solve the system of equations by substitution y=1-x; -2x+y=4

Answer:

leta GOOOOOOOOOOOOOOOOO MARIOOO

Step-by-step explanation:

Answer:

\(14x+14y+4\)

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

Answer:

Step-by-step explanation:

In math there is a general rule is  "Like adds like"

1. Identify your common variables (x,y,z)

2. add the common variables

Solution

6x + 5y + 8x -2y +11y +4

x and y variables add

(6x+8x) + (5y-2y + 11y) + 4

14x + 14+ + 4

Answer:

area of square: 2 m²

Explanation:

using Pythagoras theorem, find the side length of the square:

→ a² + b² = c²

→ 1² + 1² = c²

→ c = √2

→ length of one side of square is √2 m

Using square area formula:

→ length²

→ ( √2 )²

→ 2 m²

Solution:

Note that:

Use Pythagoras theorem to find the side of the square.

Now, the area should be x².

The area of the square is 2 m².

The value of the missing angles b and c are 71° and 71° respectively

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

From the diagram:

b + 109 = 180° (angle in a straight line)

b = 71°

b = c (opposite angles are equal)

b = c = 71°

The value of b and c are 71° and 71° respectively

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

P(2,3) thats the answer ;)

Answer:

9, 15, 21, 27

Step-by-step explanation:

Given n=6n+3

When n=1, t= 6(1)+3 =9

When n=2, t=6(2)+3=15

When n=3, t=6(3)+3=21

When n=4, t=6(4)+3=27

SHORT TRICK :

Whenever the value of 'n' is given in the form of an algebraic expression the common difference of the Arithmetic Progrsiion (A.P) is the coefficient of 'n' in the given expression.

Ex: In this Problem,

Given that n=6n+3

The coeeficient of 'n' is '6'

If you obsereve the answer you will also see that the Common difference is also '6'

A number sequence can either be arithmetic or geometric or neither.

The first 4 terms are 9, 15, 21 and 28

Given

\(T_n = 6n + 3\)

First term

This means that n = 1.

So, we have:

\(T_1 = 6 \times 1 + 3\)

\(T_1 = 6 + 3\)

\(T_1 = 9\)

Second term

This means that n = 2.

So, we have:

\(T_2 = 6 \times 2 + 3\)

\(T_2 =12 + 3\)

\(T_2 =15\)

Third term

This means that n = 3.

So, we have:

\(T_3 = 6 \times 3 + 3\)

\(T_3 = 18 + 3\)

\(T_3 = 21\)

Fourth term

This means that n = 4.

So, we have:

\(T_4 = 6 \times 4 + 3\)

\(T_4 = 24 + 3\)

\(T_4 = 27\)

Hence, the first 4 terms are 9, 15, 21 and 28

Read more about number sequence at:

https://brainly.com/question/7043242

the indefinite integral of hx^r with respect to x is (h/(r+1)) * x^(r+1) + c, where c represents the constant of integration.

To evaluate the indefinite integral of hx^r with respect to x, where h is a nonzero constant and r is any real number (except for -1), we can use the power rule for integration. The power rule states that:

∫x^n dx = (1/(n+1)) * x^(n+1) + c

Applying the power rule to hx^r, we have:

∫hx^r dx = (h/(r+1)) * x^(r+1) + c

what is integration?

Integration is a fundamental concept in calculus that involves finding the antiderivative of a function. It is essentially the reverse process of differentiation. Integration allows us to determine the area under a curve, compute the accumulated change in a quantity, solve differential equations, and analyze various mathematical and physical phenomena.

The result of an integration is called an integral, and it represents a family of functions that differ by a constant. The most common symbol used to denote integration is the integral sign (∫).

To know more about integral visit:

brainly.com/question/31433890

#SPJ11

Answer:

112 cm^2

Step-by-step explanation:

Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.

Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.

The encryption algorithm used with our system in a wireless environment is Advanced Encryption Standard (AES). AES is a symmetric key encryption algorithm that is considered one of the most secure encryption methods available. It uses a block cipher with a key size of 128, 192, or 256 bits to encrypt data.

In a wireless environment, AES is used to encrypt data transmitted between the access point and the client device. This helps to ensure that the data is protected from unauthorized access and prevents attackers from intercepting and reading sensitive information.

The AES algorithm works by breaking the input data into blocks and then applying a series of substitution and permutation operations to each block. The result is a ciphertext that is nearly impossible to decrypt without the correct key.

To ensure maximum security, our system uses AES-256 encryption, which is the highest level of AES encryption currently available. This provides an extremely strong level of security and ensures that our users' data remains protected at all times.

Overall, the use of AES encryption in our wireless system provides strong protection against data breaches and ensures that our users can transmit sensitive information without fear of interception or unauthorized access.

To know more about AES encryption, refer to the link below:

https://brainly.com/question/31925688#

#SPJ11

Kuta Software - Infinite Algebra 1 is an educational tool that focuses on providing students with algebra 1 exercises. The software includes a range of topics that cover the fundamentals of algebra 1. One of the topics that the software covers is Adding and Subtracting Polynomials. Adding Polynomials involves combining like terms.

In the case where the polynomials are in descending order, students can start adding or subtracting their respective terms. Similarly, if the polynomials are in ascending order, the students should start with the terms with the highest degree and work their way down. Adding polynomials is relatively easy since it involves combining like terms.

However, when it comes to subtracting polynomials, the process becomes a bit more complicated. The subtraction of polynomials involves changing the sign of the terms to be subtracted. To be able to do this, students can first distribute a negative sign throughout the polynomial, then follow the same procedure they would have followed when adding polynomials to combine like terms.

To know more about Polynomials visit:

https://brainly.com/question/11536910

#SPJ11

Adding and subtracting polynomials in Algebra involves combining or subtracting like terms. For practice, Kuta Software provides various activities. An example is given to demonstrate the process.

Adding and subtracting polynomials is a key concept within the subject of Algebra 1. Kuta Software is a common educational platform that offers a variety of activities for practicing this skill. In essence, to add or subtract polynomials, you combine or subtract like terms, which are terms with the same variable and exponent. For example, if you were to add the polynomials 3x^2 + 2x and 5x^2 - 2x, you would combine the x^2 terms and the x terms separately, resulting in (3x^2 + 5x^2) + (2x - 2x), which simplifies to 8x^2.

https://brainly.com/question/35934946

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

Learn more about simple support from

https://brainly.com/question/31510469

#SPJ11

The probability that a test taker chosen at random takes 9 minutes or more to read the article is 0.38. Rounded to four decimal places, this is 0.3800.

To find the probability that a test taker chosen at random takes 9 minutes or more to read the article, we need to calculate the integral of the probability density function f(t) from 9 to 10 (since t is between 0 and 10).
∫(9 to 10) 0.012t^2 − 0.0012t^3 dt
Using the power rule of integration, we get:
[0.004t^3 - 0.0003t^4] from 9 to 10
Substituting the limits, we get:
[0.004(10)^3 - 0.0003(10)^4] - [0.004(9)^3 - 0.0003(9)^4]
Simplifying, we get:
0.38

Learn more about integration in probability: https://brainly.com/question/30570293

#SPJ11

The indefinite integral of \(\int\limits {x^2cos(x)} \, dx\) is :

\(\int\limits x^{2} cosx \,dx = x^{2} sinx +2x cos x - 2sinx +C\)

Integration by parts is used to integrate the product of two or more functions. The two functions to be integrated f(x) and g(x) are of the form ∫f(x)·g(x). Thus, it can be called a product rule of integration.

The Integration By Parts Formula is:

\(\int\limits {u} \, dv=uv -\int\limits {v} \,du\)

Consider the integral:

\(\int\limits {x^2cos(x)} \, dx\)

To solve by using the integration by parts.

Let us assume, according to the formula:

\(u = x^2, dv = cosx \,dx\)

Differentiate w.r.t x

du = 2x dx  and v = sin x

So, we have:

\(\int\limits {x^2cos(x)} \, dx=x^{2} sinx-\int\limits {sinx(2xdx)}\)

\(\int\limits {x^2cos(x)} \, dx=x^{2} sinx-2\int\limits x{sinx} \,dx\)

Again, Consider :

\(\int\limit {x}sinx \, dx\)

Let u = x and dv = sinx dx

du = dx  and v = -cos x

\(\int\limits {u} \, dv=uv -\int\limits {v} \,du\)

\(\int\limits {x}sinx \, dx=x(-cosx)- \int\limits (-cosx) \,dx\)

                \(=-x cosx + sinx\)

\(\int\limits x^{2} cosx \,dx = x^{2} sinx - 2 (-x cosx + sinx) + C\\\\\int\limits x^{2} cosx \,dx = x^{2} sinx +2x cos x - 2sinx +C\)

Learn more about Integration by parts at:

https://brainly.com/question/22747210

#SPJ4

Answer:

A. is the correct answer

Step-by-step explanation:

Stay safe.

$57 is the amount of the tip the server hopes to receive.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A server at a restaurant is hoping for a 15% tip from a large party.

The party's bill at the end of the night was $312.00.

Now we need to find 15% of $312

15% is converted to decimal by dividing with 100

15/100=0.15

Now multiply 0.15 with 380

0.15×380

57

Hence $57 is the amount of the tip the server hopes to receive.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Considering the capacity of each cup, the inequality that models the situation is:

D) 14x + 8y ≤ 192

From the bullet-point, the total amount that can be held is:

\(T = 14x + 8y\)

She has enough supplies to make a maximum of 192 ounces of lemonade, hence:

\(T \leq 192\)

\(14x + 8y \leq 192\)

Hence option D is correct.

To learn more about inequalities, you can take a look at https://brainly.com/question/25738340

The test results indicate that the mean GPA of night students is significantly lower than 3, at a significance level of 0.05. This is based on a sample of 65 students, with a sample mean of 2.97 and a standard deviation of 0.06. The calculated test statistic is -4.08, with a p-value of 0.00004, which is less than the significance level. Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean GPA of night students is smaller than 3.

Based on the given information, we need to test the claim that the mean GPA of night students is smaller than 3 at a significance level of 0.05. The null and alternative hypotheses are H0:μ=3 and H1:μ≠3.

The sample size is 65, and the sample mean GPA is 2.97 with a standard deviation of 0.06. We need to calculate the test statistic and the p-value to determine if we reject or fail to reject the null hypothesis.

Using a two-tailed test, the test statistic is calculated as (2.97-3)/(0.06/sqrt(65)) = -4.08 (to 2 decimals). From the z-table, the p-value for a z-score of -4.08 is approximately 0.00004 (to 2 decimals).

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean GPA of night students is smaller than 3.

Visit here to learn more about null hypothesis:

brainly.com/question/4436370

#SPJ11

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

To know more about expressions visit :

https://brainly.com/question/28170201

#SPJ11

Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2

To find the expected number of sixes appearing on three die rolls, we can calculate the probability of rolling a six on each individual roll and then multiply it by the number of rolls.

The probability of rolling a six on a single roll of a fair die is 1/6, since there are six equally likely outcomes (numbers 1 to 6) and only one of them is a six.

Since the rolls are independent events, we can multiply the probabilities together to find the probability of rolling a six on all three rolls:

(1/6) * (1/6) * (1/6) = 1/216

Therefore, the probability of rolling a six on all three rolls is 1/216.

To find the expected number of sixes, we multiply the probability by the number of rolls:

Expected number of sixes = (1/216) * 3 = 1/72

So, the expected number of sixes appearing on three die rolls is 1/72.

To know more about probability click here: brainly.com/question/31828911

#SPJ11

It is not possible to determine who biked the fastest from p.m. to p.m. without additional information such as the distance traveled, the route taken, and the starting and ending points.

The statement is incomplete and lacks vital information needed to calculate the speed or determine the fastest biker. The speed of a biker can be calculated by dividing the distance traveled by the time taken. However, the distance traveled is not mentioned in the statement, so it is impossible to calculate the speed.

Moreover, the route taken and the starting and ending points are also not mentioned, which are crucial factors that can affect the biking speed. If Austin biked a shorter route with fewer traffic lights and hills than the other bikers, he may have reached faster, even if the other bikers were faster overall.

In conclusion, without more information such as the distance, route, and other details, it is not possible to determine who biked the fastest from p.m. to p.m.

Learn more about Distance:

brainly.com/question/15172156

#SPJ11

Answer:

0.8

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

\(\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}\)

Answer:

likely (hope this helped!)

Step-by-step explanation:

Answer:

1 out of 2

Step-by-step explanation:

Sorry if I’m wrong

The graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.

How to interpret a graph?

The horizontal scale across the bottom and the vertical scale along the side tell us how much or how many. The points or dots on the graph show us the facts. The lines connecting the points give estimates of the values between the points.

since , it is a decreasing graph because it has a negative slope . Therefore , as no of glasses increases the gallons numbers decreases.

Hence , the graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.

Learn more about linear graphs at:

https://brainly.com/question/19040584

#SPJ1

Answer:

no run hide

Step-by-step explanation:

hide run boo