Answers
The functions evaluated are:
g(0) = 1.5g(10) = 1,536f(0) = 0f(10) = 300How to evaluate the functions?Here we have two functions, these are:
f(x) = 3*x^2
g(x) = 1.5*2^x
We want to evaluate these in x = 0 and x =10, to do so, we only need to replace the values of x by the correspondent numbers.
We will get:
f(0) = 3*0^2 = 0
f(10) = 3*10^2 = 3*100 = 300
And for the other function:
g(0) = 1.5*(2)^0 = 1.5*1 = 1.5
g(10) = 1.5*(2)^10 = 1.5*1024 = 1,536
These are the values.
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Related Questions
I really need help with this
Answers
2. 4x=7x-21 -----> Distribute 7 by multiplying it to the individual terms inside the parenthesis. 7(x) - 7(3) = 7x -21
3. -3x=-21 ------> From step 2, combine like terms by transposing. The equation becomes 4x - 7x = -21. Simplifying, it becomes -3x = -21
4. x = 7 -----> Divide both sides by -3, you get the value o x.
I don’t get it please help
Answers
Answer: 50, 75, 40, 125
Step-by-step explanation:
a) x = 5*20/2 = 50
b) x = 5*30/2 = 75
c) x = 2*100/5 = 40
d) x = 5*50/2 = 125
Which expressions are equivalent to 2(2x + 4y + x − 2y)? (1 point)
Answers
Answer:
6x + 4y
Step-by-step explanation:
2(2x + 4y + x − 2y)
= 4x + 8y + 2x - 4y
= 6x + 4y
Solve for c round your answer to the nearest tenth
Answers
Answer:
C = 7.72 ~ 7.7
Step-by-step explanation:
So when you solve this equetion you must 1st find x then c
we can find x by using cos(60)
cos(60) = x/14
x = cos(60) × 14
x = 1/2 ×14
x = 7
so after we find x we are going to solve c by using cos (25)
cos (25) = X/C = 7/c
cos(25) × C = 7
C = 7/cos (25)
C = 7.72 ~ 7.7
so the solution is 7.7
Find the midpoint of each line segment.
Answers
Answer:
(3, -3.5)
Step-by-step explanation:
\(\left(\frac{1+5}{2}, \frac{-3-4}{2} \right)=(3, -3.5)\)
The eigenvalues of a matrix A are the same as the eigenvalues of the reduced row echelon form of A.TRUE/FALSE
Answers
False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.
A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.
This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.
Think about these matrices as an illustration:
Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.
A = [1 2; 2 1]
and
B = [1 0; 0 1].
The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.
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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.
Explanation:
Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.
Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.
However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.
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Show that every element of Sn can be written as a product of transpositions of the form (1, k) for 2sksn. (Assume that n >1 so that you don't have to worry about the philosophical challenges of Si-t0) [Hint: why is it enough to show that this is true for transpositions?]
Answers
In conclusion, we have shown that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
To show that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n, we need to prove that any permutation in Sn can be expressed as a product of such transpositions.
Firstly, note that it is enough to show that this is true for transpositions because any permutation in Sn can be expressed as a product of transpositions.
Now, consider a permutation π in Sn. We can write π as a product of transpositions as follows:
π = (1, π(1))(1, π(2))...(1, π(n-1))
To see why this works, consider the effect of the first transposition (1, π(1)) on π. This transposition swaps 1 and the element π(1) in π. Then, consider the effect of the second transposition (1, π(2)) on the result of the first transposition. This transposition swaps 1 and the element π(2), which may or may not be equal to π(1). Continuing this process, we eventually end up with the permutation π.
Note that each transposition (1, k) can be expressed as the product of three transpositions:
(1, k) = (1, 2)(2, k)(1, 2)
Therefore, any permutation in Sn can be expressed as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
In conclusion, we have shown that every element of Sn can be written as a product of transpositions of the form (1, k) for 2 ≤ k ≤ n.
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How do I solve question 6 through 8?
Solve for me
Answers
The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
How to determine the functions?A quadratic function is represented as:
y = a(x - h)^2 + k
Question #6
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
Question #7
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
Question #8
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
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write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answers
Answer:
y-1=-3(x+2)
Step-by-step explanation:
5 3/5÷2 2/3 in its simpilest form
Answers
Answer: 2.1
Step-by-step explanation:
Calculator
if the original price is $40 and the discount price is $25, what is the percent discount?
Answers
Answer:
i think its 62.5%
Step-by-step explanation:
have a good day :)
Answer:
37.5%
Step-by-step explanation:
Ok I always do these problems in a weird way cuz im autistic but here's my process...
10% of 40 is 4
5% of 40 is 2
2.5% of 40 is 1
4 goes in to 25 6 times
4x6=24
which is one less than 25
so there's six 10%s which is 60%
plus the extra 2.5%
so it's 62.5%
so the item is 37.5% off...
indicate whether the statements are true or false. a. adverse selection occurs because of asymmetric information. true false
Answers
The given statement that Adverse selection occurs because of asymmetric information is true . Because it happens when one party have no idea about other party .
Adverse Selection:
Adverse selection generally refers to the situation in which the seller has information that the buyer does not have or, conversely, knows about aspects of the product's quality. In other words, it is a case of misusing asymmetric information. Information asymmetry, also known as information impairment, occurs when one party to a transaction has more important knowledge than the other party.
For example, corporate managers may be more willing to issue stock if they know that the stock is overvalued relative to its true value. Buyers may suffer losses by purchasing overvalued stocks. In the used car market, sellers can learn about vehicle defects and charge buyers extra fees without disclosing the problem.
A common consequence of negative selection is that consumers lack information from sellers and manufacturers, increasing costs and creating market asymmetries.
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90 is 12% of what number
Answers
Answer:
750
Step-by-step explanation:
Just divide 90 by 0.12 then it gives you 750. If you want to check it you can multiply 750 by 0.12 and it gives you 90. I got 0.12 from 12% since they're the same thing.
Savannah is writing an article for the school paper on the next school election. She surveys 20 of her friends and finds that 17 plan on voting for Angie Ruiz for president. In the article, Savannah wrote that she expects 85% of the student population to vote for Angie Ruiz. Why is this a poor estimate of the election outcomes?
Answers
Answer:
A. The students were not chosen randomly.
Step-by-step explanation:
which equation best matches the graph shown below ?
Answers
You can see the y intercept is -5
Then I plugged in 1 in too left equator and saw it’s a bit lower than -6
first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.
Answers
\(a(n) = 3 + 5n\)
\(b(n) = - 2 + 6n\)
\(a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)\)
\(a(5) \: or \: b(5) = 3 + 5(5) = 28\)
take you time. A school cafeteria serves sandwiches with different combinations of bread and deli meat. Bread choices include wheat bread and white bread, while deli meat choices include turkey, ham, and roast beef. The cafeteria has the same number of each sandwich combination.
Bryan wants to determine the probability of randomly selecting a turkey-on-wheat sandwich or a ham-on-wheat sandwich. He uses a simulation, where flipping a coin represents the bread choice and rolling a number cube represents the deli meat choice. Heads (H) on the coin will represent the wheat bread and tails (T) will represent white bread. Rolling a 1
or 2
on the number cube will represent turkey, rolling a 3
or 4
will represent ham, and rolling a 5
or 6
will represent roast beef. Bryan conducts 24
trials of the simulation and his results are shown in the table below.
A school cafeteria serves sandwiches with different combinations of bread and deli meat. Bread choices include wheat bread and white bread, while deli meat choices include turkey, ham, and roast beef. The cafeteria has the same number of each sandwich combination.
Bryan wants to determine the probability of randomly selecting a turkey-on-wheat sandwich or a ham-on-wheat sandwich. He uses a simulation, where flipping a coin represents the bread choice and rolling a number cube represents the deli meat choice. Heads (H) on the coin will represent the wheat bread and tails (T) will represent white bread. Rolling a 1
or 2
on the number cube will represent turkey, rolling a 3
or 4
will represent ham, and rolling a 5
or 6
will represent roast beef. Bryan conducts 24
Based on the results of this simulation, what is the probability that Bryan randomly selects a turkey-on-wheat sandwich or a ham-on-wheat sandwich?
had to take 2 pictures.
Answers
There is a \(0.54\) probability that Bryan will choose a ham- or turkey-on-wheat sandwich at random.
What is likelihood and how is it calculated?The probability measures the likelihood of an event happening. It gauges how likely an occurrence is. P(E) = Number of Favorable Results of Total Outcomes is the formula for probability.
Who founded probability?Blaise Pascal with Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how mathematicians and researchers perceived uncertainty and risk.
\(6+7=13\)
As a result, the following is the experimental likelihood of choosing a turkey or ham sandwich at random:
\(13+ 24=0.54\)
\(13/24 =0.54\)
According to the simulation's findings, there is a roughly \(0.54\) percent chance that Bryan will choose a turkey or ham sandwich at random.
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Mark’s mother is planning to invest $25,000 into each of two savings accounts to save money to remodel her restaurant. • Bank 1 offers an interest rate of 5. 25%. • Bank 2 offers an interest rate of 8. 5%. Both accounts pay simple interest. Marks's mother will leave the money in each account for exactly 3 years. What is the sum of the interest the two accounts will earn at the end of 3 years?
Answers
\(~~~~~~ \stackrel{\textit{\LARGE Bank 1}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 5.25\%\to \frac{5.25}{100}\dotfill &0.0525\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (25000)(0.0525)(3) \implies I = 3937.5 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \stackrel{\textit{\LARGE Bank 2}}{\textit{Simple Interest Earned}} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (25000)(0.085)(3) \implies I = 6375 \\\\[-0.35em] ~\dotfill\\\\ 3937.5~~ + ~~6375\implies \text{\LARGE 10312.5}\)
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x3, y = 5x, x ≥ 0; about the x-axis v = incorrect: your answer is incorrect.
Answers
The volume of the solid obtained by rotating the region bounded by the curves \(y = 5x^3\) and y = 5x, where x ≥ 0, about the x-axis is incorrect.
To find the volume, we can use the method of cylindrical shells. We integrate the circumference of each shell multiplied by its height to obtain the volume.
The intersection points of the curves can be found by setting y = 5x³ equal to y = 5x. Simplifying the equation gives x³ = x, which yields two intersection points: x = 0 and x = 1.
Next, we express the height of each shell as the difference between the y-coordinates of the curves at a given x-value: h = (5x) - (5x³).
The circumference of each shell can be calculated as 2πx.
The integral for the volume then becomes V = ∫(2πx)(5x - 5x³) dx, integrated from x = 0 to x = 1.
Evaluating this integral yields the correct volume value. However, since the prompt states that the provided answer is incorrect, there might be an error in the calculation or interpretation of the problem. Double-checking the calculations or reviewing the specific instructions for the problem may be necessary to identify and correct the mistake.
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7a - 4a for a = 8 Anyone know the answer?
Answers
Answer:
the answer is 24
Step-by-step explanation:
hoped I helped:)
The value of the expression for x=8 is 24
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions
Given here: The expression as 7a-4a
Now combining the like terms we get
7a-4a=3a
for a=8
we have
3a=3×8
=24
Hence, The value of the expression for x=8 is 24
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which expression is equivalent to 10q+5
Answers
Answer:
5q+5q+5
Step-by-step explanation:
A recipe for apricot stuffing calls for 1/2 pounds of apricots. If Gracie
increases the recipe 2 - times, how
2 many pounds of apricots will she
need?
Answers
Answer:
1 pound.
Step-by-step explanation:
1/2 * 2
= 1
Cooper is opening an online
savings account to hold his $20,000
emergency fund. The online account pays 1.5% interest compounded
monthly. If Cooper does not deposit or withdraw any money from the
account, how much will be in the account
in 5 years?
Answers
Answer:
Step-by-step explanation:
Can some one help me with Freshmen Algebra I kinda forgot how to do something and I need a refresher.
Answers
Answer:
Wheres the question?
Step-by-step explanation:
a=h(b+c) solve for c
Answers
Answer:
\(c=\frac{a}{h}-b\)Explanation:
Given the equation:
\(a=h(b+c)\)we want to make c the subject of formula;
let us divide both sides by h;
\(\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}\)Then let us subtract b from both sides;
\(\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}\)Therefore, making c the subject of formula we have;
\(c=\frac{a}{h}-b\)Consider the system of linear equations 2- y = kx - y = k (a) Reduce the augmented matrix for this system to row-echelon (or upper-triangular) form. (You do not need to make the leading nonzero entries 1.) (b) Find the values of k (if any) when the system has (a) no solutions, (b) exactly one solution (if this is possible, find the solution in terms of k), (e) infinitely many solutions (if this is possible, find the solutions).
Answers
The system of linear equations has no solutions for any value of k except when k = 2, where it has infinitely many solutions.
(a) To reduce the augmented matrix for the system of linear equations to row-echelon form, we can write the system of equations as:
2 - y = kx
-y = k
To eliminate y in the first equation, we can multiply the second equation by (-1) and add it to the first equation:
(2 - y) - (-y) = kx - k
2 = kx - k
This gives us a new system of equations:
2 = kx - k
Now, we can represent this system in augmented matrix form:
[1 -k | 2]
(b) To find the values of k, we can examine the augmented matrix.
If the system has no solutions, it means that the rows of the augmented matrix result in an inconsistent equation, where the last row has a leading nonzero entry. In this case, for the system to have no solutions, the augmented matrix should have a row of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix [1 -k | 2] doesn't have this form, so there are no values of k that lead to no solutions.
If the system has exactly one solution, the augmented matrix should be in row-echelon form, with each row having at most one leading nonzero entry. In this case, the augmented matrix should not have any rows of the form [0 0 | c], where c ≠ 0. In our case, the augmented matrix can be reduced to row-echelon form as follows:
[1 -k | 2]
From this form, we can see that there are no restrictions on the value of k. For any value of k, the system will have exactly one solution.
If the system has infinitely many solutions, the augmented matrix should have at least one row of the form [0 0 | 0]. In our case, the augmented matrix can be reduced to:
[1 -k | 2]
From this form, we can see that if k = 2, the last row becomes [0 0 | 0]. Therefore, for k = 2, the system will have infinitely many solutions.
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Which equation describes a line passing through (4, -1) and perpendicular to y = 2x - 4?
Responses
y=−1/2x+3
y is equal to negative 1 half x plus 3
y = 2x−9
y = 2x−9
y = −1/2x+1
y = −1/2x+1
y = 2x +6
y = 2x +6
Answers
The equation that describes a line passing through (4, -1) and perpendicular to y = 2x - 4 is y = 2x +6, y = 2x +6. The correct option is D.
What is a graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Perpendicular lines have the same negative reciprocal slope as the line they are perpendicular to, which is important information to know.
This indicates that you may calculate the slope of the perpendicular line by taking the slope of the first line, adding a negative sign, and switching the numerator and denominator.
Therefore, the correct option is D. y = 2x +6, y = 2x +6.
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2916=4w^6
Find the real solutions to the equation.
Answers
Answer:
3
Step-by-step explanation:
2916=4w^6
or,54^2=(2w^3)^2
or,54=2w^3
or,54/2=w^3
or,27=w^3
or,3√27=w
or,3√3^3=w
or,w=3 answer
Nancy makes green bracelets, g, and red bracelets, r. She sells each green bracelet for $5 and each red bracelet for $3. Which expression represents the total amount of money Nancy makes selling bracelets?
A.
5g + 3r
B.
5r + 3g
C.
5 + g + 3 + r
D.
5 × 3 + r × g
Answers
Answer:
Step-by-step explanation
GIVEN,
COST OF GREEN BRACELETS SOLD - 5$--G
COST OF RED BRACELETS SOLD - 3$--R
SO THE ANSWEAR IS 5G+3R
Elena and her friends order a 24-slice party pizza. She and her friends eat 2/3 of the
pizza. How many slices do they eat altogether .
Answers
Answer:
16 slices
Step-by-step explanation:
24* 2/3 = 16