Find the error & explain why it is wrong:
megan solved the following problem. what did she do wrong?
what is (f - g)(2)?
f(x) = 3x2 – 2x + 4
g(x) = x2 – 5x + 2
Answers
The value of (f-g)(2) is 16, provided that Megan has made no mistakes in the calculation.
Find the error in the given problem solved by Megan?The problem asks us to compute the value of (f - g)(2) where f(x) = 3x^2 - 2x + 4 and g(x) = x^2 - 5x + 2.
The notation (f - g)(2) means that we need to subtract g(x) from f(x) and then evaluate the result at x = 2. We can do this as follows:
(f - g)(x) = f(x) - g(x) = (3x^2 - 2x + 4) - (x^2 - 5x + 2) = 2x^2 + 3x + 2
Substituting x = 2, we get:
(f - g)(2) = 2(2)^2 + 3(2) + 2 = 16
Therefore, the value of (f - g)(2) is 16.
It's worth noting that the problem statement mentions "what did she do wrong?" without providing any context or information about what Megan did or didn't do. So, it's not possible to identify any error in Megan's solution based on the given information. However, based on the correct computation above, we can be sure that (f - g)(2) is indeed equal to 16.
In other words, it can be described as,
The error in Megan's solution is not clear from the given statement. However, it seems that she may have made an error while computing (f-g)(2).
To compute (f-g)(2), we need to subtract g(2) from f(2) as follows:
f(2) = 3(2)^2 - 2(2) + 4 = 12
g(2) = (2)^2 - 5(2) + 2 = -4
Therefore, (f-g)(2) = f(2) - g(2) = 12 - (-4) = 16. is the final conclusion.
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Related Questions
If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answers
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
The graph below represents the solution set of which inequality?
Answers
Answer:
x < 2
Step-by-step explanation:
The indicated part is left from point 2.
You see an open circle at point (2,0) which means you should exclude the point x = 2 in the inequation.
Now you have enough info to get the right inequality:
x < 2
The ratio of high schools to middle schools in one state is 3 to 8. Given this ratio, which
two sets of school counts are possible?
480 high schools, 180 middle schools
440 high schools: 165 middle schools
150 high schools: 400 middle schools
D 120 high schools: 196 middle schools
225 high schools: 600 middle schools
Answers
Answer:
the answaa ihh D
Step-by-step explanation:
right answer above ;)
Answer:
D: 120 high schools: 196 middle schools p.s that is a lot of schools
Due to symmetry, the probability that the standard normal random variable Z is less than 0 is equal to ______. Multiple choice question. 0
Answers
Answer:
.5
Step-by-step explanation:
The probability that a normal random variable is less than its mean is .5
x^2=-49
Solve quadratic equation using square root
Answers
Answer:
x = 7i,-7i
Step-by-step explanation:
We are given x² = -49.
Using the square root - square root both sides.
√x² = √-49
Cancel the square and write plus-minus beside √-49.
x = ± √-49
Using the imaginary unit, i = √-1.
x = ± √49√-1
x = ± √49i
The square root of 49 is 7.
x = ±7i
Therefore, x = 7i,-7i but these solutions are in complex plane so in real plane, they do not exist.
South School has a circular pattern on the playground has a radius of 6 ft find A the circumference of the pattern and B the area of the pattern use 3.14 for pi
Answers
Use the equations for the circumference and the area of a circle
For the circumference:
\(\begin{gathered} P=2\pi\cdot r \\ P=2\cdot(3.14)\cdot6 \\ P=37.68 \end{gathered}\)The circumference is 37.68 ft.
For the area
\(\begin{gathered} A=\pi\cdot r^2 \\ A=3.14\cdot(6)^2 \\ A=113.04 \end{gathered}\)The area is 113.04 ft.
Each face of a cube has an area of 25 ft². What is the surface area of the cube?
Answers
Answer:
Step-by-step explanation:
Area of each face of a cube = 25 ft²
⇒ Side² = 25
Surface area of cube = 6side²
= 6*25
= 150 ft²
Answer:
For anyone who needs it the answer is 150 ft
Step-by-step explanation:
why a scientist might decided to set a lower significance level (example: 0.01 instead of 0.05) when conducting their hypothesis test
Answers
A scientist might set a lower significance level to reduce the likelihood of a Type I error (false positive) and increase the confidence in their results.
When conducting a hypothesis test, a scientist uses statistical methods to evaluate the evidence for or against a proposed hypothesis.
The significance level of a hypothesis test is the probability of rejecting the null hypothesis when it is true, which is also known as a Type I error. In other words, a significance level of 0.05 means that there is a 5% chance of rejecting a true null hypothesis, and accepting a false alternative hypothesis.
Setting a lower significance level, such as 0.01, means that the scientist is willing to accept a higher level of confidence in their results and reduce the likelihood of making a Type I error.
This means that the researcher is willing to accept that there is only a 1% chance of rejecting a true null hypothesis, which is a more conservative approach.
There are several reasons why a scientist might choose to set a lower significance level.
First, if the consequences of a false positive are severe or costly, such as in medical research or engineering, then a lower significance level can help to minimize the risk of making a wrong decision.
Second, if the sample size is small, a lower significance level can help to reduce the impact of random variation and increase the confidence in the results.
Finally, if the effect size of the study is small, a lower significance level can help to ensure that the observed difference is not due to chance and is truly meaningful.
In summary, setting a lower significance level can help a scientist to increase the confidence in their results, reduce the likelihood of making a Type I error, and ensure that the observed difference is not due to chance.
However, it is important to balance the need for a high level of confidence with the practical considerations of the study and the potential consequences of a false positive.
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Is it point A Point C Point H or Point L
Answers
Answer:
Step-by-step explanation:
La vaca
El pato
Answer:
L
Step-by-step explanation:
You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).
8 - 1 = 7
That is the largest difference between the coordinates of the points shown in the graph.
What value belongs next to the 1 in the table? What does it mean in this context?
Answers
Answer:
The number next to 1 is 2.5.
It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)
Step-by-step explanation:
The value next to 1 in the table above = number of dimes we have in 1 quarter.
Let the value next to 1 be "x".
That is:
1 quarter = x dimes
If 4 quarters = 10 dimes, then,
Cross multiply to find, how many dimes, x is equal to.
Thus:
1*10 = 4*x (cross multiplication)
10/4 = 4x/4 (dividing both sides by 4)
2.5 = x
The number next to 1 is 2.5.
It means 2.5 dimes are in 1 quarter (1 quarter = 2.5 dimes)
Pls. Help find these answers?!
Answers
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
You would like to compare mathematics knowledge among 15-year-olds in the US and Japan. To do this, you plan to give a mathematics achievement test to samples of 1000 15-year-olds in each of the two countries. To ensure that the samples will include individuals from all different socioeconomic groups and educational backgrounds, you will randomly select 200 students from low-income families, 400 students from middle-income families, and 400 students from high-income families in each country. This is an example of a
Answers
This is an example of a comparative study that uses random sampling to ensure representation from different socioeconomic groups and educational backgrounds in the samples. The study aims to compare mathematics knowledge among 15-year-olds in the US and Japan by administering a mathematics achievement test to 1000 students from each country.
Hi! I'd be happy to help with your question. You would like to compare mathematics knowledge among 15-year-olds in the US and Japan by giving a mathematics achievement test to samples of 1000 15-year-olds in each of the two countries, with 200 students from low-income families, 400 students from middle-income families, and 400 students from high-income families in each country. This is an example of a stratified random sampling method.
In this case, the population is divided into different strata based on socioeconomic groups (low-income, middle-income, and high-income families), and then random samples are drawn from each stratum. This ensures that the samples include individuals from all different socioeconomic groups and educational backgrounds, which allows for a more accurate comparison between the two countries.
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Find the volume of the square pyramid shown. Round to the nearest cubic foot.
Answers
Answer:
3840 ft³
Step-by-step explanation:
Volume of a pyramid = 1/3( base area x height)
Base area = area of a square
area of square = length²
= 24² = 576
volume = 1/3(576 x 20) = increases as the price falls
What is the two different values of the digit 8 in the number 428. 87?
Answers
Answer:
8 and .8 or 8/10
Step-by-step explanation:
The 1st 8 is in the ones place, so it's value is 8.
The 2nd 8 is in the tenths place, so it's value is .8 or 8/10
Square root of 2.75?
Answers
Answer: 1.65831239518
Step-by-step explanation:
The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as
(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777
How is inductive reasoning used to recognize mathematical relationships?
Answers
Answer:
A general way of explaining this is
Suppose that we have a given property (or a pattern if we are working with a series of numbers):
Now, if that property is true, for example, for the numbers 1, 2, 3... etc. Then we can suppose that the property is also true for an unknown number N.
Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.
We actually can use any set, not only the natural numbers.
For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.
A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?
Answers
Answer:
56 rabbits
Step-by-step explanation:
Given that t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.
In 126 days, there are
= 126/7
= 18 weeks
It means that the rabbit population will double
= 18/6 times
= 3 times
Since there are currently 7 rabbits at the end of 6 week,
P(6) = 7 * 2
= 14
At the end of 12 weeks
P(12) = 14 * 2 = 28
At the end of 18 weeks
P(18) = 28 * 2 = 56
Hence there will be 56 rabbits at the end of 126 days
- Evaluate: (2.4 X 10^4)(4.5 10^3) A 1.08 x 107 B 1.08 x 108 C 1.08 x 1012 D 1.08 x 1013
Answers
Answer:
Step-by-step explanation:
solve 1/4(x-16)=3/4 please i'm dum
Answers
Answer:
x=19
Step-by-step explanation:
Answer: this might help
Use the "Insert Line" Tool to construct the line
showing the given distance. If you need to extend
the line outside the shape, use a dotted line.
Answers
The distance from B to AC can be constructed as
The distance from G to EF can be constructed as
The distance from Q to SR can be constructed as
What is the distance of a line from a point?
A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.
For the first figure,
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are the lines parallel
Answers
Answer:
yes the lines are parralel
Step-by-step explanation:
Answer:
Yes they are. Parallel lines are lines that don't intersect, no matter if they are sideways!
A car is traveling along a road that makes a 13° angle with the ground. Find the elevation of the car on a stretch of road that extends horizontally 125 meters. Round your answer to the nearest tenth.
Answers
Answer:
Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.
Step-by-step explanation:
To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.
Given:
Angle of the road = 13°
Horizontal distance = 125 meters
We can use the tangent function to calculate the elevation:
tan(angle) = opposite / adjacent
In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.
Let's denote the elevation as "e". The equation becomes:
tan(13°) = e / 125
To solve for "e", we can rearrange the equation:
e = 125 * tan(13°)
Using a calculator, we can evaluate this expression:
e ≈ 125 * tan(13°) ≈ 29.7
find a range of values for x
Answers
Answer:
22
Step-by-step explanation:
What’s the answeri need help asap ?
Answers
The parameters of the sinusoidal function, y = -3·cos(π·(π - 2)) - 4, obtained from the equation of the function are;
(a) a) 2
b) 4 units down
c) 2 units left
(b) d) Please find attached the graph of the function showing the period created with MS Excel.
What is a sinusoidal function?A sinusoidal function is a periodic sine or cosine based function.
The specified sinusoidal function can be presented as follows;
y = -3·cos(π·(x - 2)) - 4
The general form of a sinusoidal function is; y = A·cos(B·(x + C)) + D
(a) a) The period of a sinusoidal function is T = 2·π/|B|
A comparison with the general form of a sinusoidal function indicates;
A = 3, B = π, C = -2, D = -4
B = π
Therefore; T = 2·π/π = 2
The period, T = 2
b) The vertical shift of the function, D = -4
c) The horizontal shift of the function, C = -2
(b) d) Please find attached the graph of the function created with MS Excel
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Complete the statement. 16 ft 9 in =_ in.
Answers
12x-7<8+9x for x
please help
Answers
Answer:
X < 5
Step-by-step explanation:
12x - 7 < 8 + 9x
3x - 7 < 8
3x < 15
x < 5
Hope this helps. Pls give brainliest.
you are ordering shirts for a club at your school. the function f(x)=8x+12 represents the cost of ordered x shirts how much would it cost to buy 32 shirts
Answers
The cost of ordering shirts for a club is 268 units.
Define Function.
A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.
This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).
The statement that f is a function from X to Y using the function notation f: X→Y
The function that represents the cost of the shirts(x) is f(x) = 8x+12
Now, for x = 32
f(x) = 8x+12
f(32) = 8(32) + 12
= 256 +12
f(32) = 268 units
.
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\angle x∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 49^\circ49
∘
49, degrees.
What is the measure of \angle x∠xangle, x?
Answers
Answer:
This makes no sense
Step-by-step explanation:
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answers
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
can somebody please double check this for me
Answers
Answer:
3. Acute and scalene
5. Acute isosceles
Explanation:
Those are the two answers that had mistakes