Answers
Answer:
Average rate of change is - 1/6 or -0.166…
Step-by-step explanation:
[tex]{ \tt{f(x) = \frac{1}{x - 5} }}[/tex]
f(-1):
[tex]{ \tt{f( - 1) = \frac{1}{( - 1 - 5)} }} \\ = { \tt{ - \frac{1}{6} }}[/tex]
f(3):
[tex]{ \tt{f(3) = \frac{1}{3 - 5} }} \\ = { \tt{ - \frac{1}{2} }}[/tex]
Average rate of change:
[tex] = { \bf{ \frac{f(3) - f(-1)}{2} }}[/tex]
[tex]{ \tt{ = \frac{ - \frac{1}{2} - ( - \frac{1}{6} ) }{ 2 } }} \\ \\ = { \tt{ - \frac{1}{6} }}[/tex]
Answer:
- [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 3 ] , then
f(3) = [tex]\frac{1}{3-5}[/tex] = - [tex]\frac{1}{2}[/tex]
f(- 1) = [tex]\frac{1}{-1-5}[/tex] = - [tex]\frac{1}{6}[/tex]
average rate of change
= [tex]\frac{-\frac{1}{2}-(-\frac{1}{6}) }{3-(-1)}[/tex]
= [tex]\frac{-\frac{1}{2}+\frac{1}{6} }{3+1}[/tex]
= [tex]\frac{-\frac{1}{3} }{4}[/tex]
= - [tex]\frac{1}{12}[/tex]
Related Questions
I need help! I will give brainliest, if correct!
For a certain value of $k$, the system
x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?
Answers
kx + z = 3 means z = 3 - kx. Substitute this into the first two equations:
x + y + 3 (3 - kx) = 10 ==> (1 - 3k) x + y = 1
-4x + 3y + 5 (3 - kx) = 7 ==> (-4 - 5k) x + 3y = -8
Multiply through the first equation by -3 :
-3 ((1 - 3k) x + y) = -3 (1) ==> (-3 + 9k) x - 3y = -3
Add this to the second equation to eliminate y :
((-3 + 9k) x - 3y) + ((-4 - 5k) x + 3y) = -3 + (-8)
(-7 + 4k) x = -11
Normally, you would solve for x by dividing both sides by -7 + 4k. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4k = 0 ==> k = 7/4
Answer:
k = 7/4
Step-by-step explanation:
Help me please and thank you
Answers
Answer:
Option C is correct
Step-by-step explanation:
[tex]log( {10}^{3} )[/tex]
Use logarithm rules to move 3 out of the exponent.[tex]3 \: log \: (10)[/tex]
Logarithm base 10 of 10 is 1.[tex]3×1[/tex]
Multiply 3 by 1.[tex]3[/tex]
Hope it is helpful....The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is:
A. 3
B. 0
C. not enough information
D. infinitely many
Answers
Answer:
D. infinitely many
Step-by-step explanation:
Perpendicular lines can be drawn everywhere on the lone in infinitely different places, making the answer infinite.
The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is infinite many.
The correct answer is an option (D)
What is perpendicular to line?"It is a straight line that makes an angle of 90° with another line. "For given question,
Lines are perpendicular to each other if their intersection with one another forms a right angle. Through any given line, there are an infinite number of perpendicular lines.Through a specific point on a line, there exists only one perpendicular line. Similarly, for a line and a point not on that line, there is only one perpendicular line through the point.We can draw infinite perpendicular lines to a
Therefore, the number of lines that can be drawn perpendicular to a given line at a given point on that line in space is infinite many.
The correct answer is an option (D)
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Graph the function f(x) = 1/2(2)^x
Answers
Answer; Down
Step-by-step explanation:The graph of the squaring function has the shape of a parabola that opens up. Its vertex is at (0,0). The graph of F(x) = (1/2)x^2 has the same shape, but is compressed vertically by a factor of (1/2).
Biểu diễn 1 ràng buộc trên mặt phẳng tọa độ Oxy là
Answers
Step-by-step explanation:
yah kaun se language mein likha hai aapane
what is the HCF of 216
Answers
Answer:
The answer for this question is 1
f(x) = (2x – 1)(3x + 5)(x + 1) has zeros at I = -
1
cole
2= -1, and x =
What is the sign of f on the interval
5
<<
3
เล
?
Choose 1 answer:
А
f is always positive on the interval.
B
f is always negative on the interval.
f is sometimes positive and sometimes negative on the interval.
Answers
Interval of function f(x) is sometimes negative and sometimes positive.
What is interval of function?The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.
Given function,
f(x) = (2x – 1)(3x + 5)(x + 1),
Zeros of function,
x = 1/2 = 0.5
x = -5/3 = - 1.6667
x = -1
From the graph
Interval of function is negative between -∞ < x < -1.6667
Interval of graph is positive between -5/3 < x < -1
Interval of function is negative between -1 < x < 0.5
Interval of graph is positive 0.5 < x < ∞
Hence, f(x) has sometimes positive interval and sometimes negative interval.
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A perfect correlation is denoted by:
A. +1.0 and -1.0
B. +1.00
C. -1.00
D. .50
Answers
A perfect correlation is denoted by:
A. +1.0 and -1.0
I need help with ged
Answers
Answer:
General Educational Development (GED) tests
What do subject do you need help?
Step-by-step explanation:
The GED® exam is made up of 4 subjects, broken into separate exams: Mathematical Reasoning, Reasoning Through Language Arts, Social Studies, and Science.
0.6 reoccurring decimal as a fraction in the simplest term
Answers
Answer:
3/5
Step-by-step explanation:
here,
0.6
in fraction = 6/10
in simplest form 6/ 10 both term can be divided by 2 so,
6/10 ÷2
= 3/5
What is the mean of 86, 80, and 95
Answers
87 is the mean.
To find the mean, you must
- add all of the numbers
- divide by the amount of numbers given
In this case, you would want to do (86 + 80 + 95)/3. This would give you an answer of 87.
Mean is the same thing as average so you just all the given numbers and divide by the number of terms given (in this case 3 were given)
A rectangle is 19 inches long and 6 inches wide find it’s area
Answers
Step-by-step explanation:
how to find the area
multiply the length times the width
19 × 6 = 114 inches squared
The area of the rectangle is 114 square inches if the length and breadth of the rectangle are 19 inches and 6 inches.
A rectangle is one of the elementary geometric figures. It is a quadrilateral with a pair of equal and parallel sides. All angles of a rectangle are right angles.
The length of the rectangle is given as 19 inches.
The breadth of the rectangle is given as 6 inches.
The area of the given rectangle is given as:
Area = length × breadth
Area = 19 × 6
Area = 114 square inches
Thus, the area of the given rectangle is 114 square inches.
Learn more about Rectangles here:
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The diameters of ball bearings are distributed normally. The mean diameter is 7373 millimeters and the variance is 44. Find the probability that the diameter of a selected bearing is less than 7676 millimeters. Round your answer to four decimal places.
Answers
Answer:
0.9332
Step-by-step explanation:
We are given that
Mean diameter, [tex]\mu=73[/tex]
Variance, [tex]\sigma^2=4[/tex]
We have to find the probability that the diameter of a selected bearing is less than 76.
Standard deviation, [tex]\sigma=\sqrt{variance}=\sqrt{4}=2[/tex]
[tex]P(x<76)=P(\frac{x-\mu}{\sigma}<\frac{76-73}{2})[/tex]
[tex]P(x<76)=P(Z<\frac{3}{2})[/tex]
Where [tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]P(x<76)=P(Z<1.5)[/tex]
[tex]P(x<76)=0.9332[/tex]
Hence, the probability that the diameter of a selected bearing is less than 76=0.9332
Transposition
make (m) the subject.
E = mc²
Answers
Answer:
m = [tex]\frac{E}{c^2}[/tex]
Step-by-step explanation:
Given
E = mc² ( isolate m by dividing both sides by c² )
[tex]\frac{E}{c^2}[/tex] = m
Answer:
m=E over c2
Step-by-step explanation:
u divide both sides by c2.then on the right side the c2 cancel each other .
then u will m=E over c2
How many composite number between 1 and 50
Answers
Step-by-step explanation:
There are 34 composite numbers between 1 to 50 which are as follows: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50.
Your car can go 2/7 of the way on 3/8 of a tank of gas how far can you go on the remaining gas?
A proportion that can be used is a/b=c/d
Answers
Answer:
10/21 of the distance
Step-by-step explanation:
2/7 distance
------------------
3/8 tank
The rest of the tank is 8/8 - 3/8 = 5/8
2/7 distance x
------------------ = ----------------------
3/8 tank 5/8 tank
Using cross products
2/7 * 5/8 = 3/8x
10/56 = 3/8x
Multiply each side by 8/3
10/56 * 8/3 = 3/8x * 8/3
10/3 * 8/56=x
10/3 * 1/7 =x
10/21 =x
10/21 of the distance
Solve for x in the diagram
Answers
Answer:
x = 20°
Step-by-step explanation:
x + 2x + (x+10) =90° {being a right angle triangle}
3x + x + 10 = 90°
or, 4x = 90° - 10°
or, 4x = 80°
or, x = 80°/4
so, x = 20°
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Chapter 11 part 2:
What are three different properties of logarithmic functions when encountering the operations of addition, subtraction, and multiplication? Provide an example of each.
Answers
The three main log rules you'll encounter are
log(A*B) = log(A) + log(B)log(A/B) = log(A) - log(B)log(A^B) = B*log(A)The first rule allows us to go from a log of some product, to a sum of two logs. In short, we go from product to sum. The second rule allows us to go from a quotient to a difference. Lastly, the third rule allows to go from an exponential to a product.
Here are examples of each rule being used (in the exact order they were given earlier).
log(2*3) = log(2) + log(3)log(5/8) = log(5) - log(8)log(7^4) = 4*log(7)----------------
Here's a slightly more complicated example where the log rules are used.
log(x^2y/z)
log(x^2y) - log(z)
log(x^2) + log(y) - log(z)
2*log(x) + log(y) - log(z)
Hopefully you can see which rules are being used for any given step. If not, then let me know and I'll go into more detail.
If a state issued license plates using the scheme of 3 letters followed by 3 digits, how many plates could it issue?
Answers
Answer:
17,576,000
Step-by-step explanation:
there are 26 english letters (A-Z) and 10 digits(0-9).
there are 3 spaces for letters. therefore Any of the 26 letters can be combined with any 26 other letters and any of those can be combined with any of another 26 letters.
26*26*26= 17576
similarly 10 digits can combined in 1000 ways
10*10*10=1000
17576 letter combination can combine with 1000 digits combination.
so 17,576 x 1000 = 17,576,000 different plates could issue.
If 6x + 5y = 10, what is y in terms of x?
Please include an explanation!
Answers
what you're trying to do is form an equation for y
6x + 5y = 10
5y = -6x + 10 we need y to be singular so divide by numeral before y
y = - 6x/5 + 10/5
y = - 6x/5 + 2
I’m new to this app and I need help with those two questions please help!!
Answers
y=x²-10x-7
a>0 so we will be looking for minimum
x=-b/2a=10/2=5
y=25-50-7=-32
Answer: (5;32)
y=-4x²-8x+1
а<0 so we will be looking for maximum
х=-b/2a=8/-8=-1
у=4+8+1=13
Maximum point (-1;13)
Can someone help me with this plz
Answers
Answer:
170.7
Step-by-step explanation:
We are aware that the base is a square, with side lengths 8cm, and we are given that the height is 8 cm. Since the volume of a square based pyramid is 1/3 x base area x height, we receive 1.3 x 64 x 8 which is 512/3 which is in turn 170.666 recurring. However, since this question asks you to round the the nearest tenth, you get 170.7
171
Step by step explanation:
Volume = lwh/3
= 8 x 8 x 8
≈171 km^3
The Online Exam from Applied Statistics consists of 6 questions. Statistics show that there is a 75% chance that the student will answer to any one of Exam problems correctly. If the number of attempts for each question is unlimited, find the following probabilities
a. The student will correctly answer the first question after the 4th attempt.
b. The student will correctly answer three questions after 10 total attempts.
c. What is the average number and SD of attempts up to when the student answers all the questions correctly?
Answers
Solution :
a). The probability that the student will [tex]\text{correctly answer}[/tex] the 1st question after the 4th attempt.
P (correct in the 4th attempt)
= [tex]$(1-0.75)^3 \times 0.75$[/tex]
= 0.01171875
b). The probability that the student will [tex]\text{correctly answer}[/tex] 3 questions after 10 total attempts.
P( X = 3) for X = B in (n = 10, p = 0.75)
= [tex]$C(10,30) \times 0.75^3 \times 0.25^7$[/tex]
= 0.0031
c). The mean and the standard deviation for the number of attempts up to when the students gets all the questions correct is :
There are = 6 success, p = 0.75.
Therefore, this is a case of a negative binomial distribution.
[tex]$E(X)=\frac{k}{p}$[/tex]
[tex]$=\frac{6}{0.75}$[/tex]
= 8
So, [tex]$\sigma = \frac{\sqrt{k(1-p)}}{p}$[/tex]
[tex]$\sigma = \frac{\sqrt{6(1-0.75)}}{0.75}$[/tex]
= 1.6330
if a point is chosen inside the large circle what is the probability that it will also be inside the small circle?
Answers
Answer:
1/4
Step-by-step explanation:
The probability will be equal to 1 - (probability that it will not be inside the small circle) = 1 - (pi*4-pi)/(pi*4)=1/4
What is the perimeter of the octagon below!!
Answers
Answer:
C) sixty five units
Step-by-step explanation:
have a great day
A cylinder Container must
hold al or 2,000 cm3 of
liquid, which of the following
is the optimazation equation
in terms of the radius r.
if the anaunt of material
used to make the container
is to be minimized?
Answers
−12x+y=10 in slope-intercept form
Answers
Answer:
y=12x+10
Step-by-step explanation:
Slope-intercept form is y=mx+b
1. Add -12x to both sides of the equation
A grocery store buys cereal using the cost function
c(n) = { 2n when n < 100 1.9n when 100
Sn = 500 1.8n when n > 500 where n is
the number of boxes of cereal the grocery store
buys and c(n) is the cost of the cereal. The grocery
store then sells the cereal using the sales function
s(c) = 1.3c. What is the cost of the cereal if the
grocery store buys 250 boxes?
Answers
The cost of the cereal if the grocery store buys 250 boxes is $475
We know that:
The cost function is:
c(n) = 2*n if n < 100
c(n) = 1.9*n if 100 ≤ n ≤ 500
c(n) = 1.8*n if n > 500.
(we can assume that the cost function is in dollars)
This is a piecewise function, this means that we need to see in which interval we have the number n, and then select the correct function to use.
Now, we want to find the cost of the cereal if the store buys 250 boxes.
Then we have n = 250.
We can see that n = 250 is in the second interval, 100 ≤ n ≤ 500, then we will use the second function to find the cost.
We will get:
c(250) = 1.9*(250) = $475
We can conclude that the cost if the store buys 250 boxes is 475
If you want to learn more, you can read:
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In this problem, assume that the probability that a person is born on a given day is 1/365. (For simplicity, ignore Feb 29.) In a group of 100, what is the expected number of pairs of people who have the same birthday
Answers
Answer:
the expected number of pairs of people who have the same birthday is 14
Step-by-step explanation:
The computation of the expected number of pairs of people who have the same birthday is as follows:
= 100 (100 - 1) ÷ 2 × 365
= 100 × 99 ÷ 730
= 9900 ÷ 730
= 13.5616
= 14
Therefore, the expected number of pairs of people who have the same birthday is 14
Please due in 1 hour
Answers
I hope that helped you
9514 1404 393
Answer:
d + q = 440.10d +0.25q = 8.30Step-by-step explanation:
The first equation describes the total number of coins. It says the sum of the numbers of dimes and quarters is 44, the total number of coins.
__
The second equation describes the total value of the coins. It will say that 0.10 times the number of dimes plus 0.25 times the number of quarters is 8.30, the total dollar value of the coins.
The two equations are ...
d + q = 44
0.10d +0.25q = 8.30
__
Additional comment
The solution can be found by substituting for d:
0.10(44 -q) +0.25q = 8.30
0.15q = 3.90
q = 26
d = 44 -26 = 18
Vinnie has 18 dimes and 26 quarters in his bag.
