

6 = N - 1(2)

N = 6 + 2

N = 8

plz help asap
thanks xoxoxoxoxox

Answers

i cannot see a pictureesss
There is no picture

A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a
linear function of the number of people. Write an equation in slope-intercept
form for this situation.

Answers

Answer:

y = 15x + 50

Step-by-step explanation:

We set out by finding the slope

the two points give are (15,275) and (25,425)

Slope m is;

y2-y1/x2-x1 = (425-275)/25-15 = 150/10 = 15

So the equation is like;

y = 15x + b

To get b, let us use the point (15,275)

We have

275 = 15(15) + b

b = 275-225

b = 50

So the equation is;

y = 15x + 50

A parachutist's speed during a free fall reaches 264 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Speed:

Distance fallen in 10 seconds:

Answers

Answer:  They will fall 800 meters. And they are falling 80 meters per second.

Step-by-step explanation: You must first take 264 divided by 3.3 which equals 80, then multiply is by 10.

Total distance fallen in 10 seconds is given by the equation A = 800 meter

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance fallen in 10 seconds be represented as A

Now , the value of A is

The parachutist's speed during free fall = 264 feet/second

Now , 1 meter = 3.3 feet

So , 1 feet = ( 1/3.3 ) meter

So , the value of 264 feet = 264 x ( 1/3.3 ) meter

On simplifying the equation , we get

The value of 264 feet/second = 80 meter/second

Now , the distance traveled by the parachutist every second = 80 meter

So , the distance traveled by the parachutist in 10 seconds = 10 x distance traveled by the parachutist every second

Substituting the values in the equation , we get

The distance traveled by the parachutist in 10 seconds A = 10 x 80

On simplifying the equation , we get

The distance traveled by the parachutist in 10 seconds A = 800 meter

Therefore , the value of A is 800 meter

Hence , the total distance is 800 meter

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What is the value of x in the equation:
1/3(x+3)+ 4 = -4+2
/3x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\[/tex]

or if it is

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}[/tex]

You are $45 how many cars did you wash

Answers

Perhaps 4 car washes, yeah?

Answer:

Give the full question, then I might be able to solve it.

the fastest train in the western hemisphere is acela express on a route between boston,massachusetts and new haven,conneticut the train regulary travels 135 miles in 60 minutes what is the speed in mies per minutes on the portion of the route

Answers

Answer:

acela express

Step-by-step explanation:

it travles 135 miles in and hout

Answer:

2.25

Step-by-step explanation:

its right on edg

A company that makes​ hair-care products had 2,000 people try a new shampoo. Of the 2,000 ​people, 6 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
*blank* % of the people had a mild allergic reaction.

Answers

Answer:

0.3%

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Divide 6 by 2000

6/2000 = 0.003

One Way to Solve:

To convert any percentage to a decimal, move the decimal point two spaces back from the percentage

0.003 = 000.3%

a car can drive 600 miles on 18 gallons of gasoline. How many miles can a car drive on 15 gallons of gasoline​

Answers

Answer:

Use the cross technique if it’s name like that in English but , I wish you can understand it from what I‘ve written .

it would be about 500 miles. if you divide 600 by 18 to get the miles for 1 gal (about 33.3). then you multiply it by 15 to get the 500 (499.5 rounded up)

Please help
Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week.
Which equation could you use to find how long it will take to save for the guitar?
$253.77 + $136.27 = $23.50 w
$253.77 - w = $136.27 + $23.50
$136.27 + $23.50 w = $253.77
$23.50 w = $253.77

Answers

Answer:

is  the last one brof

Step-by-step explanation:

I’d say the third one




If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, add 3 to it and multiply the result by

Answers

Answer:

6

Step-by-step explanation:

u use the equation 2x

so It looks like this...2(3)

so the result is 6

pls mark me as brainliest

my brain is too tired to function someone save me

Answers

Answer:

(3,2)

Step-by-step explanation:

Hope I helped

If anyone plays pokemon go put your code in your answer and I will add you

Answers

that's not why this app is for

Answer:

i don't sorry! my friend does... let me see if i can get their code

Step-by-step explanation:

What is 1/3-5/6/5/6 enter ur answer of simplest form

Answers

Answer: 0.30555555555

Step-by-step explanation:

I NEED HELP ASAP!!!!!!ANY RIGHT ANSWER GETS BRAINLIEST!!!
A bookstore is advertising 25% off all books today. What is the sale price of a book that has a retail price of $18?

a.$13.50
b.$4.50
c.$22.50
d.$16.50

Answers

it’s a
100-25= 75
75 divided by 0.01
0.75 x 18

Evaluate 6g - 8k when g=4 and k=2.8

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

6g - 8k

6(4) - 8(2.8)

24 - 22.4

= 1.6

Step-by-step explanation:

=6g-8k

=6×4-8×2.8

=24-22.4

=1.6

As I guess

hope it help u.

answer the question pls xx

Answers

Answer:

3 lines of symmetry

Step-by-step explanation:

the lines go through the vertices of the triangle

HELPPPP PLZZZZ


its ok khan academy

Answers

Answer:

2/3

Step-by-step explanation:

You rise up the y axis 2 times

and

you run/ go across the x axis 3 times

rise/run or y/x

i neeed help asap please

Answers

Answer:

X=8

Step-by-step explanation:

EASY MATH

5x+35=75
5x=40
x=8
set each part equal to each other because vertical angles are congruent

Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does she need to win in a row to get 20%?

Answers

Answer:

10

Step-by-step explanation:

Given that Sasha has won 0 games in the 40 games she has played.

Let she needs to win x game in a row, so

Total game she played = 40 + x

The number of the game she won is x, which is 20% of the total game she played, so

x = 20% of (40+x)

[tex]\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.[/tex]

Hence, she needs to win 10 games in a row.

simplify this expression 9xy4x 3x3y​

Answers

Answer:

81 x y^5

Step-by-step explanation:

Simplify the following:

9×3×3 x y^4 y

3×3 = 9:

9×9 x y^4 y

9 x y^4×9 y = 9×9 x y^(4 + 1):

9×9 x y^(4 + 1)

4 + 1 = 5:

9×9 x y^5

9×9 = 81:

Answer: 81 x y^5

Jaimie earned $80 this week coaching basketball, which is twelve dollars more than twice what she made last week. How much money did Jaimie make last week?

Please Help!!!!

Answers

Answer:

34

Step-by-step explanation:

$80 - 12 is 68, and 68/2 is 34.

Hope this is right and helps!

Use a sentence to describe c(10)=-3

Answers

Answer:

a number times ten equals negative three

Step-by-step explanation:

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