Given difference quotient is f(x) = -x²+2x+5.
Simplified version is (f(x + h) - f(x))/h = 1.
What is difference quotient?If f(x) = x - 5, then
f(h) = h - 5
f(x + h) = (x + h) - 5
(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h
(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h
(f(x + h) - f(x))/h = h/h
(f(x + h) - f(x))/h = 1
since h ≠ 0.
The average rate of change of the function over an interval is measured by the difference quotient (in this case, an interval of length h). The instantaneous rate of change is hence the limit of the difference quotient (i.e., the derivative).
The slope of secant lines can be calculated using the difference quotient. Almost identical to a tangent line, a secant line traverses at least two points on a function.
That equation is known as a difference quotient because both the numerator and denominator are differences.
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write a polynomial that represents the area of the square
Answer:
y = x² + 8x + 16
Step-by-step explanation:
blue square = x × x = x²
green rectangle = 4 × x = 4x
yellow square = 4 × 4 = 16
Let y = total area of the square
⇒ y = blue square + green rectangle + green rectangle + yellow square
= x² + 4x + 4x + 16
= x² + 8x + 16
Area:-
side²(x+4)²x²+8x+16units²what is 1*2
I give away points
1 times 2 is equal to 2.
What do you mean by multiplication?Multiplication is a mathematical operation that combines two numbers (known as "factors") to produce a third number (known as the "product"). It is represented using the symbol "x" or the asterisk (*).
For example, consider the multiplication of the numbers 2 and 3:
2 x 3 = 6
Here, 2 and 3 are the factors, and 6 is the product. Multiplication is a type of arithmetic operation that can be used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
In summary, multiplication is a mathematical operation that combines two numbers to produce a third number, and it is represented using the symbol "x" or the asterisk (*). It is an important operation in mathematics, used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
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what is 1/5 x 5 1/3? help please
Answer:
1 1/15
Step-by-step explanation:
(I think)
And I am not a very good explainer
(sorry)
Which choice is equivalent to the quotient below?
√32
OA.
√2
B. 4
C. 2
D. 24
SUBM
Answer:
C (2)
Step-by-step explanation:
• √32 = 4√2 ( bc √32 = √16×2 = √16×√2 = 4×√2 )
• √8 = 2√2 ( bc √8 = √4×2 = √4×√2 = 2×√2 )
So √32 ÷ √8 is equal to 4√2 ÷ 2√2
And there √2 cancels for both
So what you're left with is 4 ÷ 2
And 4÷2 = 2
How is 75% of 60 minutes 45?
Answer:
It just is see explanation
Step-by-step explanation:
75% is equal to 0.75, or 3/4. If you multiply the full 60 minutes to 3/4, then your product is 45 minutes. That's how 75% of 60 minutes is 45 minutes.
Answer: 75% of a number is the same thing as 3/4 of the number.
so for example, divide 100 by 4. you get 25 right?
right, so multiply 25 by 3 and you get 75. That's what 3/4 of something is.
now divide 60 by 4. you get 15 right?
right, so multiply 15 by 3, and you get 45 :)))
that's why 75% of 60 is 45.
i hope this helps!!
BTW when you get a question with percentages, you can flip them! In this case it doesn't really help to do so, but for example if you had a question asking:
what is 16% of 50?
FLIP IT. it's the same thing as 50% of 16!!! This works with like any percentage!!!
What is the area of a parallelogram that has the length of 3.5cm and the height of 2.3cm?
Standard form of a line that has a slope of -1 and passes through (-5,-1)
Step-by-step explanation:
y + 1 = -(x+5)
y + 1 = -x - 5
y = -x - 6
x + y = -6
For f (x) = 3x +1 and g(x) = x2-6, find (g/f) (x)
Answer:
Option D is the right answer. Because if x becomes 1/3, then denominator will become zero and answer will be undefined. Therefore x cannot be 1/3.
if triangle kpl = acm congruent triangles
There are 12 girls and 18 boys in a class. Teacher wants to form groups with the same
number of girls and boys in each group. What is the greatest number of groups can be
formed. How many girls and how many boys will be in each group?
Answer:
6 groups
2 girls, 3 boys
Step-by-step explanation:
To find the answer, first find the Greatest Common Factor or the GCF. The GCF in this case is 6. So, the amount of groups is 6. Then divide each number by 6, so there will be 2 girls in each group and 3 boys in each group.
triangle pqr is dilated by a scale factor of 2. the center of the dilation is (0,0). how does the image of triangle pqr relate to triangle pqr?
Answer:
The image is larger..........
Please help, I will give brain list.
Answer:
12.25
Step-by-step explanation:
3.5*3.5=12.25
Answer:
12.25m^2
Step-by-step explanation:
3 1/2 × 3 1/2
3 1/2 is equivalent to 7/2
7/2 × 7/2= 49/4
this simplifies to 12.25
answer: 12.25 m^2
A circle with radius of 6 cm sits inside a circle with a radius of 9 cm what is the area of the shaded region round your answer to the nearest hundreth HELPPPP PLS!!!
The area of the shaded region is 28. 260cm²
How to determine the radiusIt is important to note that the formula for determining the area of a circle is expressed as;
A= πr²
Where;
A is the area of the given circleπ takes the value 3. 14 in decimal form and 22/ 7 in fractional formr represents the radius of the given circleFrom the information given, we have that;
Radius = radius of the shaded part - radius of the inscribed circle
Substitute the values, we have;
Radius = 9 -6
Subtract the values
Radius = 3cm
substitute the values into the formula for area, we have;
Area = 3. 14 ( 3)²
Find the square
Area = 3. 14(9)
Multiply the values through, we have
Area = 28. 26 cm²
Hence, the value is 28. 26 cm²
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Find f(-2) and find one value of x for which f(x)=-1
Solution
Step 1
f(-2) is the value of f(x) at which x = -2
Next
Trace x =-2 from the graph and get f(-2)
etermine the equation for the sine curve that models the D# wave if the
wavelength of D# = 1.106 meters.
a.
y = sine (6.03 x)
b.
y = sine (1.106 x)
c.
y = sine (5.68 x)
d.
y = sine (7.59 x)
Please select the best answer from the choices provided
Step-by-step explanation:
please do a brainliest to me
What are the letters in the English alphabet that has reflection symmetry and what has rotation symmetry and which has reflection and rotation symmetry
what is the place value of 8 in fullowing number? 348000
Answer: 8000
Step-by-step explanation:
The 8 in the number 348,000 is in the thousands place.
So it represents the value of 8,000 .
Which of the following best defines an output? (4 points)
a
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
b
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
c
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
d
An output is a set of ordered pairs in which no y-value repeats.
Answer:
B is the best definition of outputStep-by-step explanation:
a . An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
Incorrect. Output is defined by input.b . An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
Correctc . An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
Incorrect. Output is the result of relation but not pairing rule.d . An output is a set of ordered pairs in which no y-value repeats.
Incorrect. y-values can repeat.The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Please help answer my question
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
Which of these is an example of a continuous random variable?
A. Number of flights leaving an airport
B. Pieces of mail in your mailbox
C. Attendance at a sporting event
D. Time to run a race
Answer:
continues means that can be written in decimal like weight,height, distance(5.44km)
I think its D. is time decimal? Gods plan.
SOMEONE PLZ HELP I AM IN NEED
Answer:
x + 278 = 450; x = 172
Step-by-step explanation:
Answer:
B-172
Step-by-step explanation:
All I did was add the 2 given sides then subtract that from the perimeter. Then, I got 172 and you don't even have to worry about the equation in the answer choices because it's just there to throw you off once you have the answer your good.
HOPE THIS HELPS!
A basket of goods and services is used to calculate CPI. Assume that the basket contains 5 toothbrushes and 2 tubes of toothpaste. The prices for those goods are shown in the table.
Year Toothbrush Tube of Toothpaste
year 1 $1.00 each $2.00 each
year 2 $1.25 each $2.10 each
What will the CPI for year 2 be?
A.
9.00
B.
10.45
C.
86.00
D.
116.11
The Consumer Price Index for the year 2 be 116.11.
How do we calculate Consumer Price Index?This is calculated by adding together a sampling of product prices from a previous year.
We then add together the current prices of the same products and divide the total of current prices by the old prices, then multiply the result by 100.
Given data
Year 1 = $9
Year 2 = $10.45
Year 2 / Year 1 = $10.45 / $9.00
Year 2 / Year 1= 1.6111
CPI for year 2 = 1.61 x 100
CPI for year 2 = 116.11
Therefore, the Option D is correct.
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1. (8 points) Is there any relationship between date of patient admission for treatment of alcoholism and patient's birthday? Assuming a 365-day year, in the absence of any relation, patient's admissi
The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.
The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:
X² = ∑(observed - expected)² / expected
The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.
To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.
Category 1: expected frequency = 49, observed frequency = 12
Category 2: expected frequency = 49, observed frequency = 22
Category 3: expected frequency = 49, observed frequency = 65
Category 4: expected frequency = 49, observed frequency = 97
Using the formula above, we can calculate the test statistic:
X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]
X² = 37.96
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Complete Question:
An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.
Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
3. Nami poured cup of rice into an empty jar. The rice filled of the jar. How many cups of rice will
fill an empty jar of the same size? Show or explain how you know.
Using simple mathematical operations, we know that 1/15 cup of rice will fill the empty jar.
What are mathematical operations?An operation is a mathematical action.
Addition, subtraction, multiplication, division, and determining the root are all examples of mathematical operations.
The four basic mathematical operations, according to the majority of people, are addition, subtraction, multiplication, and division.
So, we know that:
Nami filled a container with 1/3 cup of rice.
3/5 of the jar was filled with rice.
A number of cups of rice that will fill the empty jar:
3/5 - 2/3
3*3 - 5*2/15
9-10/15
-1/15
The answer here cannot be negative: 1/15
Therefore, using simple mathematical operations, we know that 1/15 cup of rice will fill the empty jar.
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Correct question:
Nami poured 2/3 cup of rice into an empty jar. the rice filled 3/5 of the jar. how many cups of rice will fill an empty jar of the same size? show or explain how you know.
If 45% of a number, n, is 225, what is 74% of n?
Answer: 375
hope this helps :D
Step-by-step explanation:
225/45=5
5=1%
5 times 74 equals 375
sheila is 155 cm tall lilias height is 10 cm less than twice sheila's height. how tall is lilia?
Answer:
145 cm
Step-by-step explanation:
155 cm - 10 cm
145 cm
2. Convert the following into a single log statement from the many log statements to 1.
2 Log w+ log 7-3 log x-8 log y
NOTE: You must show this in at least two steps.
1st line should be to convert the 2 the 3 and the 8 only.
2nd line can be the final answer.
A single log statement from the many log statements to 1 is: \(log(7wy^{(-8)}/x^3)\)
The exponent that indicates the power to which a base number is raised to produce a given number are called logarithm.
Use the logarithmic identity:
log\((a^n)\) = n*log(a)
to convert the coefficients 2, 3, and 8:
log w + log 7 - 3log x - 8log y
= log w + log 7 - log \(x^3\) - log \(y^8\)
Combine the terms on the right-hand side using the logarithmic identity:
log(a) + log(b) = log(ab)
log w + log 7 - log\(x^3\) - log \(y^8\)
= log(\(7wy^{-8}/x^3\))
Therefore, the single log statement is from the many log statements to 1 is: log\((7wy^{-8}/x^3)\)
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