Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The difference of the range and the interquartile range of the data set represented by the box plot is
.
Answer:
the answer is 10
Step-by-step explanation:
The difference between the range and the IQR of the data set represented by the box plot is 10.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.
In this case, the range is:
Range = highest value - lowest value = 34 - 16 = 18
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:
IQR = Q3 - Q1 = 29 - 21 = 8
So the difference between the range and the IQR is:
Range - IQR = 18 - 8 = 10
Therefore,
The difference between the range and the IQR of the data set represented by the box plot is 10.
Learn more about the interquartile range here:
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What is 12/7 as an mixed number ??
Answer:
1 5/7
Step-by-step explanation:
[tex]1 \frac{5}{7} [/tex]
is the answer if you meant to say mixed fraction
what is the name of this triangle
Answer:
right triangle
Step-by-step explanation:has a right angle
Who is the founder of macdonald
Answer:
Richard Mcdonald and Maurice Mcdonald
Step-by-step explanation
those are the people that found Mcdonalds
The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value.
The functions are given below.
Parabolic function y = -(x + 1)² + 9Mode function y = - |x + 2| + 10Logarithmic function y = 1.5 log(x - 1)What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graphs of the three functions are shown below.
The parabolic function is given as
y = -(x + 1)² + 9
The mode function is given as
y = - |x + 2| + 10
And the logarithm function will be
y = 1.5 log(x - 1)
More about the function link is given below.
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Answer: A, B, D
Step-by-step explanation:
Just took the instruction. Edge 2023
The distance from one point on the circle to another that passes through the circle is called a:
Answer: i think diameter, because the line passes through the center of the circle.
Step-by-step explanation: have a great day!! :)
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a
sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.25
• B. 0.15
•
C. 0.33
•
D. 0.05
Answer: Hope This Helps!
Step-by-step explanation:
Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option A is the correct choice.
The probability that a student is a senior is equal to 0.20.
We have given that,
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student IS a senior and plays a sport is 0.05.
What is the probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25, and option A is the correct choice.
To learn more about the probability visit:
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What specific measure of a geometric figure is shown in the image?
O A 165 degree angle
O A 15 degree angle
O a 15 mm side length
a 180 mm side length
Answer:
15
Step-by-step explanation:
What is the area of a circle that has the diameter of 4?
Answer:
Hello! answer: 12.56
Step-by-step explanation:
Area for circles is found be doing
radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4
4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!
Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((
Answer:
5 millimeters
Step-by-step explanation:
the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil
it would be amazing if you marked this brainliest :)
3
Select the correct answer.
Which value is needed to determine a confidence interval for a sample mean?
O A.
the sample proportion
O B.
the standard error of the mean
O C.
the margin of error for the proportion
OD
the population size
Reset
Next
Answer:
A
Step-by-step explanation:
I think I am not sure I just started to do this in school...
Point P is located on the segment between point A (1,4) and point D (7,13). The distance from A to P is twice the distance from
Pto D. What are the coordinates of point P?
Answer: Point P is at (3, 7)
Step-by-step explanation: the distance from point a to point B is 10.8. 10.8 divided by 3 is 3.6, so you have to find a point that 3.6 from point a. Using a graph, I found the answer to be (3,7)
PLEASE HELP ME I NEED IT DONE TODAY HELP PLEASE I AM ABOUT TO CRY!!!! IF YOU UPLOAD A FILE I WILL REPORT
Answer:
im not downloading that put a screenshot and if i understand the question I will answer it to the fullest of my ablilty
The value of which of these expressions is closest to e ?
Answer: B.
Step-by-step explanation: took the quiz.
Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?
Answer:
I believe this could happen 27 different ways.
Step-by-step explanation:
The circumference of a circle is about 33.912 inches. The circle's radius is __ inches.
Use 3.14 for π.
Answer:
5.4
Step-by-step explanation:
Circumference = 2 x 3.14 x radius
To find this information, you must first divide:
33.912 ÷ 2 = 16.956
Then, divide:
16.956 ÷ 3.14 = 5.4
So then your answer is:
Radius = 5.4
Hope this helps you out! : )
3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes
Answer:
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
First coin Second coin outcome
H T HT
T H TH
T T TT
URGENT!!! PLEASE HELP
Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.
What combination of transformations is shown below?
Answer:
B. or the second one
Step-by-step explanation:
The rectangle is 9 feet long and 8 feet wide. What is the area of this rectangle? asap
Answer:
72 ft squared
Step-by-step explanation:
area = width times height
Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answer:
A: 7.5
Step-by-step explanation:
I put it in my calculator
ANSWER ASAP
The entrance to a museum is Paris is shaped like a square pyramid. The
area of the base of the pyramid is 1,227 square meters, and the height is
21 meters.
Which measurement is closest to the volume of the pyramid in cubic
meters?
Answer:
8589 cubic meters
multiply base times height then divide by 3
I need help quickly. What's the answer? Best answer gets Brainliest.
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Answer:
The Answer Is C
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Write an equation of the form y = mx for the line shown below.
Answer:
y = -3x
Step-by-step explanation:
To get slope intercept, you divide both y values by both x values like this
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case this will be [tex]\frac{(-3 - 6)}{(1 - (-2))}[/tex]
This will become [tex]\frac{-9}{3}[/tex]
Divide those two to get -3, and now you get your slope intercept.
Help pls number 2! SHOW WORK IF NEEDED ALSO WILL GUVE BRAINLIST!
Answer:
Statistical questions are asking for ABOUT how much not an exact amount or number.
The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?
Answer:
89.75
Step-by-step explanation:
Sorry if its wrong!
i) It takes the climber 800 seconds to climb to the top of the cliff.
During this time the energy transferred to the climber equals the work done by
the climber.
Calculate the power of the climber during the climb.
Power =
W
(Total 5 mar
Page 6 of 6
Answer:
gracias por lo 20 puntos
Step-by-step explanation:
What is the sum of degrees of each vertex for a tree with 6 vertices?
a) 5
b) 6
c) 8
d) 10
Answer:
C: Is the Answer
Step-by-step explanation:
Really hope it'll help!!
does anyone know the answer for this?
Answer:
8 cm
Step-by-step explanation:
The area of the shaded portion is:
[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]
A=39π cm^2
r1 is the radius of the large circle
r2=5 cm
So,
[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]
HELP! ILL GIVE BRANLIEST :(
Answer:
B
Step-by-step explanation:
since x is GREATER than -25, the shaded part has to be on the right of -25
Answer: B
Step-by-step explanation: