Does anyone know how to solve 3 by 3 linear systems?

In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.

x-y-2z=4 (1)

-x+3y-z=8 (2)

-2x-y-4z=-1 (3)

Answer:

The answer is B

Step-by-step explanation:

Find the axis of symmetry

Use the formula -b/2a

2x^2-8x+6

- (-8)/2(2)

8/4

2

The axis of symmetry is at x=2, which means that the vertex is at x=2

Substituting x=2 into the quadratic:

2(2)^2-8(2)+6

2*4-16+6

8-16+6

-2

The vertex is at (2,-2)

The graph where this applies is B.

Therefore, the answer is B.

Answer:

The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).

=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1

=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2

=> M(-1, 3/2)

Hope this helps!

:)

Answer:

( -1, 3/2)

You insert your variables into the midpoint formula in order for you to get the right answer

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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Answer:

B

Step-by-step explanation:

Basically you are dividing X by 4, meaning the number of boxes, if you took all the mugs out of the boxes there are 55 mugs.

Answer:

5,386,830

Step-by-step explanation:

Answer: 6 and 7

Step-by-step explanation:

\(36 < 37 < 49\\\\\implies \sqrt{36} < \sqrt{37} < \sqrt{49}\\\\\therefore 6 < \sqrt{37} < 7\)

The possibility are 1,716 possible ways to cast the roles of Larry, Curly, and Moe from a group of 13 actors.

There are 13 actors auditioning for the roles of Larry, Curly, and Moe, there are 13 choices for who can be cast in the first role, 12 choices left for who can be cast in the second role, and 11 choices left for who can be cast in the third role (assuming that no actor can play more than one role).

To determine the number of ways the roles of Larry, Curly, and Moe could be cast with 13 different actors auditioning, we can use the concept of permutations.

In this case, we have 13 actors and 3 roles to fill, so we calculate it as follows:

Permutations = 13 * 12 * 11 Permutations

= 1,716

So, there are 1,716 different ways the roles of Larry, Curly, and Moe could be cast from the 13 actors auditioning.

Therefore, the number of ways the roles can be cast is:

13 x 12 x 11 = 1,716

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Answer:

1.09

Step-by-step explanation:

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

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Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

\( { \sin }^{2} theta \: + {cos}^{2}theta = 1\)

\( {cos}^{2} \: theta = 1 - {sin}^{2} \: theta\)

\(cos \: theta = \sqrt{1 - { \sin }^{2}theta } \)

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

Lengths of time it takes for new light bulbs to burn out are an example of continuous numerical data type.

Quantitative information that can be measured precisely and that can take on any value within a range is known as continuous numerical data. Measurements of length, time, weight, temperature, and many other quantifiable physical qualities are examples of continuous numerical data.

Continuous numerical data can have any value as long as it falls within a specified range, and using mathematical operations like addition, subtraction, multiplication, and division, it is possible to compare and analyze the numbers.

Since it alludes to a continuous range of precise numerical values. The duration of time in this scenario is expressed in hours, minutes, or seconds and can have any value within a specific range, for example, 0.5 hours, 1.25 hours, 2.75 hours, and so on.

Numerical data types like float and decimal can be used to represent continuous numerical data.

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The equation of the given polynomial is; x⁴ - 3x³ - 7x² + 27x - 18

We are given the zeros of the polynomial as 1, 2, 3, and -3. Thus, the factors of the polynomial are;

(x - 1), (x - 2), (x - 3), (x + 3)

Thus, the equation of the polynomial will simply be the product of the four given factors of the polynomial to get;

(x - 1)(x - 2)(x - 3)(x + 3)

Let us multiply the first 2 and the last to to get;

(x² - 3x + 2)(x² - 9)

= x²(x² - 3x + 2) - 9(x² - 3x + 2)

= x⁴ - 3x³ + 2x² - 9x² + 27x - 18

= x⁴ - 3x³ - 7x² + 27x - 18

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Answer:

2/3(x+9)=22

Step-by-step explanation:

Answer:

1.12 2.12.gg

Step-by-step explanation:

1 and 2. ggg dude ytsr5e3uvrrhitghhbnnmkooyffrrcchutddb

the equation is of the form y = mx + b, where m = 2, then

for b:

equation is

answer: C.

The standard deviation of McDonovan, Inc.'s stock returns is approximately 19.54%.

To calculate the standard deviation for McDonovan, Inc.'s stock returns using the provided information, we can use the following steps:

1. Assign weights to each return based on their respective probabilities.

Boom: Probability = 0.20, Return = 0.40

Normal: Probability = 0.60, Return = 0.15

Recession: Probability = 0.20, Return = -0.20

2. Calculate the expected return by taking the weighted average of the returns.

Expected Return = (0.20 × 0.40) + (0.60 × 0.15) + (0.20 × -0.20) = 0.09 or 9%

3. Calculate the squared difference between each return and the expected return.

Boom: (0.40 - 0.09)² = 0.1296

Normal: (0.15 - 0.09)² = 0.0036

Recession: (-0.20 - 0.09)² = 0.0736

4. Calculate the variance by taking the weighted average of the squared differences.

Variance = (0.20 × 0.1296) + (0.60 × 0.0036) + (0.20 × 0.0736) = 0.03808

5. Take the square root of the variance to obtain the standard deviation.

Standard Deviation = √(0.03808) = 0.1954 or 19.54%

Therefore, the standard deviation of McDonovan, Inc.'s stock returns is approximately 19.54%.

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For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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Answer:

B

Step-by-step explanation:

because you have a number multiplied 3 times, and you subtract 4 to that, which results in 4 less than 3 times a number

Answer:

x=2, x=-3, or x=3.5

Step-by-step explanation:

Make them all in 3 equations equal to 0. The number of brackets, the number of equations.  

There is no significant difference in the average scores of two groups of SOC 390 students who took Exam 1 in the spring and fall semesters, respectively, as per the two-sample t-test with a p-value of 0.388.

The average score of the spring group of 50 students in SOC 390 on Exam 1 was 80, with a standard deviation of 12, while the average score of the fall group of 52 students was 81, with a standard deviation of 6. To determine if the difference in the means of the two groups is statistically significant, we can use a two-sample t-test.

Assuming unequal variances, the t-value for the two groups is 0.87, with a corresponding p-value of 0.388. Since the p-value is greater than the standard alpha level of 0.05, we fail to reject the null hypothesis that the two groups have equal means.

Therefore, we can conclude that there is no significant difference in the average scores of the two groups of SOC 390 students who took Exam 1 in the spring and fall semesters, respectively.

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The complete question is :

What is the difference between the average scores of two groups of students who took Exam 1 in SOC 390 in the spring and fall semesters, respectively, given that the spring group consisted of 50 students who scored an average of 80 with a standard deviation of 12, and the fall group consisted of 52 students who scored an average of 81 with a standard deviation of 6?

Answer:

below

Step-by-step explanation:

Part A)

The radius of a circle is half of its diameter.

Therefore, the radius of the circle is:

radius = diameter/2 = 8cm/2 = 4cm

So, the radius of the circle is 4cm.

You can also find radius by just dividing the diameter in half, or by 2.

Part B)

The area of a circle can be found using the formula:

Area = πr^2

where π is the mathematical constant pi (approximated as 3.14), and r is the radius of the circle.

Substituting the values given in the question, we get:

Area = πr^2

= 3.14 × (4cm)^2

= 3.14 × 16cm^2

Therefore, the area of the circle is:Area = 50.24cm^2 (rounded to two decimal places)

So, the area of the circle with a diameter of 8cm is 50.24cm^2.

Answer:

7.0564516129

Step-by-step explanation:

Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.

Answer:

$4,363.03

i hope i actually get this right because im doing a test right now in math class

Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

Simple Interest:

\(E = Pit\)

In which:

For American Bank, we have that \(P = 3250, r = 0.04, t = 8\), hence:

\(E = Pit = 3250(0.04)(8) = 1040\)

Compound interest:

\(E = P[(1 + r)^t - 1]\)

For Liberty Savings, we have that \(r = 0.0375\), hence:

\(E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198\)

1198 - 1040 = 158.

He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

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Answer:

4 pages

Step-by-step explanation:

Answer:

thanks for free points :3

Step-by-step explanation:

Solution:

Note that:

Looking at both the triangles, we can say that:

We can do the same with AB and FG.

Answer:

hi

Step-by-step explanation:

how are you

Answer:  A: L: W: H = 10: 5: 8

Step-by-step explanation:  The height of the tank is 18 feet longer than the width

H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet

Hence, L = 10 * 6 = 60 feet

W = 5 * 6 = 30 feet

H = 8 * 6 = 48 feet

Volume = 60 * 30 * 48 = 86400 ft³

Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

The only cardinal number whose letters are in alphabetical order in English is "forty". This word meets the criteria because its letters appear in alphabetical order: "f", "o", "r", "t", "y".
To find the cardinal number with letters in alphabetical order, we need to examine each number individually. Starting from zero, we can see that "zero" does not have letters in alphabetical order. Similarly, "one" and "two" do not meet the criteria. The word "three" has letters in alphabetical order, but it is not a cardinal number. Continuing our search, we find that "forty" is the first and only cardinal number where the letters are arranged in alphabetical order.
In English, the only cardinal number whose letters are in alphabetical order is "forty".

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Answer: True, It it the same as any other function, it just has more numbers than a two number function

Step-by-step explanation:

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...