Let f(x)=x√x-4



What is the average rate of change of f(x) from 8 to 14?

Answers

Answer 1

Answer:

Avg rate of change =

[ f(14 ) - f(8) ] / [ 14 - 8 ] =

[ ( √ [14 - 4] ) - (√ [8 - 4]) ] / 6 =

[ √10 - √4 ] / 6 =

0.19


Related Questions

PLEASE HELP what does r equal to?

Answers

Answer:

R=15 1/6

Step-by-step explanation:

You can add 5 and 1/6 to each side so -5 1/6+5 1/6= 0 so it cancels out therefore on the other side of the equal side you add 5 1/6+10 to get 15 1/6.

Answer:

r=25

Step-by-step explanation:

i did the test lol

Help I will be marking brainliest!!!

A. 18√3
B. 56√3
C. 36√3
D. 56

Show work, if possible. Thanks❤️

Answers

Answer:  A.  18*sqrt(3)

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

----------------------

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

3y + 7 = x is this a direct proportion

Answers

Answer:

no

Step-by-step explanation:

if the ratio (yx) of two variables (x and y) is equal to a constant (k=yx) .in this case y is said to be directly proportional to x with proportionality constant k

How many solutions does the following equation have?
-5(z+1)=-2z+10−5(z+1)=−2z+10

Answers

Step-by-step explanation:

the answer is 13 when we evaluate it

Answer:

The given equation has exactly one solution.

What is the slope of the line through the points (-2, -1) and (4, 3)?
1. 3/2
2. 5/2
3. 2/5
4. 2/3

Answers

Answer:

4. 2/3

Step-by-step explanation:

Plug the coordinates into the formula.

y2 - y1 / x2 - x1    

= 3 - (-1) / 4 - (-2)

= 2/3

I think it’s 2/3 sorry if I’m wrong

What is the value of x?

Answers

Answer:

x=9

Step-by-step explanation:

hello :

use thales- rul :

(3x-20)/56 =9/72

(3x-20)72= 9×56

3x-20 =9×56/72

3x-20 =7

3x=27

x=27/3

x=9

Put these fractions in order of size, smallest to largest.

7/10 2/3 4/5 11/15

Answers

Answer:

2/3,7/10,11/15,4/5

Step-by-step explanation:

You want to make them all have the same denominator so find a number all of the denominators can go to. In this case it seems to be 30.

7/10x3

21/30

2/3x10

20/30

4/5x6

24/30

11/15x2

22/30

Answer:

2/3, 7/10, 11/15, 4/5

Step-by-step explanation:

2/3= .66

7/10= .70

11/15=.73

4/5= .80

the decimals are numbers.

what is the volume of a sphere with a diameter of 6.3 rounded to the nearest tenth

Answers

The answer is 4.................

Answer:

Volume of sphere = 130.9cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \: \times r^{3} [/tex]

We need the radius. 6.3 ÷2=3.15

[tex] \frac{4}{3} \times \pi \times 3.15 ^{3} [/tex]

=130.924303cm³

rounded to the nearest tenth

=130.9cm³

napstablook makes some very amazing spooky tunes

Answers

Answer:

? is that the question? is there a link for it or something?

Step-by-step explanation:

question is below
will give brainliest to best answer

Answers

Answer:

i dont see a question, sorry

Zdjecie przedstawia falę wytworzona na sznurze określ w przyblizeniu amplitudę oraz dlugośc tej fali.Skorzystaj z przedstawionej na zdjęciu podziałki.

Answers

okk ok okay i see.




cool

​ y=3x+3 y=−2x+3 ​ how many solutions does the system have

Answers

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

-----------------------------------------------------------------------------------------------------------

To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

-----------------------------------------------------------------------------------------------------------

These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

PLEASE HELP ME!!!! I WILL MARK!!!!!!! COME ON.

Answers

Answer:   f(x) = x + 13

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

Iyanna and her family took a three-day trip. They drove 178 miles on the first day, 188 miles on the second day, and 163 miles on the third day. If the entire trip took 8 hours, what was the average driving speed?

Answers

Answer:

62 mph

Step-by-step explanation:

PLEASE ILL GIVE BRAINLIEST!!! help

Answers

Answer:

first equation goes with the #3

second equation goes with the #1

third goes with the #4

Step-by-step explanation:

hope I helped

At a pizza party, Jared and his friends ate 3 1 cheese pizzas and 2 3 Hawaiian pizzas.
4 4
How much pizza did they eat in all?

Answers

Answer:

54

Step-by-step explanation:

31 cheese pizza+23hawaiian pizzas=54 pizza in all

Answer:3

Step-by-step explanation:

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3101
V90
3390
3120
V20
800

Answers

Answer:

3101

Step-by-step explanation:

Help out a young degenerate

Answers

B. 106 cuz that’s what the internet said
The correct answer is B hope this helped


Calculate an
8% tax on an
$80 tablet.

Answers

$6.40 is 8% of 80 mark brainliest please

Answer:

$6.40

Step-by-step explanation:

All you have to do is find 8% of 80 dollars. That means you do 8/100x80/1 which is equal to 32/5. Simplify this improper fraction to get $6.40. This means that 8% of 80 is $6.40.

Help me solve this problem please

Answers

Ill try though

Step-by-step explanation:

my dude search it up?

heeelelppppppp it is area of a circle help me plz i will make you the brillientest

Answers

18.84 I think you have to do the math from the radius to the edge of the circle

Two rectangles are similar. Which proportion
could you solve to find the missing side length?

ILL GIVE U BRAINLEST PLEASE HELP ME

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

x=6

Hopefully it is correct and I tried my best good luck

PLEASE HELP THIS IS DUE IN 20 MINUTES

Describe fully the single transformation that maps shape A onto shape B.
y
4
A
2
1
B
-5 -4 -3 -2 -1 0
-1
1
2 3 4
X
5
-2
-3
-41
Total marks: 2

Answers

Answer:

I think shape A is just reflected, and make Shape B.

The reflection line is on 2 of the y axis

Step-by-step explanation:

What is the degree measure of Angle P?

Answers

Answer:

D. 40°

Step-by-step explanation:

Angle formed by two secants is half of the difference of intercepted arcs:

m∠P = 1/2(mST - mQR)

Find the measure of missing arc:

mQR = 360° - (85° + 95° + 175°) = 5°

Substitute the value of arc QR into above equation:

m∠P = 1/2(85° - 5°) = 40°

Correct choice is D

the annual rent of the house is 3600$ . Find the rent of 5 months

Answers

Answer:

1500 dollars

Step-by-step explanation:

annual means yearly and we want to find how much it will cost for 5 months

First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12

3600/12=12 so it cost 300 dollars monthly

then we just multiply that by 5

5x300=1500 so it cost 1500 dollars for 5 months

Answer:

Step-by-step explanation:

1500 for 5 momth

(3600*5)/12

Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?

Answers

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

express a-9 with a positive exponent

Answers

Answer:

[tex]a-9^{1}[/tex]

Hope that helps!

Step-by-step explanation:

Answer: [tex]a-9^{1}[/tex]

Misty surveyed 200 students and asked their favorite type of music. The results showed that 18 students picked rock music as their favorite. What percentage of students in
survey picked rock music as their favorite type of music?
Answer
A. 0.09%
B.996
С.90%
D.1896

Answers

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Please help i will give points and brain
Which figure has no line of symmetry?
A. Figure A
B. Figure B
C. Figure C
D. Figure D

Answers

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Construct a probability distribution for the data.
7. The probabilities that a patient will have blood drawn 0,1,2, or 3 times in a visit are 6/15, 5/15, 3/15, and 1/15, respectively.

Answers

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

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