Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .

Answers

Answer 1

Answer:

The average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]

Putting x = 6

[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]

         [tex]=-36+18+3[/tex]

          [tex]=-15[/tex]

Putting x = 2

[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]

         [tex]= -4 + 6 +3[/tex]

         [tex]= 5[/tex]

The change in y from 2 to 6 is

Δy = -15 - 5

    = -20

The interval from 2 to 6 has a width of

Δx = 6 - 2

     = 4

Therefore, the average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      


Related Questions

ksdfjsbjgdfg f sndm f

Answers

Answer:

Nice

Step-by-step explanation:

Answer:

hahhhh funny one nice :-)

40 coins = 7.75 how many are quarters

Answers

31 quarters this is the answer to your question

Answer please thanks

Answers

Answer:

4. interphase

5. prophase

6. metaphase

It is 11:45 AM when can you put the bread in the oven if the brain needs to bake for 30 minutes what time will the bread finished baking

Answers

Answer:

The bread will be done baking at 12:15

Step-by-step explanation:

11:45+30=12:15

Answer:

12:15 pm

Step-by-step explanation:

30 minutes is two sets of 15 minutes

15+45=60

Therefore, 12:00pm is 15 minutes of back time

Add the second set of 15 minutes and you get 12:15 pm

One-eighth of a number is -4,200.

What is the number?

-42,800
-37,800
-33,600
-42,000

Answers

Answer:

33,600

Step-by-step explanation:

take -4200 and multiply it by 8. You'd do this since the equation to get -4200 is

x(1/8) = -4200

multiply both sides by 8 to get rid of the fraction and you get x=33,600

Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly selected one at a time and tested, what is the probability the fourth defective engine will be found on the second trial?

Answers

Answer:

0

Step-by-step explanation:

From the given information;

Let x be the number of trails on which the [tex]r^{th}[/tex] defective occurs.

Let the probability that an occurrence of a defective be p = 0.10

Suppose x is a random variable that follows a negative binomial distribution with parameters r and p.

Then the probability mass function of X can be expressed as:

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)p^r (1 - p) ^{x-r} \ \ \ \ ; x=r, \ r+1 , \ r+2 , ...[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r (1 - 0.10) ^{x-r}[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r ( 0.90) ^{x-r} \ \ ... \ \ (1)[/tex]

We are to find the probability of the fourth defective engine will be found on the second trial.

i.e. r =  4 and x = 2

[tex]P(X=2) = \bigg (^{2-1}_{4-1} \bigg)(0.10)^4 ( 0.90) ^{2-4}[/tex]

[tex]P(X=2) = \bigg (^1}_{3} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]P(X=2) = \bigg (\dfrac{1!}{3!(1-3)!} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]\mathbf{P(X=2) = 0}[/tex]

Find the value of x and y.
12
9
Гу
X=
y =

Answers

Answer:

this makes no sense give me the full question please

Step-by-step explanation:

Y’ALL PLEASE HELP ME ON MY TEST PLEASE I’VE BEEN STRUGGLING TO UNDERSTAND THE CLASSES AND MY TEACHER WONT EVEN EXPLAIN ANYTHING JUST SAY “I don’t know what you want me to do.” LIKE EXPLAIN PLEASE. SOMEONE PLEASE JUST HELP ME ON MY TEST

Answers

bless jesus and stop gettin mad

Answer:

1. 4320

2. 248

3. -180

4. 1/8

The sum of the number and three times its reciprocal is 79/10. Find the
number.

Answers

hi  

so    x + 3 (-x)  =  79/10

        x-3x = 79/10

         -2x = 79/10

             x =   79/10 / -2  

              X =   79/ 10 *   -1/2

              x =     - 79/20

              x =   - 3.95

Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .

Answers

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

How many times does 35 go into 100 please give correct answer max points.

Answers

Answer:

100/35 = 2

35 goes into 100 2 times

Step-by-step explanation:

Find the area of a square with side length x when x is equal to the given value.
Are the area of a square and the length of its side directly proportional? Justify your answer.
x=3 in.

Answers

Answer:

9

Step-by-step explanation:

Answer:

The area of the square is

9  square inches. The area of the square and the length of its side are not directly proportional quantities

Step-by-step explanation:

What are the characteristics of the F distribution

Answers

The curve is not symmetrical but skewed to the right.
There is a different curve for each set of dfs.
The F statistic is greater than or equal to zero.
As the degrees of freedom for the numerator and for the denominator get larger, the curve approximates the normal.

Jesus has a total of $80 in his savings account he is withdrawing $10 from his savings account each week write an equation indicating his withdrawal from his savings account

Answers

80 - 10w

w stands for how many weeks Jesus withdraws $10.

Hope this helps and have a nice day!!!

A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?

Answers

Answer:

250 centimeters

Step-by-step explanation:

2 meters into centimeters is 200 so 200+50=250

Answer:

100cm

Step-by-step explanation:

Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Answers

Answer:

b

Step-by-step explanation:

Answer:

b.

1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;

Step-by-step explanation:

IT'S B

someone please help me i am so bad with point slope stuff
Write the equation of the line that passes through the points (2,−6) and (6,-6).
Write the equation of the line that passes through the points (9,8)and (6,3).
Write the equation of the line that passes through the points (-9,-4) and (-9,-4).
What is the equation of the line that passes through the point (−8,5) and has a slope of 0?
What is the slope of the line that passes through the points (-2, 7)and (2, -5).
What is the slope of the line that passes through the points (6, -5)and (6, -8).

Answers

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

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

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

MORE MATH FOR YOU GUYS! BUT FOR REAL PLS HELP! 20 PTS!!!

Answers

the total cost is $94.50

Answer: $94.50

Step-by-step explanation:

Which of the following is a factor of xy + 3y − 7x − 21?

Group of answer choices

5

x + 3

x2 − 3x + 9

All of the above

Answers

Answer:

x + 3

Step-by-step explanation:

answer if you can please ​

Answers

Answer:

C.

Hope this helps also please mark as Brainliest hit the crown thanks :)

Ten percent of the engines manufactured on an assembly line are defective.

a. If engines are randomly selected one at a time and tested what is the probability that the first non defective engine will be found on the second trial?
b. What is the probability that the third non defective engine will be found on the fifth trial?
c. Find the mean and variance of the number of trials on which the first non defective engine is found.
d. Find the mean and variance of the number of trials on which the third non defective engine is found.

Answers

Answer:

a) the probability that the first non-defective engine will be found on the second trial is 0.09

b) probability that the third non-defective engine will be found on the fifth trial is 0.00486

c) the Mean is 1.1111  and Variance is 0.1235  

d) the Mean is 3.3333and Variance is 0.3704  

Step-by-step explanation:

Firstly;

Let x be the number of trail on which the rth defective occurs

Also let the probability that an occurrence of a defective be p = 0.10

Here, x follows negative binomial distribution with parameters r and p

The probability mass function of X is as follows:

P(X = x) = [ x -1  p^r ( 1 - p)^(x-r)       ; x = r, r + 1, r + 2, ...

                 r - 1 ]

=   [ x -1  (0.10)^r ( 1 - 0.10)^(x-r)

     r - 1 ]

= [ x -1  (0.10)^r ( 0.9)^(x-r)  ..........n 1..... let this be equatio

    r - 1 ]

This represents the probability that the rth success occurs on the xth trail.  

a)

probability that the first non-defective engine will be found on the second trial?

Substitute r = 1 and x = 2 in equation 1  

P(X = 2)  = [ 2 - 1   (0.10)¹ ( 0.90 )²⁻¹

                   1 - 1 ]

= (0.10) × (0.90)

= 0.09

Therefore, the probability that the first non-defective engine will be found on the second trial is 0.09

b)

probability that the third non-defective engine will be found on the fifth trial?

So we substitute r = 3 and x = 5 in equation 1  

P(X = 5) = [ 5 - 1  (0.10)³ ( 0.90)⁵⁻³

                  3 - 1 ]

=    [ 4    (0.10)³ ( 0.9)²

      2 ]

= 0.00486

Therefore, probability that the third non-defective engine will be found on the fifth trial is 0.00486

Now the formula for the mean of the negative binomial distribution is as follows:  

Mean u = r / p    ------- let this be equation 2

The formula for the variance of the negative binomial distribution also is as follows:  

Variance α² = rq / p²   ---------- let this be equation 3

so

c)

the mean and variance of the number of trials on which the first non-defective engine is found.  

First, let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10  

Now we substitute r = 1, p = 0.90 and q = 0.10 in equation 2 & 3simultaneously,

the mean and variances are as follows;

Mean = r/p = 1/0.90 = 1.1111

Variance = rq/p² = (1)(0.10) / (0.90)² = 0.1235  

Therefore the Mean is 1.1111  and Variance is 0.1235  

d)

the mean and variance of the number of trials on which the third non-defective engine is found  

Let the probability that non-defective engine found be p = 0.90

And q = (1 - p) = 1 - 0.90 = 0.10

Now we substitute r = 3, p = 0.90 and q = 0.10 in equation (2) and (3) simultaneously,

the mean and variances are;

Mean = r/p = 3/0.90 = 3.3333

Variance = rq/p² = (3)(0.10) / (0.90)² = 0.3704

Therefore the Mean is 3.3333 and Variance is 0.3704    

graph the line with the equation y=-6/5x+1

Answers

See attachment for answer:

find the coordinates for the midpoint of the segment with endpoints given (3,5)
(-2,0)​

Answers

Answer:

[tex](\frac{1}{2},\frac{5}{2})[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 5)

Point (-2, 0)

Step 2: Find midpoint

Substitute:                    [tex](\frac{3-2}{2},\frac{5+0}{2})[/tex]Subtract/Add:               [tex](\frac{1}{2},\frac{5}{2})[/tex]

If the class mark and class size of the class
interval are 25 and 10 respectively, then the
class interval is​

Answers

Answer:

The class interval is: 20-30

Step-by-step explanation:

Let l be the lower class limit and u be the upper class limit.

Then according to given statement that class mark is 25

[tex]\frac{l+u}{2} = 25\\l+u = 50\ \ \ Eqn\ 1[/tex]

And

Class size is 10

So, the second equation will be:

[tex]u-l = 10\ \ \ \ Eqn\ 2[/tex]

Adding equation 1 and 2

[tex]l+u+u-l = 50+10\\2u = 60\\\frac{2u}{2} = \frac{60}{2}\\u = 30[/tex]

Now putting u =30 in equation 1

[tex]l+u = 50\\l+30 = 50\\l = 50-30\\l = 20[/tex]

A class interval is written in the form that lower limit comes first and upper limit comes second.

So,

20-30

Hence,

The class interval is: 20-30

Consider the function. f(x) = 2x(x - 1)
What are the values of
f(0)=
f(3)=
f(-4)=

Answers

Answer:

3

Step-by-step explanation:

Help and please show all your work I need this ASAP

Answers

3) y-intercept is 2

Please help 30 points plus brainlyist who does first

Determine which expressions can be simplified further, and which cannot. Sort the expressions into the correct
category
2x + 3y
Can Be Simplified
Cannot Be Simplified
x + x
4r +
7y + 1
4y + 4x
y + 2y

Answers

Answer:

Step-by-step explanation:

expresion can be simplified is they have like terms such as

x+x=2x

y+2y=3y

expresions can NOT be simplified if they have difrerent variables or just one number suchh as

2x+3y

7y+1

4y+4x

I do not know what is 4r+

Answer:

can - y +2y

9x+6x

4x+x

can't 4y+4x

7y+1

2x+3y

Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?

Answers

Answer:

Store C

Step-by-step explanation:

$7.56÷7=$1.08 a candy bar

Three printing companies were rated on their performance using a percentage scale. This graph shows how they were
rated.
Printing Company Ratings
100
KEY
Q = Quicky Printing Company
80
R = Reliable Printers, Inc.
S = Superior Printing, Inc.
60
Rating Scale (%)
20
Q
S
Printing Company
Which company was rated the best?
a. There is insufficient information to determine which company was rated best.
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

D All three companies were rated to be equal

Step-by-step explanation:

got it right on EDG2020

You compare the sizes of two MP3 players. The old model is 3/4 inch thick. The new model is 2/5 inch thick. How much thinner is the new model than the old model?

Answers

Answer:

7/20 thinner

Step-by-step explanation:

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