AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!

AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!

Answers

Answer 1

Answer:

For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Step-by-step explanation:

We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]

The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]

We have b=2 and a= -7

Finding f(b) and f(a)

Finding g(b) by putting x=2

[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]

Finding g(a) by putting x=-7

[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]

Now, finding average rate of change when g(b)=-5 and g(a)=-23

[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]

So, Average rate of change = 2

Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2


Related Questions

Anyone know this question.
I need help quick.
Thanks.​

Answers

what question????????

x² – 3x-7
x+2
Divide the following using synthetic division

Answers

Answer:

x-5+ [tex]\frac{3}{x+2}[/tex]

Step-by-step explanation:

If x+2 is a factor, -2 is a zero. So we can put -2 in the left-hand corner of your synthetic division, bring the coefficients down so you'll have a set up like this:

-2 |   1    -3    -7

____________

1. bring down the 1:

-2 |   1    -3    -7

____________

       1

2. multiply that by -2 and enter the result underneath 3:

-2 |   1    -3    -7

             -2

___________

       1

a. then, add through:

-2 |   1    -3    -7

             -2

___________

       1     -5

3. Do the same for -5 (multiply by the zero -2), enter that underneath -7 and add through:

-2 |   1    -3    -7

             -2    10

___________

       1     -5    3

Now, reassign the coefficients to their x. Because we already factored out an x with the zero, the 1 is assigned to 'x' rather than back to '[tex]x^{2}[/tex]'. The '-5' will not have an x attached. '3' is your remainder and cannot be divided out any further, so it will be written as [tex]\frac{3}{x+2}[/tex]. Finally, just put them back together to get x-5+[tex]\frac{3}{x+2}[/tex].

Hope this helped!

You have a piggy bank with $4 in it. Every month you get an allowance and add $5 to the piggy bank. Which of the following equations represent the amount of money in the bank after "x" months?

Answers

Amount of money in bank after “x” months = 4 + 5x

X represent how many months you keep adding $5 to your bank.

Check:

4+5(1) = 9 dollars first month
4+5(2)= 14 dollars second month
4+5(3)= 19 dollars third month
And so on...

Hope that helps!

5 • (- 10) x = 100 Esse número apagado foi

(A) 2
(B) 20
(C) -5
(D) -257*

Answers

The answers is A
Explanation ;)

What civilization did Buddhism begin in?

Answers

Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

1 Given that in the solution of the system below the value of y is -2, what is the value of b?
X - Y = 4
2x + 3y = b

Answers

Answer:

b=6

Step-by-step explanation:

x=6

6+-2=4

2(6)+3(-2)=b

2x6=12

3x-2= -6

12+ -6+=6

b=6

write 2350 milliion in standard form

Answers

Answer:

2,350,000,000

Step-by-step explanation:

Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.

Step-by-step explanation:

another easy 20 points I don't know how to do this and my teacher can't talk to me right now please help

Answers

Answer:

The answer is attached!

Step-by-step explanation:

But, to find the relative frequencies you will have to find the total number of responses, which is 143.

Then you will go to each box and divide the number given by the total number of response. I will show you each box below:

[tex]\frac{62}{143} = .43\\\\\frac{32}{143} = .22\\\\\frac{29}{143} = .20\\\\\frac{20}{143} = .14[/tex]

(Note here that all these add up to exactly 1 when you don't round them, but I rounded them and they add up to .99)

Hope this helps!!

- Kay :)

Show two different ways to factor −4x −28.

Answers

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Alyson has 46 beads to make bracelets. Each bracelet has 5 beads.
How many more beads does Alyson need so that all the beads she has
are used?

Answers

Answer:

4

Step-by-step explanation:

46+4 = 50

50/5 = 10

What is the solution to the system shown below?

Answers

No solutions, since the lines are parallel and never meet. Hope I helped :)

There are 38 students involved in planning the homecoming parade. Of these students,
15 are boys and 23 are girls. If three members are selected to lead the parade, find the
probability that all three are girls.

Answers

Answer:

60.5% chance

Step-by-step explanation:

it is 23/38, since there are 23 girls and 38 ppl in total

If three members are selected to lead the parade, 23/38 is  the probability that all three are girls.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

The number of students  involved in planning the homecoming parade are thirty eight 38.

Among these thirty eight students, there are fifteen number of boys 15 and Twenty three number of girls (23).

Given a condition that  If three members are selected to lead the parade,

We need to find the probability of all three girls.

The number of students =P(B)=38

The number of girls=P(A)=23

The probability of all three girls is P(A)/P(B)

23/38

Hence 23/38 is the probability that all three are girls.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operations could be used to find the truck’s relative position after 8 seconds? Explain

Answers

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

(8x − 5)(2x2 − 5x − 6)

Answers

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

Find the measure of each angle.
19)
x
80°
A) -115°
C) -80°
B) -100°
D) -170°

Answers

Answer:

Step-by-step explanation:

- 100°

Please help me ASAP!!!!!!!!!

Answers

I’m pretty sure it’s 2/5

Branist will be rewarded.15% of 290 is what

Answers

Answer:

43.5

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

43.5

Step-by-step explanation:

15%= 15/100

=0.15 × 290

= 43.5

Help me do not understand

Answers

Answer:

The slope is 4/60. Simplified is 1/15

Step-by-step explanation:

Rise over run :)

To find slope, you can use your two points in ysub1-ysub2/xsub1-xsub2

(2,60) and (6,120) are your points

120-60 60
———— = ——— = 15
6-2 4

Therefore, your slope is 15 or 15/1

This means the money earned increases by $15 for each hour worked

Hope this helps! :)

An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8, and 12 hours. Is there a direct variation? Explain.


PLS HELP ME ON THIS QUESTION!!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As an airplane travels 780 miles in 4 hours.

We need to determine the table and graph to show the mileage for 2,8 and 12 hours.

as

The airplane covers the distance in 4 hours: 780 miles

so

The airplane covers miles in 1 hour will be: 780/4 = 195 miles

Hence, the table can be calculated as:

Hours                             Distance Mileage in Miles

[tex]2[/tex]                                       [tex]2\times195\:=\:390[/tex] miles

[tex]8[/tex]                                       [tex]8\times195 = 1560[/tex] miles

[tex]12[/tex]                                     [tex]12\times195 = 2340[/tex] miles

It is clear from the table that it is a direct variation as the constant is 195 miles per hour.

Please check the attached graph. The graph clearly indicates a direct variation.


[tex] \frac{2}{4} + \frac{1}{3} [/tex]
I'm not sure how to do it​

Answers

5/6 is the correct answer

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4}+\frac{1}{3}\\Find a common denominator\\2*3=6\\4*3=12\\1*4=4\\3*4=12\\\frac{6}{12}+\frac{4}{12}\\6+4=10\\\frac{10}{12}=\frac{5}{6}[/tex]

Help plssssssssssssssssss

Answers

Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

Ariel has decided to survey a random sample of teenagers in her community about the community recreation center. There are 94 teenagers in her community. Which of the following sample sizes would best represent the preferences of all the teenagers in her community?
A. 13 teenagers

B. 32 teenagers

C. 9 teenagers

D. 26 teenagers

Answers

Answer:

26

Step-by-step explanation:

Find the slope of a line that is perpendicular to the line
y = -1/8x +3​

Answers

Answer:

The slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8

Step-by-step explanation:

Given the equation

y = -1/8x +3​

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is -1/8.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-1}{8}}=8[/tex]      ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]

Therefore, the slope of a line that is perpendicular to the line

y = -1/8x +3​ will be: 8

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons. What is the correct portion to solve this problem?

Answers

Answer:

3/4=n/8

Step-by-step explanation:

An equation to represent the given scenario is 3/4 = n/8. Therefore, option A is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, mix 3 liters of water with 4 lemons to make lemonade.

Let n be the number of liters of water mixed with 8 lemons.

So, an equation is 3/4 = n/8

3/1 = n/2

n=6

Therefore, option A is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What is the slope of the line shown below?

Answers

Answer:

[tex]m=-\frac{2}{3}[/tex]

Step-by-step explanation:

Taking any two points on the line to find the slope

(6, -3)(-6, 5)

Let us find the slope between the two points we took from the line graph

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]

[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]

[tex]m=-\frac{2}{3}[/tex]

1. Graph the equation y=-3/2x+1 2. Write the equation of the line in slope intercept form

Answers

Answer:

The equation is already in slope intercept form, -3/2 is the slope and 12 is the y intercept.

Is this a trick question?

Step-by-step explanation:

May I have brainliest please? :)



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

Steven earns extra money babysitting he charges $33 for 4 hours and $57.75 for 7 hours entering an equation to represent the relationship let x represent the number of hours Stephen babysits and let y represent the amount he charges the equation is y = ​

Answers

Answer:

y = 8.25x

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.

We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)

Computing the equation of the line we have:

[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]

Operating:

[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]

[tex]y - 33 = 8.25( x - 4 )[/tex]

[tex]y = 8.25x - 33 + 33[/tex]

y = 8.25x

There is a proportional relationship.

What does the X in the tall rectangle mean in math?

Answers

Answer:

What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.

Step-by-step explanation:

go to google

Helpppppppppppppppppp

Answers

Answer:

43°

Step-by-step explanation:

1. You need to create an equation: 3c+64+5c+82=90°

(Why 90°?)- this is a right triangle as you can see the little square

2. Then combine like terms

8c+146=90°

3. Subtract 146 from both sides

4. 8c=-56

5. Then divide 8 from both sides

C= -7

6. Then plug in -7 in 3c+64 and solve!

7. The final answer is 43

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