Answer:
(f + g)(x) means f(x) + g(x)
General Formulas and Concepts:
Alg I
Function NotationCombining like termsAlg II
Composite FunctionsStep-by-step explanation:
(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.
Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.
5-star rating n brainiest if answered right
Answer:
(-7,10)
please see the attached picture for full solution..
hope it helps..
Good luck on your assignment
who’s up!! Can someone help meee
Answer:
Step-by-step explanation:
Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!
Hell meeeeeeeeeeee please
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy
What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST
Answer:
\(5\times10^3\)
Step-by-step explanation:
\(3.55\times10^6 \div 7.1 \times 10^2\)
Exponents are positive:
\(3.5.5.0.0.0.0. = 3550000\)
\(7.1.0.=710\)
\(3550000 \div 710 = 5000\)
Convert back into scientific notation:
\(5000 = 5 \times 10^3\)
\(= 5 \times10^3\)
Hope this helps.
Answer: 5 x 10^3
Step-by-step explanation:
39.
Gregory planted a lemon tree in his back yard. When he planted the tree, it was 2 feet tall. He noticed that it has been growing
eTool (Desmos) Homework Help
a. Create multiple representations (→y table, graph, and equation) to represent the relationship between the days that ha
tree.
b. If the tree continues growing at this rate, when will it be 6 feet tall? How can you see this in each of the representations?
c. State the possible inputs and outputs of the graph.
PLS HELP
Given the following diagram, find the required measures.
Given: l || m
m∠1=120
m∠3=40
m∠4=
120
50
140
HELP 50 PTS AND BRAINLY!!!
Answer:
7x
Step-by-step explanation:
CAN someone help me ):
Answer:
249.6
Step-by-step explanation:
width x height x 1/2 = area fo a triangle
12(2) x 10.4(2) x 1/2 = 249.6
I assumed this means all of the surface area. Hope this helps. Sorry if I'm wrong.
Identify the following dilemmas as either constructive or destructive. Then suggest a refutation for each by escaping between the horns, grasping by the horns, or constructing a counterdilemma.
If the Mitchells get a divorce, they will live separately in poverty; but if they stay married, they will live together in misery. Since they must either get a divorce or stay married, they will either live separately in poverty or together in misery.
This is a false dilemma, also known as a black-and-white fallacy, which presents only two extreme options and assumes that there are no other alternatives.
In this case, the dilemma suggests that the only two choices for the Mitchells are to get a divorce or to stay married, and both options have negative outcomes. However, there may be other alternatives that are not considered in this dilemma, such as counseling, financial planning, or other ways to improve their relationship and financial situation.
A possible refutation could be constructing a counterdilemma, such as:
Are there no other alternatives for the Mitchells to consider besides getting a divorce or staying married? What if they sought professional counseling or financial advice to address their issues?
Are poverty and misery the only possible outcomes for the Mitchells if they get a divorce or stay married? What if they found ways to improve their financial situation or relationship while living apart or together?
By questioning the premise of the dilemma and considering other options, we can escape between the horns or grasp the situation by the horns and find a better solution.
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What choices are correct?
A-The graph is increasing over the interval x<5
B-The graph is decreasing over the interval -4
C-The graph has exactly 2 relative minimums
D-The range is all real numbers
E-The domain is all real numbers
PLEASE HELP! it’s due today. Please give explanation if you
Can
The velocity V of an object dropped from a tall building is given by V = V64d, where dis
the distance, in feet, the object has dropped. Find the distance when the velocity is
32 ft/sec.
Answer:
d = 0.0625 m
Step-by-step explanation:
The velocity of an object dropped from a tall building is given by :
\(v=\sqrt{64d}\)
Where
d is the distance in feet
We need to find the distance when the velocity is 32 ft/s
Rearranging for d,
\(v^2=64d\\\\d=\dfrac{64}{v^2}\)
Put v = 32 ft/s
\(d=\dfrac{64}{32^2}\\\\d=0.0625\ m\)
So, the required distance is 0.0625 m.
Identify the domain of the function shown in the graph.
O A. x>-1
O B. {-1,1)
O C. -15x31
O D. xis all real numbers.
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is ~
x is all real numbers
Option D is correct, domain of the function in the graph are x is all real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given function.
What can go into a function is called the Domain.
What may possibly come out of a function is called the Codomain.
What actually comes out of a function is called the Range.
IAs we observe the x values through which the curve is passing, it is passing through all the points of x axis.
So the domain will be all the real d=numbers.
Hence, Option D is correct, domain of the function in the graph are x is all real numbers.
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Use the given frequency table to find mean, median,mode,and range.
Answer:
Mode:6
median: 5.5
mean: 5.25
range : 2
Step-by-step explanation:
drag each item to its correct place es de monomios
Answer:
Step-by-step explanation:
-2x
Grado : 1
Coefficiente : -2
Parte literal : x
x²y⁴:
Grado : 2+4 = 6
Coefficiente : 1
Parte literal : x²y⁴
if it takes 1 hour to cook a batch of cookies and cookiemonster has 15 ovens, working 24 hours a day, every day for 5 years, how long does it take cookiemonster to make 6 million batches of cookies?
It would take Cookie Monster 6,000,000 hours to make 6 million batches of cookies, assuming he doesn't take any breaks and all of his ovens continue to function perfectly.
If it takes 1 hour to cook a batch of cookies and Cookie Monster has 15 ovens, working 24 hours a day, every day for 5 years, then the total amount of batches of cookies he can make in 5 years is:
Batches of cookies = (15 ovens) × (24 hours) × (365 days) × (5 years)
Batches of cookies = 1,314,000
This is the number of batches of cookies he can make in 5 years working non-stop.
To find out how long it takes him to make 6 million batches, we can set up a proportion.
Let x be the number of hours it takes to make 6 million batches of cookies:
x hours / 6,000,000 batches = 1 hour / 1 batch
Solving for x, we get:
x = 6,000,000 hours
Therefore, it would take Cookie Monster 6,000,000 hours to make 6 million batches of cookies, assuming he doesn't take any breaks and all of his ovens continue to function perfectly.
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A die is rolled. Find the probability of the following outcome.
P( even )
Probability of even rolling in a die is 1/2.
Given,
Roll a die.
Now,
Numbers present in a die: 1 , 2 , 3 , 4 , 5 , 6 .
Even numbers: The numbers which are divisible by 2 are known as even numbers.
Odd numbers : The numbers which are not divisible by 2 are known as even numbers.
Thus,
Total number of outcomes : 6
Even numbers : 2 , 4 , 6
So total outcomes of even numbers = 3
Probability(even numbers) = 3/6
= 1/2
Thus probability of even number rolling in a die is 1/2 .
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Evaluate the function
Answer:
92
Step-by-step explanation:
plug -4 into the function
3(-4)²-10(-4)+4
48+40+4
92
Answer:
92
Step-by-step explanation:
f(-4)=3(-4)^2-10(-4)+4
=3(16)-10(-4)+4
=48+40+4
=92
Find the midpoint of the segment with the given endpoints.
(-5,6) and (7,-6)
Step-by-step explanation:
\( (\frac{x1 + x2}{2} . \frac{y1 + y2}{2} ) \\ \\ ( \frac{ - 5 + 7}{2} . \frac{ 6 + ( - 6)}{2} ) \\ \\ ( \frac{2}{2} . \frac{ 0}{2} ) \\ (1. 0)\)
(1,0) is the midpoint
assume that the amount of time a person experiences cold virus symptoms are normally distributed with a mean of 7.5 days and a standard deviation of 1.5 days. what cold length (number of days of symptoms) is exceeded by only 20% of cold sufferers?
Answer: The cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
Step-by-step explanation:
We need to find the value of the cold length (number of days of symptoms) that is exceeded by only 20% of cold sufferers, which corresponds to the 80th percentile of the normal distribution with a mean of 7.5 days and a standard deviation of 1.5 days.
Using a standard normal table or calculator, we can find the z-score that corresponds to the 80th percentile:
z = invNorm(0.8) = 0.8416
We can then use the formula for z-score:
z = (x - μ) / σ
where x is the cold length, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
0.8416 = (x - 7.5) / 1.5
Solving for x, we get:
x - 7.5 = 0.8416 * 1.5
x - 7.5 = 1.2624
x = 8.7624
Therefore, the cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
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Change and graph multiple choice
The function g(x) = 1 - √x is, A reflection along the x-axis and a vertical transformation up 1 unit.
What are some rules for the transformation of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over x-axis, (-x, y).
-f(x) = Reflection over y-axis, (x, -y).
f(x) = √x is a parent function.
Now, g(x) = 1 - √x is a function that is reflected along the x-axis because of the negative sign and shifted up 1 unit along the y-axis because of positive 1.
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Section 7.3: Problem 1 Find the volume of the solid obtained by rotating the region bounded by y=5 sin(5x), y=0, 0≤x≤ about the y axis.
The volume of the solid obtained by rotating the region bounded by y = 5sin(5x), y = 0, and 0 ≤ x ≤ π/5 about the y-axis is (50π/3)(1 - cos(π)) = 100π/3.
To find the volume of the solid using the method of cylindrical shells, we integrate 2πrhΔx over the interval 0 to π/5, where r represents the distance from the y-axis to the shell (which is x) and h represents the height of the shell (given by y = 5sin(5x)). The width of the shell, Δx, is represented by dx.
Integrating 2πx(5sin(5x))dx from 0 to π/5, we obtain (50π/3)(1 - cos(5π/5)) = 100π/3.
Therefore, the volume of the solid obtained by rotating the region bounded by y = 5sin(5x), y = 0, and 0 ≤ x ≤ π/5 about the y-axis is 100π/3.
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the surface of a cube is 13 1/2 cm squared. how long is one side of the cube
A cube has 6 sides. Divide the surface area by 6 to get the area of one side:
13 1/2 /6 = 2 1/4
The area of one side is S^2
To fins the length of the sides find the square root of the area:
Side = sqrt(2 1/4)
Side = 1 1/2 cm.
Write the equation that represents the line use exact numbers
Answer:
y= 6/5 x -5
Step-by-step explanation:
You have 2 points. (0,-5) and (5,1)
If you use the formula Y2-Y1 / X2-X1,
you will have 1 - (-5) on the numerator, which equals 6
you will have 5 - 0 in the denominator, which equals 5
6/5 is your slope, and the point on the y-intercept is what you put at the end of the equation.
I NEED IT FAST!!! HURRY PLEASE Which equality represents y = 3x2 + 2 written in function notation?f(y) = 3x2 + 2f (x) = 3x2 + 2f(3) = x2 + 2f(2) = 3x2
y =3x^2+2
In the function notation we write f(x) instead of y.
So, for this case:
f(x)=3x^2+2
GEOMETRY HELP
Please
Answer: 4.68555772
Step-by-step explanation:
Solve the equation.
,3
y =1,000
Answer:
I have stated the answer about hope it helps
A statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that overbar above x is 10. Estimate the population mean with 90% confidence.
b. Repeat part (a) with a sample size of 25.
c. Repeat part (a) with a sample size of 10.
d. Describe what happens to the confidence interval estimate when the sample size decreases
1. We can estimate the population mean with 90% confidence to be between 9.1775 and 10.8225.
b. We can estimate the population mean with 90% confidence to be between 8.289 and 11.711.
c. We can estimate the population mean with 90% confidence to be between 7.09 and 12.91.
d. As the sample size decreases, the confidence interval becomes wider because the standard error of the mean (σ/√n) increases.
How to explain the informationa For a 90% confidence level, the critical value is 1.645 (found using a z-table or a calculator). Therefore, plugging in the given values, we get:
CI = 10 ± 1.645 * (5/√100)
CI = 10 ± 0.8225
CI = (9.1775, 10.8225)
b. CI = 10 ± 1.711 * (5/√25)
CI = 10 ± 1.711
CI = (8.289, 11.711)
c. CI = 10 ± 1.833 * (5/√10)
CI = 10 ± 2.91
CI = (7.09, 12.91)
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A study of the effect on the human digestive system of potato chips made
with a fat substitute
Answer:
Perform an experiment
Step-by-step explanation:
The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.
Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.
So, the right answer is to perform an experiment.
The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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read the picture plsssssssssss