Which systems of equations have no solution?

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Question as edited by me: Keiko is comparing offers from two banks on checking accounts that include debit cards. Bank A charges a $20 monthly fee for a checking account and debit card, plus $0.60 for each transaction. Bank B charges a $35 monthly fee for a checking account and debit card,plus $0.20 for each transaction how much would she pay at each bank for the given month assuming she made 10 transactions? Which bank is cheaper and by how much?

Answer:

Explanation:

We're told that Bank A charges $20 monthly fee for checking account and debit card, plus $0.60 for each transaction.

Let's assume that Keiko made 10 transactions in the given month, then the total charges of Bank A will be;

Total charges of Bank A = 20 +0.6(10) = 20 + 6 = $26

We're also told that Bank B charges $35 monthly fee for checking account and debit card, plus $0.20 for each transaction.

Let's assume that Keiko made 10 transactions in the given month, then the total charges of Bank B will be;

Total charges of Bank B = 35 +0.2(10) = 35 + 2 = $37

Difference of Bank B and A charges = 37 - 26 = $11

Bank A is cheaper because the charges are lesser than that of Bank B by $11.

First, consider that a trasnlation of a function f(x), a units to the left, is represented by the function f(x + a). Moreover, take into account that a vertical translation of a function cosists in adding a constant in the form f(x) + b, where b is the constant.

Then, for the function G(x) = x², you can notice that the function has been traslated to the left 3 units, furthermore, the function concavity opens downward (which means that the dominant coefficient is negative) and there is a vertical translation of 3 units. These operations can be written as follow:

F(x) = -3(x + 3)² + 3

Answer:

\((9x^3y^2)^2\)

Step-by-step explanation:

The expression, as a square of a monomial, will be given by:

\((\sqrt{81x^6y^4})^2\)

Now, we calculate the root, applying it's properties. So

\(\sqrt{81x^6y^4} = \sqrt{81} \times \sqrt{x^6} \times \sqrt{y^4} = 9 \times x^{\frac{6}{2}} \times y^{\frac{4}{2}} = 9x^3y^2\)

The expression as a square of a monomial is given by

\((9x^3y^2)^2\)

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

\(\lim_{h \to \ 0}\) [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

\(\lim_{h \to \ 0}\)  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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Answer:

She have 345$ in her account.

Step-by-step explanation:

Given that,

Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon

Suppose, her savings account balance can be shown with the following expression:

75 + 25w + 35m

If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.

We know that,

When the numbers appear with variables it called coefficients.

When the numbers appear without variables it called constant.

Alphabets in an expression are called variables.

According to question,

25 and 35 are the coefficients and the number 75 appear without variables.

We need to calculate the balance in her account

Using expression

\( 75 + 25w + 35m \)

Put the value in the expression

\(75+25\times8+35\times2\)

\(=345$\)

Hence, She have 345$ in her account.

Answer:

1/2

Step-by-step explanation:

Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

The graph that represents the situation is given as follows:

First graph.

The initial position of the student is at home, which means that the intercept must be different of zero, already defining that the correct graph is either the first graph or the second graph.

Then the stops to talk to the friend, which is represented by the horizontal line in the graph, as the position is constant.

Finally, he arrives at the school, at a slower rate than before, meaning that the first graph is the correct graph for this problem, as the inclination after the horizontal line is less than the inclination before the horizontal line.

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Answer:

0.9668 USD

Step-by-step explanation:

1 USD=1.0343 AUD 1AUD=0.9668 USD.

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The length of EF in line segment DF is 15.

A line segment's boundaries are two separate places on the same line. Another way to describe a line segment is as a piece of the line that joins two points.

Given that,

Length of line segment DF = 19.

Also, E is any point on line segment,

And DE = 4.

To find the length of EF,

Since, E lies on line segment DF,

Implies that,

DE + EF = DF

4 + EF = 19

EF = 15

The required length of EF is 15.

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Answer:

WHATS THE QUESTION, BRO??

Step-by-step explanation:

Answer:

17 buttons

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

8 + 9 = 17

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

The result of the interpretation of the graph:

Spring side weakens the correlation shown in the scatter plot.

The correct option is D.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

The mean test score is represented in the scatter plot as a function of the average class size.

This demonstrates that there is a negative link between the mean class size and the mean test score,

with the mean score decreasing as the mean class size increases.

The correct response is:

Spring-side decreases the association displayed in the scatter plot.

However, for Spring side, the mean test score is higher than most other schools with lower class sizes, which is a different outcome than predicted.

Therefore, spring-side weakens the correlation shown in the scatter plot.

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The complete question:

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatter plot. One school in the report, Spring side Elementary, is labeled in the graph.

Which is a true statement regarding Spring side?

Spring side does not affect the correlation.

Spring side weakens the correlation shown in the scatter plot.

The spring side strengthens the correlation shown in the scatter plot.

Removing Spring side would increase the value of the correlation coefficient.

The scatter plot is attached in the image.

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Step-by-step explanation:

\(b = k + \frac{l}{m} \\ b - k = \frac{l}{m} \\ m = \frac{l}{b - k} \\ thank \: you\)

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

its a im pretty sure

Step-by-step explanation:

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

???

Step-by-step explanation:

Answer:

Its AGI

Step-by-step explanation:

Source(s): dude, trust me