Answers
From the graph, we observe that
The given curve is,
\(f(x)=x^2\)We need to write the formula for the function g:
The graph of g(x) is shifted 2 units right and 4 units down the original graph.
Hence, the formula g(x) is,
\(\begin{gathered} g(x)=f(x-2)-4 \\ g(x)=(x-2)^2-4 \end{gathered}\)Hence, the answer is,
\(g(x)=(x-2)^2-4\)Related Questions
Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.
What mistake did Lorie make?
A. She added an extra term to the dividend.
B. She combined the constants incorrectly in the last step.
C. The second term in the quotient should be 7.
D. The last term in the quotient has an incorrect denominator.
Answers
Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (x³ + x² - x)
5x² + x + 5
-(5x² + 5x - 5)
-4x + 10
Result : \(x+5+\frac{-4x+10}{(x^{2}+x-1)}\)
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
Answers
Answer:
1) B
2) B
Step-by-step explanation:
1) funtion 1 slope is 4
function 2 we use y2-y1/x2-x1
10-6/3-1
4/2
2 is the slope of function 2
so function 1 is bigger
1) only b is correct because it lands on the same line of y=x
hopes this helps please mark brainliest
The sum of 1/7 of a number and 1/8 of that number gives 12
Answers
Answer:
the problem is 1/7x+1/8?
The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370
Answers
Hope it helpful
There are 310 bacteria are present after 10 hours.
The first is the correct option.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
The population of a bacterial culture grows at a rate of 4.5% every hour.
If there were 200 bacteria at the start,
then the number of bacteria after 10 hours are,
y = 200(1 + 0.045)¹⁰
y = 310.6
Therefore, 310.6 bacteria are present after 10 hours.
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The product of one-fourth and the quantity of the sum of x and eight
Answers
Answer:
Step-by-step explanation:
Are you asking to have this sentence put into a mathematical expression? If so, I think the answer is:
y = (1/4)(x + 8) = 1/4 x + 2
njjejsjsksjddhshhshd dhdhd
Answers
Answer:
Yes
Step-by-step explanation:
Because hajdnrbidkwnf
Answer:
dhahshsh! hgadfsuygfvwbh!! hsgshhss.... hGFVSJWhh!!!!! hooshbsnm? ohfscvbhjshamsy!!!!!!!!!!!!!!!! jagtywbsuywgfgbhajks......
Step-by-step explanation:
X¹² - 1 แยกตัวประกอบของพหูนาม
Answers
Answer:
\(\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)\)
Step-by-step explanation:
Factor of \(x^{12}-1\) is
\(\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)\)
The area of a square is the square of the length of a side
Answers
The area of a square is the square of the length of a side is a^2.
The quantity of space occupied within the square can be used to calculate the size of a square using mathematics. We'll go over the equation for calculating the square's area below. It is mainly known for its geometric quadrilaterals. The simplest definition of a square is a regular polygon with four equal sides. A square has all the same facts and characteristics as regular polygons.
The number of square units that are anticipated to fill a square is used to describe the area of a square. The area is typically defined as the area included by the confines of a level article or 2D figure.
Mathematical Area of Square Formula = a×a=a^2.
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The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
Answers
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike
Answers
Answer: 1 \(\frac{1}{2}\)
Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2
hope it helps!!
The area of the triangle below is 33.62 square feet. What is the length of the base?
Answers
Answer:
4.1
Step-by-step explanation:
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Answers
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 387.20, \sigma = 68.50\)
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{425 - 387.20}{68.50}\)
\(Z = 0.55\)
\(Z = 0.55\) has a pvalue of 0.7088
X = 325
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{325 - 387.20}{68.50}\)
\(Z = -0.91\)
\(Z = -0.91\) has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
1.
(03.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)
Answers
Answer:
sept one
Step-by-step explanation:
Assume we have a random variable X with a Uniform probability density function. Uniform probability density is defined as: if a < x
Answers
The range of the uniform random variable X, you can compute its mean and variance.
b, then the probability density function (pdf) of a uniform random variable X is given by:
f(x) = 1/(b - a) for an x b
And f(x) = 0 otherwise.
The uniform distribution is a continuous probability distribution with a constant probability density over a given range (a, b). The range (a, b) defines the possible values of the random variable X, and the constant probability density means that all values in the range have an equal chance of occurring.
The mean (expected value) and variance of a uniform random variable X are given by:
Mean (expected value) = (a + b)/2 Variance = (b - a)2/12
So, if you specify the range of the uniform random variable X, you can compute its mean and variance.
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There are six doors in a hostel .In how many ways a student enters the hostel and leave by different door
Answers
Answer:
5 times
Step-by-step explanation:
Because he enters through the front door.
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
Answers
Answer:58.60
Step-by-step explanation:
because this was just a wasted of you time very not sorry thx for the pts .
Joel wants to find the best model for a bivariate data set that he is working with. He used a calculator to create a linear model, a
quadratic model, and an exponential model. The coefficient of determination for the linear model was 0.45. The coefficient of
determination for the quadratic model was 0.38, and the coefficient of determination for the exponential model was 0.51.
Which model should he use to represent the data set?
Answers
Answer:
exponential
Step-by-step explanation:
just took the test
HELP!!!!!!!! Which system of linear equations can be solved using the information below?
Answers
The system of linear equations that can be solved from the matrices is given as follows:
-5x + 4y = 3.-8x + y = -6.How to obtain the system of equations?Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:
A = [-5 4; -8 1]
Hence the multiplication of matrices representing the system is given as follows:
[-5 4; -8 1][x; y] = [3; -6]
Applying the multiplication of matrices, the system of equations is given as follows:
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what is the area of the figure below
Answers
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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2
1
-1
-2
Determine the period.
2 4
6 8 10 12 14
Acellus
Answers
According to the information we can infer that the period of the graph is 8.
How to determine the period of the graph?To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.
In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.
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elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
Answers
ax - b = c for x. ..........................
Answers
Answer:
17 for x
Step-by-step explanation:
pls give me brainliest im almost lvled up
Answer:x=\(\frac{c+b}{a}\)
ax-b=c
add b
ax-b+b=c+b
ax=c+b
divide a
ax÷a=c+b÷a
x=\(\frac{c+b}{a}\)
I hope this is good enough:
How far is the robot claw from the winter lane
Answers
Answer:
4 blocks.
Step-by-step explanation:
The mean electrix bill for family C is approximately: $33., $21., $28., and $25. greater than the mean electric bill for family A. This difference is about 2 1/2 times, 3 1/2 times, 2 times, or 1 1/2 times. (part A: choices r $33, $21, $28, & $25. Part B: choices r 2 1/2, 3 1/2, twice, or 1 1/2 times. I still need the answer as well. mean of family C electric bill is $1,339.60 and family A: $943.00. )
Answers
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answers
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
What step should be taken to isolate the variable in the following
equation? 7d=49*
add 7 to both sides
subtract 7 from both sides
multiply 7 on both sides
divide 7 from both sides
Answers
Answer:
Divide 7 on both sides.
Step-by-step explanation:
Find the value of A
Answers
x2y3×35 (x+y)=5A
35x3y4=5A
A=35 x^2y^3÷5
Step-by-step explanation:
x2y3×35(x+y)=5A
35×3y4=5A
A=35×^2y^3÷5
Which number is the closest approximation to the value 200 ?
(A) 20
B) 10
C) 6
(D) 100
Answers
Answer:
the answer is 100...........
How much would $100 invested at 8% interest compounded continuously be
worth after 15 years? Round your answer to the nearest cent.
A(t)=Poet
O A. $332.01
O B. $220.00
O C. $317.22
D. $285.67
Answers
Answer:
Step-by-step explanation:
A = \(pe^{rt}\)
A = 100\(e^{.08 *15}\)
A=. $332.01
The value of the investment after 15 years is $332.01.
Option A is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
The continuous compounding formula is given by:
\(A = Pe^{rt}\)
Where:
A = the ending amount
P = the principal (initial investment)
e = the mathematical constant (approximately equal to 2.71828)
r = the interest rate (as a decimal)
t = the time period (in years)
Using this formula, we can find the value of the investment after 15 years:
A = 100 \times e^{0.08 \times 15} ≈ $332.01
Therefore,
The value of the investment after 15 years is $332.01.
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