How many solutions does the following equation have? 5(x + 3)= 5x + 3
HELP!!

Answer:(-2,-3)

Step-by-step explanation: We are using elimination to solve this system of equations. They've already done the balancing so let's use their given equation. It states

\(4y+3x=-6\)  and  \(3y-3x=-15\)

Combine the equations which will eliminate the x term and you get :

\(7y = -21\)

which means

\(y=-3\)

plug it back in to solve for x and you get the x-value to be -2.

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.When side lengths are given, add them together.

Solve for a missing side using the Pythagorean theorem.

If we know side-angle-side information, solve for the missing side using the Law of Cosines.

Answer:

positive

Step-by-step explanation:

The expression (128 + 32) when rewritten using factoring is 4 * (32 + 8)

The expression in the question s given as

(128 + 32)

Express the numbers 128 and 32 as the product of their factors

i.e. we factor out 4 from the expression

So, we have

(128 + 32) = (4 * 32 + 4 * 8)

Next, we factor out the common factor (i.e. 4) from the expression

So, we have

(128 + 32) = 4 * (32 + 8)

Rewrite the above expression as follows

(128 + 32) = 4(32 + 8)

Hence, the expression (128 + 32) when rewritten using factoring is 4 * (32 + 8)

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The false statement suggests that class boundaries ensure consecutive bars of a histogram touch, but this is incorrect. Class boundaries are used to define intervals and group data, not to ensure that bars touch.

Class boundaries in a histogram are not designed to ensure that consecutive bars touch. Instead, they are used to define the intervals or ranges into which the data is grouped. The purpose of class boundaries is to establish a clear distinction between adjacent classes, making it easier to interpret the data and create meaningful intervals for analysis.

To clarify, let's consider an example where we have a set of data points ranging from 10 to 30. We want to create a histogram with five bars. We can define the class boundaries as follows:

Class 1: 10 - 14.9

Class 2: 15 - 19.9

Class 3: 20 - 24.9

Class 4: 25 - 29.9

Class 5: 30 - 34.9

In this example, the class boundaries are chosen based on the desired intervals for the histogram. However, it's important to note that the bars representing these classes in the histogram will not touch each other. There will be gaps between them to indicate that they are separate intervals.

The purpose of class boundaries is to create distinct and meaningful intervals for analyzing the data in a histogram.

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In the given situation the mean score of the players in the soccer match is 1.67 respectively.

There are various mean types in mathematics, particularly in statistics.

Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.

By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined. Mean is equal to (Sum of All Observations/Total Observations).

Mean formula:
Mean =  sum of terms/number of terms

Now, insert values:

Mean = 2+2+0+3+1+2/6

Mean = 10/6

Mean = 1.66

Mean = 1.67

Therefore, in the given situation the mean score of the players in the soccer match is 1.67 respectively.

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Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Answer:

6

Step-by-step explanation:

2x4=8

32-8=24

24/4=6

=6

Answer:

72 miles=1 gallon

Step-by-step explanation:

Divide 1080 by 15 and divide 15 by 15. You get 72 and one.

the tax estimated to be collected by the government during the financial year 2020/21 is 666.9 billion rands.

why it is and what is a financial year?

The tax estimated to be collected by the government during the financial year 2020/21 is not explicitly given in the table. However, the total revenue collected by the government during the financial year 2020/21 is given, which is:

666.9 billion rands

Therefore, the tax estimated to be collected by the government during the financial year 2020/21 is 666.9 billion rands.

A financial year (also known as fiscal year) is a period of 12 months that a company or government uses for financial reporting and accounting purposes. It does not necessarily correspond to the calendar year, which is a period of 12 months starting on January 1st and ending on December 31st.

The financial year is important because it helps organizations to keep track of their financial performance over a consistent period of time, which facilitates comparison of financial results from year to year. The financial year is often chosen to align with a company's operational cycle, which may be seasonal or have other considerations that affect the timing of revenues and expenses.

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Answer:

can you copy and paste it on a question its kinda blurry for me

Step-by-step explanation:

Answer:

B / The Girl

Step-by-step explanation:

.

Answer:

5) Slope(m): 2

y-intercept(b): (0, 4)

6) Slope(m): -1

y-intercept (b): (0, -6)

7) Slope(m): 5

y-intercept (b): (0, 8)

8) Slope(m): 7

y-intercept (b): (0, 1/2)

Step-by-step explanation:

in order to find the slope and y-intercept you need to rewrite the equation in y=mx+b.

in 5, the equation is -2x+y=4. we need to add 2x to both sides to get y=2x+4. now you can find your slope (2) and your y-intercept point (0, 4)

in 6, the equation is x+y=6. we need to subtract x from to both sides so we get y=-x+6. you would get a slope of -1 and a y-intercept point of (0, 6)

in 7, the equation is -5x=8-y. we need to add 5x to both sides to get 0=8-y+5x. then add y to both sides so we get the equation y=5x+8. you have a slope of 5 and a y-intercept point of (0, 8)

in 8, the equation 0=1-2y+14x. we need to add 2y to both sides and we get 2y=14x+1. since we need y to stand alone we need to divide both sides by 2. now we have y=7x+1/2. the slope is 7 and the y-intercept point is (0, 1/2)

Hope this helps!! :)

The orthogonal trajectories of a family of curves are a new set of curves that intersect the original curves at right angles. To find the orthogonal trajectories of the family of ellipses given by the equation 2x^2 y^2, follow these steps:

Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient). In this case, let's differentiate with respect to y: d/dy (2x^2 y^2) = 4x^2y Find the slope of the tangent line to the family of ellipses at any given point by setting the derivative equal to -1 divided by the slope of the tangent line: 4x^2y = -1/m where m represents the slope of the tangent line.

Solve the resulting equation for y in terms of x to obtain the equation of the orthogonal trajectories: y = -1/(4x^2m) By following these steps, you can find the equation of the orthogonal trajectories of the family of ellipses. Differentiate the equation of the family of ellipses with respect to x or y (whichever is more convenient).

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Answer:

153.86

Step-by-step explanation:

use pi x radius squared

Answer:

the answer is B

Step-by-step explanation:

Answer:

12/16, 6/8, 15/20, 24/32

Step-by-step explanation:

Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.

The Mean Absolute Error (MAE) is [Insert value]. The Mean Squared Error (MSE) is [Insert value].

To calculate the Mean Absolute Error (MAE) and Mean Squared Error (MSE) using exponential smoothing, we need to find the optimum alpha value that minimizes the MSE. Excel Solver can be used to determine this value.

Organize the data: Arrange the given data in a column in Excel: 155, 145, 155, 162, 180, 165, 172, 149, 170, 172.

Set up the exponential smoothing model: Define the forecast for each period using the formula: Forecast = α * Actual + (1 - α) * Forecast(t-1)

Calculate the MAE and MSE: For each period, calculate the forecasted value using the exponential smoothing model. Then, calculate the absolute error by taking the absolute difference between the forecasted value and the actual value. Square each absolute error to obtain the squared error. Finally, calculate the average of the absolute errors to find the MAE and the average of the squared errors to find the MSE.

Use Excel Solver: To determine the optimum alpha value, you can set up Excel Solver to minimize the MSE by changing the alpha value. The objective is to find the alpha value that gives the lowest MSE.

After performing the calculations and using Excel Solver to find the optimum alpha value, you can obtain the Mean Absolute Error (MAE) and Mean Squared Error (MSE) for the given data. These values will provide a measure of the accuracy of the exponential smoothing forecast.

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Answer:

y^​2*​y^​3

Step-by-step explanation:

Use the power of 5

Answer:

\( {y}^{2} \times {y}^{3} \\ \\ = {y}^{2 + 3} \\ \\ ={ y}^{5} \)

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

False

Step-by-step explanation:

Let us evaluate the problem using the proper order of operation:

           4x − 2(5x − 1)

To solve this problem, we use the order of operation called PEMDAS;

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now, since operations inside the parentheses are of the utmost priority, let us solve this;

             4x − 2(5x − 1)

            = 4x - 10x +2

            = -6x + 2  or 2 - 6x

We see that the solution give is false.

the total amount will be $10000, for present value of $1,490.30

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate is raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

if the required return is 8 percent.

the present value of $1,490.30

The total year will be 10.

So the amount after 10 years will be:

Then Present value

$1490.30 x 6.71008140

10,000.03 = $10000

Hence, the total amount will be $10000.

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It is vertically stretched by a factor of 200 and shifted 10 units up.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

You write functions with the function name followed by the dependent variable.

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Answer:

Step-by-step explanation:

i cant see the answer

a matlab command finds the coefficients of a polynomial and can be used in linear regression to find the slope and y intercept of a linear equation are mentioned below.

C = coeffs( p ) returns coefficients of the polynomial p with respect to all variables determined in p by symvar .

C = coeffs( p , var ) returns coefficients of the polynomial p with respect to the variable var .

yCalc2 = X*b;

plot(x,yCalc2,'--')

legend('Data','Slope','Slope & Intercept','Location','best');

Hence the matlab commands are mentioned.

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Answer:

Ok so the information you gave is :-

Slope = 1/4

Y-intercept = 3

So first you will graph the y-intercept. So the y-intercept is 3 or (0, 3). Then you will plot the slope which is 1/4. If you know that slope = rise/run. So you will go 1 unit up and 4 units to the right. Hope this helps, thank you and if you need help then I am here.

Answer: \(-1 < x < 7\)

Step-by-step explanation:

Because 80 degrees is smaller than 180 degrees, but there are 2 pairs of congruent sides that form the labeled angles,

\(3x+3 < x+17\\\\2x < 14\\\\x < 7\)

However, the side lengths must be positive, so x > -1 (because of 3x+3).

So, the range is \(-1 < x < 7\)

Answer:

X=-1, y=1

Step-by-step explanation:

- x=2x+3

-3x=3

X=-1

Y=-1*-1=1

Answer:

f(x)=17

Step-by-step explanation:

f(x)=(2)2+4(2)+5

=4+8+5

=17

f(x)=17

Answer:

f(2) = 17

Step-by-step explanation:

f(2) - sub in the number 2 in x

(2)² + 4(2) + 5

4 + 8 + 5

f(2) = 17

Answer:

TRUE

Step-by-step explanation:

In a function, every domain value (x-value) must have exactly one corresponding range value (y-value). This means that in a function, an x-value or input value cannot have two different y-value or output value. Or else, it ceases to be a function.

So, when you substitute a certain value of x into the equation of a function, you can only have one exact value of y for that value of x.

In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In the case of multiple inputs, all the inputs are independent variables.

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Exact Form of the expression is mathematically given as

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Generally, An expression is a combination of variables, numbers, operators, and/or functions that represent a value.

\(\sin \left(2 \arccos \left (\frac{1}{3}\right)\right)\)

Evaluate\($\arccos \left(\frac{1}{3}\right)$.\)

sin (2 *1.23095941)

Multiply 2 by 1.23095941.

sin (2.46191883)

The result can be shown in multiple forms.

Exact Form:

\(\sin \left(2 \arccos \left(\frac{1}{3}\right)\right)\)

Decimal Form:

0.62853936

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