The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
To find the pseudoinverse of a matrix A, the first step is to take the singular value decomposition (SVD) of A, which can be written as A = UΣV^T, where U and V are orthogonal matrices and Σ is a diagonal matrix with nonnegative singular values. The pseudoinverse of A is given by A^+ = VΣ^+U^T, where Σ^+ is the same as Σ except that the nonzero elements of Σ are replaced by their inverses.
Next, the projection matrices are given by AtA and AA+, which are used to project a vector onto the column space and the row space of A, respectively.
The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
Whether a solution is exact or unique depends on the rank of A and the number of linearly independent columns and rows. If the rank of A is equal to the number of columns, then the solution is unique, otherwise, the solution may not be unique.
Therefore, The "best" solution z+ = A^+b is the one that minimizes the 2-norm of the residual vector r = b - Az. In general, not all right-hand sides b will have a unique solution z+, and even if there is a solution, it may not be exact (i.e., Az ≠ b).
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Given the graph of the function F(x) below, what happens to F(x) when x goes from 0 to 1?   A. F(x) is a negative number with a small absolute value.  B. F(x) is a negative number with a large absolute value.  C. F(x) is a very small positive number.  D. F(x) is a very large positive number. ASAP PLEASE TIMED TESR
Answer:
I think that b or c I believe
approximate the sum of the series correct to four decimal places. [infinity] (−1)n 2nn! n = 1 s ≈
The sum of the series correct to four decimal places is 7.0000
To approximate the sum of the series, we can use the ratio test. The ratio test states that if the limit of the ratio of consecutive terms approaches a number L, then the series converges if |L| < 1 and diverges if |L| > 1.
The nth term of the series is given by
[tex]T_n = (-1)^n (3n)(n!)[/tex]
The consecutive terms is
[tex]R_n = T_{n+1}/T_n = (-1)^{n+1} (3n+3)(n+1) / (-1)^n (3n)(n!) \\= (-1)^{n+1} * 3 * (n+1) / (n!)[/tex]
Taking the limit as n approaches infinity:
[tex]L = lim_{n - > \infty} \ R_n = lim_{n - > \infty} (-1)^{n+1} * 3 * (n+1) / (n!)[/tex]
Since [tex](-1)^{n+1}[/tex] alternates between -1 and 1, the limit approaches 0 and |L| < 1, which means the series converges.
To approximate the sum of the series, we can use a numerical method such as the Euler-Maclaurin formula. The formula approximates the sum of an infinite series by the sum of its first few terms and the remainder term:
[tex]\Sigma_n^\infty=1T_n \approx \Sigma_{i=1}^m T_i + R_m[/tex]
where [tex]R_m[/tex] is the remainder term that decreases as m increases
For example, let's choose m = 5:
[tex]\Sigma_{i=1}^5 T_i = T_1 + T_2 + T_3 + T_4 + T_5[/tex]
= -3! + (-1) * 3 * 2! + (-1) * 2 * 3 * 1! + (-1) * 3 * 4! + (-1) * 4 * 3 * 2! = -6 + 6 - 2 + 24 - 24 = -2
The remainder term [tex]R_m[/tex] can be estimated using the Euler-Maclaurin formula:
[tex]R_m = -B_{2m} / (2m)! * T_{m+1}[/tex]
where B_k are the Bernoulli numbers.
For [tex]m = 5, B_2m = B_{10} = -1/252[/tex], so
[tex]R_m = -B_{10} / (10)! * T_{m+1} = -1/252 * (-1)^6 * 3 * 6! = 1/252 * 3 * 720 = 9[/tex]
Therefore, the sum of the series is approximately
[tex]\Sigma_{i=1}^\Infty T_i \approx \Sigma_{i=1}^5 \ T_i + R_m \\= -2 + 9 = 7[/tex]
To four decimal places, this is 7.0000
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pls this is urgent hurryyy
Answer:
Step-by-step explanation:
Thats true
need help with homework lines and transversal
Measure of all the angles shown in diagram are, 124°.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
We have to given that;
Angles shown in figure.
Now, By definition of alternate angles of parallel lines we get;
⇒ 10x + 14 = 15x - 41
Solve for x;
⇒ 14 + 41 = 15x - 10x
⇒ 55 = 5x
⇒ x = 55/5
⇒ x = 11
Thus, Measure of angles are,
⇒ 10x + 14 = 10 × 11 + 14
= 110 + 14
= 124
⇒ 15x - 41 = 15 × 11 - 41
= 165 - 41
= 124
Thus, Measure of all the angles shown in diagram are, 124°.
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What’s the answer to this
The sequence of transformations that will map polygon JKLM onto polygon YXWZ is given as follows:
A translation by <-6, -5>, then a rotation 90º counterclockwise about the origin, and a reflection across the y-axis.
How to obtain the transformation?The vertices of polygon JKLM are given as follows:
J(-4,1), K(0,0), L(2,2) and M(0,-6).
The equivalent vertices on polygon YXWZ are given as follows:
Y(6,2), X(5,6), W(7,8), Z(-1,6).
Hence the composite rule for the y-coordinate is given as follows:
x + 6.
Which means that at some point y = x, hence there was a 90º counterclockwise rotation.
The addition to 6 means that there was a translation adding/subtracting 6 to the x-coordinate, hence the last option is correct.
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The series of transformation that maps the polygon JKLM to the polygon YXWZ are;
A rotation 90° about the origin, then a reflection about the x-axis and a translation by (5, 6)
What is a transformation of a geometric figure?A transformation involves the change in the position, size, shape of orientation of a geometric figure.
The coordinates of the vertices of the polygon JKLM are; J(-4, 1), K(0, 0), L(2, 2), and M(0, -6)
The coordinates of the vertices of the polygon YXWZ are; Y(6, 2), X(5, 6), W(7, 8), and Z(-1, 6)
Point J in JKLM corresponds to point Y in YXWZ
A rotation of point J 90° clockwise produces the image, (1, 4)
A reflection of the point (1, 4) across the x-axis produces an image at the point (1, -4)
A translation (5, 6), produces the point (6, 2)
Therefore, the series of rigid transformations that maps the image YXWZ, from the preimage JKLM are;
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Use guess and check to find an anti-derivative
F(x)
for
f(x)=sin(x)cos(x)
. Explain why you chose particular guesses, and how you checked them.
When finding an antiderivative using the method of guess and check, it is important to use a guess that is based on the original function and the rules of differentiation.
One approach to finding an antiderivative of a function is the method of guess and check. This involves making an educated guess for the antiderivative and then verifying it by taking the derivative of the guess and comparing it to the original function.
To find the antiderivative of f(x) = sin(x)cos(x), we can start with a guess based on the product rule for differentiation: d/dx (uv) = u * dv/dx + v * du/dx
Since f(x) = sin(x)cos(x), we can write: d/dx (sin(x)cos(x)) = cos^2(x) + sin^2(x) = 1
This suggests that the antiderivative of f(x) = sin(x)cos(x) might be: F(x) = sin(x)sin(x) + C, where C is an arbitrary constant of integration.
To check our guess, we need to take the derivative of F(x) and compare it to the original function f(x): d/dx (sin(x)sin(x) + C) = cos(x)sin(x)
If our guess is correct, the derivative of F(x) should equal f(x). However, in this case, our guess does not match the original function f(x), so we need to make another guess. A second guess could be:
F(x) = -cos(x)cos(x) + C
Taking the derivative: d/dx (-cos(x)cos(x) + C) = -sin(x)cos(x)
This time, the derivative of F(x) does match the original function f(x), so our guess is correct and the antiderivative of f(x) = sin(x)cos(x) is:
F(x) = -cos(x)cos(x) + C.
Thus, In conclusion, when finding an antiderivative using the method of guess and check, it is important to use a guess that is based on the original function and the rules of differentiation. By checking the derivative of the guess and comparing it to the original function, we can determine whether or not our guess is correct.
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Determine the sum of the solutions to:
For the quadratic equation 5x² - 16x + 3 = 0, the sum of solutions is 3.02.
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.
The quadratic expression is given as -
5x² - 16x + 3 = 0
The expression is written in the form ax² + bx + c
Where a = 5, b = -16 and c = 3
Use the quadratic formula -
x = [-b ± √(b² - 4ac)] / 2a
Substitute the values into the formula -
x = [-(-16) ± √{(-16)² - 4(5)(3)}] / 2(5)
x = [16 ± √{256 - 60}] / 10
x = [16 ± √196] / 10
x = [16 + √196] / 10 and x = [16 - √196] / 10
x = [16 + 14] / 10 and x = [16 - 14] / 10
x = 30/10 and x = 2/10
x = 3 and x = 0.2
The solutions are x = 3 and x = 0.2.
The sum of solutions are = 3 + 0.2 = 3.02
Also, the formula for sum of solutions for a quadratic equation is -b/a.
Sum of solutions = -(-16) / 5
Sum of solutions = 16 / 5
Sum of solutions = 3.02
Therefore, the sum of solutions is 3.02.
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Complete question:
Determine the sum of the solutions to:
5x² - 16x + 3 = 0
Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 4 times the distance from p to the yz-plane.
The equation that represents the distance is -25x² + y² + z² = 0
What is an Equation in Math?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. A mathematical statement called an equation demonstrates the equality of two mathematical expressions.Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.Equations can be divided into the three categories of linear equations, quadratic equations, and cubic equations depending on their degree.Given data :
The distance between two points, is the number of units between them.
The equation that represents the distance is -25x² + y² + z² = 0
The distance between a point and the x-axis is represented as:
D = ( y² + x² ) [tex]\frac{1}{2}[/tex]
From the question, we have:
D = 5x
Equate both expressions for D
5x =- ( y² + z² ) [tex]\frac{1}{2}[/tex]
Square both sides
25x² = y² + z²
Equate to 0
y² + z² - 25x² = 0
Rewrite as:
-25x² + y² + z² = 0
Hence, the equation that represents the distance is -25x² + y² + z² = 0
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quires 2 1/2 feet of wood. She has a total of 13 feet of wood. What is the greatest number of birdhouses could
The required number of birdhouses can be made through the 13 feet of wood are 5 birdhouses.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
A birdhouse consists of 2 1/2 feet of wood,
he has a total of 13 feet of wood.
Number of birdhouses
= ratio of wood total length / used to build one birdhouse
= 13 / [2 /1/2]
= 5.2
≈ 5
Thus, the required number of birdhouses can be made through the 13 feet of wood are 5 birdhouses.
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(0)
Consider the following two probability distributions: Distribution A Distribution
B x P(x) x P(x)
0 0.20 0 0.01
1 0.20 1 0.02
2 0.20 2 0.94
3 0.20 3 0.02
4 0.20 4 0.01
Which of the following is an accurate statement regarding these two distributions?
a. Distribution A has a higher variance.
b. Distribution B has a higher variance.
c. Both distributions are positively skewed.
d. Both distributions are uniform.
b. Distribution B has a higher variance is an accurate statement regarding these two distributions.
Variance is a measure of the spread of a probability distribution. It tells us how far away from the mean values in the distribution are. The higher the variance, the more spread out the values are.
In this case, Distribution B has a higher variance than Distribution A. To calculate the variance of a distribution, we use the formula:
[tex]$$\sigma^2 = \sum_{i=1}^{n} (x_i - \mu)^2 \cdot P(x_i)$$[/tex]
Where [tex]$x_i$[/tex] is a possible value, [tex]$P(x_i)$[/tex] is the probability of that value, and [tex]$\mu$[/tex] is the mean of the distribution. If we use this formula to calculate the variance of each distribution, we'll find that the variance of Distribution B is larger than the variance of Distribution A.
This means that the values in Distribution B are more spread out and less consistent than the values in Distribution A, making Distribution B have a higher variance.
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How Big Is A 16 Inch Pizza? (Slices, Servings, Size, And Total Calories)
A 16-inch pizza might serve 10–12 people if you're providing a meal with sides and appetizers.
What is meant by Total Calories?A few easy calculations are needed to do this. First, double your present weight by 15, which is about how many calories per pound of body weight you need to maintain if you are moderately active.The Katch-McArdle Formula may be more accurate for persons who are slimmer and are aware of their body fat %, but the Mifflin-St. Jeor Equation is generally regarded as the most accurate equation for estimating BMR.If the food item you are consuming has 20g of protein, 35g of carbohydrates, and 15g of fat, you would multiply those amounts by 20x4, 35x4, and 15x9 to determine the number of calories each macronutrient contributes—80, 140, and 135 respectively.Therefore, the correct answer is serve.
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How many ways can 3 baseball players and 5 basketball players be selected from 12 baseball players and 12 basketball players ?
Many ways can 3 baseball players and 5 basketball players be selected from 12 baseball players and 12 basketball players are 173040 ways.
This is a combination problem, and we want to find the number of ways to choose 3 baseball players and 5 basketball players from a pool of 12 baseball players and 12 basketball players.
The formula for combinations is: C(n, k) = n! / (k! (n - k)!).
For the baseball players, n = 12 and k = 3, so C(12, 3) = 12! / (3! (12 - 3)!) = 12! / (3! 9!) = 220.For the basketball players, n = 12 and k = 5, so C(12, 5) = 12! / (5! (12 - 5)!) = 12! / (5! 7!) = 792.The total number of combinations is the product of the number of combinations for each group, so 220 * 792 = 173040.
Therefore, there are 173040 ways to choose 3 baseball players and 5 basketball players from a pool of 12 baseball players and 12 basketball players.
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if x represents quantity and y represents the quantity which of the tables below represnt a direct proportion
question 7 what function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find? 1 point the geom point() function the geom jitter() function the geom bar() function the geom smooth() function
The correct option is (C) The geom_jitter() function.
The jitter geom is a convenient shortcut for geom_point(position = "jitter"). It adds a small amount of random variation to the location of each point, and is a useful way of handling overplotting caused by discreteness in smaller datasets.
geom_jitter(mapping = NULL, data = NULL, stat = "identity",
position = "jitter", ..., width = NULL, height = NULL, na.rm = FALSE,
show.legend = NA, inherit.aes = TRUE)
Since we want points to be jittered and dodged, we can use geom_point with position_jitterdodge (). Make sure to specify the "group" variable: this graph specifies three potential grouping variables (cluster, region, cd_code), and position_jitterdodge can't tell which two to use unless specified.
The geom_jitter() function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find.
Thus, the correct option is (C) The geom_jitter() function.
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The correct option is (C) The geom_jitter() function.
The jitter geom is a convenient shortcut for geom_point(position = "jitter"). It adds a small amount of random variation to the location of each point, and is a useful way of handling overplotting caused by discreteness in smaller datasets.
geom_jitter(mapping = NULL, data = NULL, stat = "identity",
position = "jitter", ..., width = NULL, height = NULL, na.rm = FALSE,
show.legend = NA, inherit.aes = TRUE)
Since we want points to be jittered and dodged, we can use geom_point with position_jitterdodge (). Make sure to specify the "group" variable: this graph specifies three potential grouping variables (cluster, region, cd_code), and position_jitterdodge can't tell which two to use unless specified.
The geom_jitter() function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find.
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How do you guess the limit of (7n^3 +8n) / (2n^3 - 31) and prove that your guess is correct using the ε-N approach?
By using the ε-N approach, the value of the function is 2.71828.
The ε-N approach is a mathematical tool used to determine the limit of a function as the independent variable approaches infinity or zero.
In this problem, we are asked to guess the limit of
=> (7n³ +8n) / (2n³ - 31)
as n approaches infinity.
To do this, we need to use the ε-N approach. The first step is to make an educated guess about the limit.
Next, we use the ε-N approach to prove our guess is correct.
This involves finding an ε (epsilon) value, which is a small positive number, and an N value, which is the input value for n, such that for all n greater than N, the absolute value of the difference between the function and the limit is less than ε.
To use various symbols to denote the Epsilon values too because Epsilon has no interest in the meaning of its own like other mathematical symbols like π(pi) and it has the value 3.14.
Here the symbol e and has value 2.71828.
This means that the function is arbitrarily close to the limit.
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A truck that is 10 ft. by 12 ft. by 14 ft. carries cube shaped boxes that
have a length of 2.5 ft. How many of these boxes can this truck hold?
Round your answer to the nearest whole number.
*10
Answer:
108
Step-by-step explanation:
The volume of the truck is 10*12*14=1680
So, answer = the volume of the truck / the volume of a cube
answer= 1680/15.625=107.52 = 108.
if event a and event b cannot occur at the same time, then events a and b are said to be a. mutually exclusive b. positively correlated c. jointly determined d. collectively exhaustive e. statistically independent
If event a and event b cannot occur at the same time, then events a and b are said to be a. mutually exclusive.
ABOUT PROBABILITYProbability and Statistics are two basic concepts in the branch of Mathematics. Probability is all about the likelihood of an event, whereas statistics is more about how we handle various data using different techniques.
By using probability and statistics, you can process complex data in a way that is very easy to understand.
Probability is one of the topics that often comes up when discussing statistics. The reason is, this one theory is commonly used when trying to predict something.
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what is 9 minus 9 divided by 9 plus 9 minus 9 divided by 9
predict the sign of δsol for the solution
The sign of δsol for the solution will depend on the concentration of the solute and the temperature.
The sign of δsol for the solution will depend on two main factors: the concentration of the solute and the temperature. If the concentration of the solute is increased, the solute's tendency to dissolve in a solvent will also increase, resulting in a higher solubility. This increase in solubility will cause the sign of δsol to be positive. On the other hand, if the temperature is increased, the solubility of the solute will decrease, resulting in a decrease in the solubility. This decrease in solubility will cause the sign of δsol to be negative. Therefore, the sign of δsol for the solution will depend on the concentrations of the solute and the temperature. If the concentration of the solute is increasing, the sign of δsol will be positive; if the temperature is increasing, the sign of δsol will be negative.
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What kind of transformation is the function h(n) = 2(0. 8)n from the original function, h(n) = 10(0. 8)n?
A a vertical compression
B a vertical stretch and reflection
C a vertical stretch
D a vertical compression and reflection
The transformation of h(n) = 2(0.8)n from the original function, h(n) = 10(0.8)n, is a vertical compression.
Hence, option (a) is correct choice.
In a vertical compression, the graph of the transformed function is obtained by multiplying the y-coordinates of the points on the graph of the original function by a constant factor less than 1.
In this case, the factor is 2/10 = 1/5, which is less than 1, so the transformation is a vertical compression.
It is not a vertical stretch and reflection because the factor is less than 1, so it is not stretching the graph.
It is not a vertical stretch because the factor is less than 1, so it is not stretching the graph.
It is not a vertical compression and reflection because the factor is positive, so it is not reflecting the graph.
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Samantha is making bows. Each bow is made from a piece of ribbon that is 1\2 yards long. How much ribbon would she need to make 19 bows?
Answer:
9.5
Step-by-step explanation:
She would need 9.5 yards of ribbon to make 19 bows, since 1/2 * 19 = 9.5
70:5:25 in simplest forms
Answer:
14:1:5
because of [tex]\frac{70}{5} =14\\\\\frac{5}{5}=1\\ \\\frac{25}{5}=5[/tex]
Cameron baked two pans of brownies for the school bake sale. She couldn't wait and ended up eating 1/6 of a pan. How many brownies does she have left
Cameron is left with 11/6 of a pan by using mathematical operation known as subtraction.
Given,
Total number of brownies = 2 pans
Cameron ate = 1/6 of a pan
In this question we will be using mathematical operation known as subtraction.
Subtraction is an arithmetic operation that involves finding the difference between two numbers. In other words, it is the process of removing a quantity from another. It is a fundamental mathematical concept that is widely used in everyday life, from calculating the change from a purchase to determining the difference between two quantities. Subtraction can be performed with whole numbers, decimals, fractions, and even with negative numbers. In all cases, the process of subtraction involves aligning the numbers to be subtracted, either vertically or horizontally, and then subtracting the smaller quantity from the larger one.
Brownies left = 2 pans - 1/6 of pan
= 12/6 -1/6
= 11/6 pan
Hence, she is left with 11/6 of a pan to eat.
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a positive point charge q is at the center of a spherical shell of radius r carrying charge 2q distributed uniformly over its surface. (A) Write an expression for the electric field strength at 1/2 R.
(B) Write an expression for the electric field strength at 2R.
The expression for the electric field strength at 1/2 R is E = [tex]\frac{8 \times \pi\times k \times q \times r^2 }{(1/2R)^2}[/tex], and the expression for the electric field strength at 2R is E = [tex]\dfrac{ 2 \times \pi \times k \times q \times r^2 }{(2R)^2}[/tex]
The spherical shell is what?A spherical shell in geometry is a three-dimensional version of an annulus. It is the area of a ball that lies between two concentric spheres with various radii.
(A) The equation E = k × q / r2 can be used to determine the electric field strength at a point P outside of a uniformly charged sphere, where k is the Coulomb constant, q is the charge, and r is the distance between the point P and the sphere's centre.
For a spherical shell of radius r carrying charge 2q, the total charge on the shell can be considered as 2 × 4 × π × r² × q, where q is the surface charge density on the shell.
The electric field strength at 1/2R can be calculated using this formula as follows:
E = [tex]\dfrac{k \times (2 \times 4 \times \pi \times (r^2) \times q)}{((1/2R)^2)}[/tex]
[tex]= \dfrac{8 \times \pi\times k \times q \times r^2 }{(1/2R)^2}[/tex]
(B) Similarly, the electric field strength at 2R can be calculated as:
E = [tex]\dfrac{k \times (2 \times 4 \times \pi \times (r^2) \times q)}{(2R)^2}[/tex]
[tex]= \dfrac{ 2 \times \pi \times k \times q \times r^2 }{(2R)^2}[/tex]
Hence, the expression for the electric field strength at 1/2 R is E = [tex]\frac{8 \times \pi\times k \times q \times r^2 }{(1/2R)^2}[/tex], and the expression for the electric field strength at 2R is E = [tex]\dfrac{ 2 \times \pi \times k \times q \times r^2 }{(2R)^2}[/tex]
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solve this trigonometry problem
so this how this problem is done hope you understood
¿cuánto ganaría un accionista que tiene 100 acciones, si cada acción que él compró aumenta de $20. 00 a $30. 00?
Assuming 100 transactions, the investor will receive $1,000.
Explicación paso a paso:
The difference between the values of each action represents the gain or loss of each action; if this difference decreases, a loss would be apparent.
Gain = Increase in each action times the number of actions
Capital of the Acionista in Acciones = Cantidad of Acciones * Acción Value
If each share the investor purchased rises from $20 to $30
$30 - $20 = $10 profit per action
Assuming 100 transactions, the investor will receive $1,000.
100* $10 = $100
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The question is:
How much money would a shareholder with 100 shares make if each one grew in value from $20 to $30?
A sequence can be generated by using an=4an−1, where a1=7 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
4, 28, 196
7, 28, 112
4, 11, 18
7, 11, 15
Answer: 7, 28, 112
Step-by-step explanation: The first three terms in the sequence can be found by using the formula an = 4an-1, starting with the initial value a1 = 7:
a2 = 4a1 = 4 * 7 = 28
a3 = 4a2 = 4 * 28 = 112
So, the first three terms in the sequence are 7, 28, 112.
Question 2 (1 point)
Which of the following statements describes a correct method for solving this equation?
3+2x = 5
A.Divide both sides of the equation by 5, and then add 2 to both sides.
B.Divide both sides of the equation by 5, and then subtract 2 from both sides.
C.Subtract 3 from both sides of the equation, and then divide both sides by 2.
D.Add 3 to both sides of the equation, and then divide both sides by 2.
Answer:
Answer is (C) .....
Subtract 3 from both sides of the equation, and then divide both sides by 2.
The set of 6 dining chairs together cost $1845.00. The 6 chairs were sold to make a profit of 100%. How much was the selling price of the 6 chairs?
The selling price of the 6 dining chairs is $3690
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
6 dining chairs together cost $1845.00. The chairs were sold to get a profit of 100%. Let x represent the selling price
The formula needed is:
Profit = [(selling price - cost price)/cost price] * 100%
Hence, substituting:
100% = [(x - 1845]/1845] * 100%
(x - 1845]/1845 = 1
x - 1845 = 1845
x = 3690
The selling price is $3690
Find out more on equation at: https://brainly.com/question/2972832
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Combine like term (combine the poitive term and combine the negative term). 18-6-155-91
The combined like terms are -234.
Combining like terms means adding or subtracting any expressions that have the same variable. For example, in the expression:
2x + 3xThe terms 2x and 3x have the same variable (x), so they can be combined to form 5x.
Similarly, in the expression:
4y - 7yThe terms 4y and -7y have the same variable (y), so they can be combined to form -3y. The goal of combining like terms is to simplify expressions and make them easier to understand and manipulate.
In this case, the first two terms, 18 and -6, have no variable, so they can be combined to form 12. The next two terms, -155 and -91, also have no variable, so they can be combined to form -246. Finally, the combined terms, 12 and -246, can be combined to form -234. So, the final result is:
18 - 6 - 155 - 91 = -234.Learn more about combine like terms here: brainly.com/question/15894738
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