Answer:
Difference quotient: [tex]\frac{f(x+h)-f(x)}{h}[/tex] = 2
Step-by-step explanation:
The difference quotient is the word that we use when trying to calculate the average rate of change of the function over a specific interval, which in this case, is h.
The formula for calculating the difference quotient is:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]In order to determine the difference quotient of the function [tex]f(x)=2x-5[/tex] we need to first evaluate [tex]f(x+h)[/tex] of this function.
We can do so by substituting x + h for x into the function.
[tex]f(x+h)=2(x+h)-5[/tex]Distribute 2 inside the parentheses.
[tex]f(x+h)=2x+2h-5[/tex]Now that we have found f(x + h), we can use the formula for the difference quotient and substitute f(x + h) and f(x) into it:
[tex]\frac{(2x+2h-5)-(2x-5)}{h}[/tex]Distribute the negative sign inside the parentheses.
[tex]\frac{2x+2h-5-2x+5}{h}[/tex]Combine like terms in the numerator. The 2x and 5's cancel out. We are left with:
[tex]\frac{2h}{h}[/tex]The h's cancel out, and this simplifies to:
[tex]2[/tex]The difference quotient of f(x) is 2.
In a basketball game, Carolyn made 14 out of 20 shots. Anna made 16 out of 24 shots. Explain how you can tell if the two players made a proportional number of shots.
Answer:
You will want to set up the ratio for each and set them equal to each other. Then you can cross multiply to verify if you get the same answer. Another strategy is to set up each ratio and then reduce to lowest terms to see if you get the same fraction.
Brainlist please?
what is 1 1/2 × 3 2/3
Answer:
5 1/2 OR 5.5
Step-by-step explanation:
1 1/2 x 3 2/3
= 3/2 x 11/3
= 3 x 11/ 2 x 3
= 33/6
= 33 divided by 3/ 6 divided by 3
= 11/2 = 5 1/2
Answer: 5 1/2
Step-by-step explanation:
1 1/2 = 3/2 and 3 2/3 = 11/3
3 x 11 = 33
2 x 3 = 6
33/6 = 5 1/2
X-yz for x=-2 y=5 solve for z
Answer:
-5z - 2
Step-by-step explanation:
x - yz when x = -2 and y = 5
-2 - 5z
Since we don't have any like terms and an equal sign, we can't simplify any further.
Best of Luck!
an eight-sided die is rolled twice. what is the possible number of outcomes?
a. 8
b. 64
c. 32
d. 16
Answer:
a because i have depression
Step-by-step explanation:
The number of possible outcomes will be 64. The correct option is B.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of samples
Given that there is an eight-sided die that is rolled twice. The possible number of outcomes will be given as,
Number of outcomes = 8 x 8
Number of outcomes = 64
Therefore, the number of possible outcomes will be 64. The correct option is B.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
It has been reported that 5% of all undergraduate students in the U.S. who take an introductory statistics course will continue their education in statistics. A researcher believes that this value is too low for the recent undergraduate students who have taken an introductory statistics course at his university, California University. A listing of all undergraduate students at California University who did take an introductory statistics course sometime over the past 4 years was generated and a random sample of 400 students from this list was selected. Of the 400 undergraduate students, 80 (or 20%) did continue their education in statistics.
1. In this study, the population of interest is:_______
a. All undergraduate students in the U.S. who took an introductory statistics course.
b. All recent undergraduate students who took an introductory statistics course at California University over the past 4 years.
c. The 400 undergraduate students at California University who took an introductory statiistics course over the past 4 years.
d. The 80 undergraduate students at California University who took an introductory statiistics course over the past 4 years and who did continue their education in statistics.
2. In this study, the 5% value could be considered a:______
a. a statistic, because it is a numerical summary for a sample.
b. a statistic, because it is a numerical summary for a population.
c. a parameter, because it is a numerical summary for a sample.
d. a parameter, because it is a numerical summary for a population.
3. In this study, the 20% value can be considered a:________
a. a statistic, because it is a numerical summary for a sample.
b. a statistic, because it is a numerical summary for a population.
c. a parameter, because it is a numerical summary for a sample.
d. a parameter, because it is a numerical summary for a population.
Answer:
(1) All undergraduate students in the U.S. who took an introductory statistics course.
(2) a parameter, because it is a numerical summary for a population.
(3) a statistic, because it is a numerical summary for a sample.
Step-by-step explanation:
We are given that it has been reported that 5% of all undergraduate students in the U.S. who take an introductory statistics course will continue their education in statistics.
A random sample of 400 students from this list was selected. Of the 400 undergraduate students, 80 (or 20%) did continue their education in statistics.
(1) In this study, the population of interest is;
All undergraduate students in the U.S. who took an introductory statistics course because the researcher believes that the value which has been reported is too low for the recent undergraduate students who have taken an introductory statistics course at his university.
(2) In this study, the 5% value could be considered a parameter, because it is a numerical summary for a population which states that this value represents all undergraduate students in the U.S. who take an introductory statistics course will continue their education in statistics.
(3) In this study, the 20% value can be considered a statistic, because it is a numerical summary for a sample which represents the % of students who did continue their education in statistics out of the 400 selected undergraduate students.
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answer:
20 hours Have a nice day
What is the solution to the inequality below?
v>6
A. x > 36
B. x > 12
C. No solutions
D. 0 < x < 36
Answer:
A
Step-by-step explanation:
I did this one before and I still remember this problem
The ratio of used books and new books in a bookstore is 9:2
can you please ask your question clearly??
The sum of three numbers is 123. The third number is 4 times the first. The second number is 9 more than the first. What are the numbers?
First number:
Second number:
Third number:
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = x + 9
Let the third number = 4x
Together they make 123
x + x + 9 + 4x = 123 combine the left
6x + 9 = 123 Subtract 9 from both sides
6x = 123 - 9
6x = 114 Divide by 6
x = 114/6
x = 19
=================
First number = 19
Second number = 19 + 9 = 28
Third number = 4*19 = 76
Please help me please
Answer:
So first let's start with Antonio's pizza, we have to pay $17.75 plus $1 per toppings.
Then, we have Papa's pizza, we have to pay $15, plus $2.25 per topping.
How will we find the number of toppings for the same price?
Well, at papa's pizza one topping already $17.25 dollars already. So, lets keep adding. Well, if we get 4 toppings at Antonio's pizza we have to pay $21.75. And if we 3 toppings at Papa's pizza we have to pay $21.75 as well.
So, at Antonio's pizza we have to get 4 toppings and at Papa's pizza we have to get 3 toppings, to be able to pay the same price at both places
SIMPLE EQUATION:
Papa's Pizza: $15 + $6.75 (3 toppings total) = $21.75
Antonio's Pizza: $17.75 + $4 (4 toppings total) = $21.75
-3/4(16m+4) in distributive property
Step-by-step explanation:
[tex] - \frac{3}{4} (16 \:m + 4) = \\ - \frac{3 \times 16m}{4} + \frac{ - 3 \times 4}{4} = \\ - 3 \times 4m - 3 = - 12m - 3 = - 3(4m + 1) [/tex]
if one of the angle of a triangle is right angle it is called
Step-by-step explanation:
right angled triangle......
One line passes through points (2, 11) and (−1, 2);
another line passes through points (0, −4) and (−2, −10).
Answer:
attracted more to oxygen's nucleus. This makes the hydrogen ends of the
Step-by-step explanation:
Answer:
its parallel
Step-by-step explanation:
sorry the other person did not help you. but i do rsm and i got this question right.
Points Q, R, S, and T are shown on the number line. What is the distance between point Q and point S on the number line
A)
2 units
B)
4 units
Eliminate
6 units
D)
7 units
Answer:
Step-by-step explanation:
The Answer is 9 units away, just start at the Q and count up intill you get to the T on the number line shown.
Hoped this helped!! :D
Which choice has an estimated product of 24,000?
203 x 12
301 x 77
108 x 2
405 x 45
Solve for all values of x by factoring
x^2-7=-3
Answer:
x=2
Step-by-step explanation:
The first step is to add 7 to both sides leaving you with
x^2=4
then root both sides the square root of 4 is 2 so
x=2
Identify which of the sequences below is a geometric sequence.
A 1.3.5, 7.-9....
B 2, 4, -6, 8, 10,
C. 2, 5, 7, 10, 12,
D. 3, 6, 12, 24, 48,
===============================================
Explanation:
Sequence A is not geometric. Dividing each term by its previous term does not lead to the same common ratio. For instance, 3/1 = 3 and 5/3 = 1.67
Sequence B is a similar story. We have 4/2 = 2 and -6/4 = -1.5
Sequence C is similar as well. This time 5/2 = 2.5 and 7/5 = 1.4
--------
Sequence D is geometric because dividing each term over its previous term leads to the same common ratio
6/3 = 2
12/6 = 2
24/12 = 2
48/12 = 2
The common ratio is r = 2.
Put another way, each term is multiplied by 2 to get the next term
3*2 = 6
6*2 = 12
12*2 = 24
24*2 = 48
8th grade
Math pls help
Answer:
y=2/3x+600
Step-by-step explanation:
as x goes up by 3, y goes up by 2. So this means the slope is 2/3. also, you add 600 which is the y intercept
complete the ratio__:3=7:15
Answer:
its 1.4:3=7:15
Step-by-step explanation:
you divide 7 by five
.07231 x 3.20 I need help quick
Answer: 0.231392
Step-by-step explanation:
Answer: .231392
you can use a calculator right?
Two hikers stopped for a snack.They shared 2/3 of a pound of trail mix.If the hikers shared the trail mix equally how much trail mix did each hiker get?
Answer: 1/3 pounds
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
ANSWER ASAP*******In how many ways can the letters of the word 'BLUEBERRIES' be arranged?
a. 1663200
b. 7920
c. 330
d. 100800
e. 25200
5) Which choice shows the numbers correctly ordered? A) VA * 4.15 < V21 B) 1
Answer:
I believe the correct answer is C
Step-by-step explanation:
if you convert 1/5 into a decimal it would be 0.2
if you convert 1/21 to a decimal it would be 0.4 then you make it a square root it would be 0.6
4.15 is already a decimal so you don't have to do anything to it.
if you turn 21 into a square root the would be 4.5
so if you line all the numbers up from smalllest to lagerst it would look like this
1/5,1/21,21,4.15
so c is the corrcet answer
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?
20
22
25
27
Answer:
I'd say 20
Step-by-step explanation:
Answer:
I’d say 20 or 25
Step-by-step explanation:
• Calculate the unit rate using the following information, a car was
driven 250 miles in 2/5 of an hour. What is the rate in miles per hour?
Answer: 100 miles per hour
Step-by-step explanation: Showing Work
This is a fraction equal to
250 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
250 miles ÷ 2.5
2.5 hours ÷ 2.5
=
100 miles
1 hour
=
100 miles
hour
= 100 miles per hour
The Sydney Morning Herald - February 8, 2004 reported that in 1961, the average number of children born to Australian women (3.55) was at its highest level since reliable records began in the 1920s. With only the fact of the mean being 3.55 children, can one make the claim that women were statistically more likely to have four children than any other number of children?
a. Agree, 4 children is the most typical number of children.
b. Agree, 3.55 is closer to 4 than any other whole number.
c. Disagree, the most typical number of children is 3.
d. Disagree, it is impossible to tell
Answer:
A. Agree, 4 children is the most typical number of children.Step-by-step explanation:
By analysis the problem, we can make our decision by first determining the percent of 3.55 of 4
therefore the percentage can be computed as
=(3.55/4)*100
=0.8875*100
=88.75%
The analysis above it shows that 88.75 percent of the women who give birth to children give birth to 4 children.
This number is very close to a hundred percent hence the statistical claim is "Agree, 4 children is the most typical number of children."
How much money must you invest now at 4.4% interest compounded continuously in order to have $10,000 at the end of 6 years?
The money must you invest now at 4.4% interest compounded continuously in order to have $10,000 at the end of 6 years is 7,727.97 .
What is the Compound interest ?Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal.
Formula of Compound interest:
Amount = [tex]Principal (1+ \frac{rate}{100} )^{t}[/tex]
where,
t as time in years
According to the question
Rate of interest = 4.4% compounded continuously
Time in years = 6
Amount = $10,000
Now,
By using Formula of Compound interest:
Amount = [tex]Principal (1+ \frac{rate}{100} )^{t}[/tex]
substituting the value in formula
10,000 = [tex]Principal (1+ \frac{4.4}{100} )^{6}[/tex]
10,000 = 1.294 * Principal
Principal = 7,727.97
Hence, The money must you invest now at 4.4% interest compounded continuously in order to have $10,000 at the end of 6 years is 7,727.97 .
To know more about Compound interest here:
https://brainly.com/question/14295570
#SPJ3
You are attempting to estimate the number of protester marching through the city
street. You station yourself at the beginning of the protest march. You count 177
protesters within the first 2.1 minutes. Finally, after 12 minutes all of the protesters have
passed you by. What would be a good estimate for the number of protesters given this
information?
9514 1404 393
Answer:
1000
Step-by-step explanation:
If the number of protesters per minute remains a constant, then you could write the proportion ...
p/12 = 177/2.1
Multiplying by 12 gives ...
p = 12(177/2.1) ≈ 1011.4
Here, minutes are given to 2 significant figures, and the initial count is given to 3 significant figures. The best you can hope for is that your estimate is good to 3 significant figures:
1010 protesters
It is probably sufficient to report the number to 2 significant figures*:
1000 protesters
_____
* Unfortunately, with a number like 1000, the only way you can tell it has 2 significant figures is to report it as 1.0×10³ or 10. hundreds. The trailing zeros are usually not considered significant.
a/b=a solve for b
thank yu luv x
Answer: b= a/b
Step-by-step explanation:
Answer:
It's a=b/a meaning b=1
Step-by-step explanation:
a cancels itself out, leaving b, that = 1
find the domain for f(x)=x+1/x-2
Answer:
the domain is: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }
Step-by-step explanation:
