elect the correct answer. Which system of equations is satisfied by the solution shown in the graph? A coordinate plane linear graph on inequalities in which a line intersects Y-axis at 6 and another line intersects y-axis at 10. Both lines intersect X-axis at minus 2 and Y-axis at 8. A. x + 2y = 6 and x − y = 10 B. x + y = 6 and x − 2y = 10 C. x + 2y = 10 and x − y = 6 D. x + y = 6 and x − y = -10

The statement that correctly compares the function of the given graph with the function y = 2x - 5 is; Option C: The function shown on the graph has a greater rate of change and a higher starting point.

The rate of change of function is defined as the change in the value of the function with respect to x value.

Rate of change of function f(x) is;

f'(x) = df(x)/dx

The given function is;  y = 2x - 5

Thus;

Rate of change of function = f'(x) = df(x)/dx = dy/dx = d(2x - 5)/dx = 2

The starting point of the function f is the y-intercept of the function.

The y-intercept of the function is the point where the function touches the y-axis which can be calculated by putting x value is equals to 0.

Thus; y = 2*0 - 5

y= -5

The starting point of function is -5.

Slope = (y intercept)/(x - intercept)

Slope = 4/1 =4

Thus, the rate of change of the graph = slope of the graph= 4

The y-intercept of the graph is equal to the starting point of the graph which is -5

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The first step performed by Daniela was that she subtracted 1 / 2 x from both sides of the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, Daniela is trying to solve an equation for x.

1/2 x + 3 = 7/2 x + 5

The variable of the equation is x. The variable of an equation is a number represented with letters.

Hence, the first step performed by Daniela is as follows:

Subtract 1 / 2 x from both sides of the equation

1/2 x + 3 = 7/2 x + 5

1/2 x - 1 / 2 x + 3 = 7/2 x - 1 / 2 x + 5

3 =  7/2 x - 1 / 2 x + 5

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The required mean as calculated from the given data is 13.

To calculate the mean x + y

mean of x + mean of y

= 5 + 8

=13

In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the

Standard Deviation

The indicator of dispersion is the standard deviation. It denotes how widely apart the data values are from the mean value.

Formula: σ=∑i=1nxi-μ2n

NOTE :

Complete question:

A random variable X has a mean of 5 and a st. dev of 0.40. A random variable Y has a mean of 8 and a st. dev of 0.60. If both are independent, what is the mean of X + Y?

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Answer:

1/4 or 0.25

Step-by-step explanation:

1/2 - (1/8 + 1/8)

= 1/2 + 2/8

= 4/8 - 2/8 (LCM)

= 2/8

= 1/4

= 0.25

______________

Hope it helps!!

Answer:

Step-by-step explanation:

1/4

Explanation:

First, add the terms within parenthesis:

1

2

−

(

1

8

+

1

8

)

⇒

1

2

−

2

8

Next, reduce the second term:

1

2

−

(

(

2

2

)

⋅

(

1

4

)

)

⇒

1

2

−

(

1

⋅

(

1

4

)

)

⇒

1

2

−

1

4

To get these two terms over a common denominator (in this case

4

) we need to multiple the first term by

(

2

2

)

:

1

2

−

1

4

⇒

(

(

2

2

)

⋅

(

1

2

)

)

−

1

4

=

2

4

−

1

4

Now we can subtract the terms to obtain the final answer:

2

4

−

1

4

⇒

2

−

1

4

⇒

1

4

To solve the given quadratic equation,  [tex]\frac{81}{4}[/tex] must be added to complete the square

What is quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

[tex]x^2+9x+7=0\\x^2+9x = -7\\x^2+2\times x \times \frac{9}{2} + (\frac{9}{2})^2 = -7 + (\frac{9}{2})^2\\x^2+2\times x \times \frac{9}{2} + \frac{81}{4}= -7 + \frac{81}{4}\\(x+ \frac{9}{2})^2 = \frac{53}{4}[/tex]

So, [tex]\frac{81}{4}[/tex] must be added to complete the square for solving the given quadratic equation

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Answer: 122.5

Step-by-step explanation:

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C

We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.

The integral is then

Integrating the second part we get:

xln|sec(x) + tan(x)| - x + C

The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.

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Answer:

The value of the discriminant is 17.

Step-by-step explanation:

⭐What is the discriminant?

Thus, we have to substitute the values a, b, and c from the quadratic equation we are given into the discriminant formula.

Let's identify what a, b, and c are.

[tex]y = ax^2 + bx + c[/tex]

[tex]y = \sqrt{2}x^2 -5x + \sqrt{2}[/tex]

a = [tex]\sqrt{2}[/tex]

b = -5

c = [tex]\sqrt{2}[/tex]

Now, substitute these values into the discriminant formula.

[tex]b^2 - 4ac =[/tex]

[tex](-5)^2 - 4(\sqrt{2}*\sqrt{2}) =[/tex]

[tex]25 -4(2) =[/tex]

[tex]25-8 =[/tex]

= 17

∴ The value of the discriminant is 17.

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The linear model for the question will be , Murder = −29.901 +2.559 ×  poverty .

In metropolitan regions without poverty, a murder rate of -29.901 per million is anticipated. This setting, which only modifies the regression line's height, is obviously meaningless.

We anticipate that the average number of homicides per million will rise by 2.559 for every extra percentage point of poverty.

The variation in murder rates in urban regions is explained by poverty level in 70.52% of the cases.

Correlation coefficient

=√0.7052=0.8398

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear relationship between two variables.

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Therefore, the value of the given equation of  x comes out to be  x =5.

Equations can be classified as either identities or conditioned equations. For each amount of the variables, an identity is true. Only specific values of the variables make a conditional equation legitimate. The equality sign ("="), which separate the two expressions, is a symbol for an equation.

Here,

Given data: A, B, and C are parallel, B is located between A and C, AC equals 24, AB equals 2x+1, and BC equals 3x-2.

In the event where A, B, and C are collinear and B is positioned between A and C, we obtain

Replace the given equation with AC = 24, AB = 2x+1, and BC = 3x-2.

AB plus BC equals AC

=>  AC= AB + BC

On combining like terms we get

=> 2x+1 + 3x-2 = 24

=> 5x -1 =24

=>5x =25

=>x =5

Therefore, the value of x comes out to be  x =5.

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For the given polynomial 5a²b-13ab+7a³-4b, the descending order is 7a³+5a²b-13ab-4b.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial. A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

The given polynomial is,

=5a²b-13ab+7a³-4b

The descending order,

=7a³+5a²b-13ab-4b

The descending order of polynomial is 7a³+5a²b-13ab-4b for the given polynomial 5a²b-13ab+7a³-4b.

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The amount that store earns is $120. By writing the equation for the given payment of the computer by Rudo, we get the required value.

It is given that, Rudo buys a computer for $920. This is 115% of what the store paid for the same computer.

So, consider the amount paid by the store for the same computer as 'x'.

Then, from the given information we can write that,

$920 = 115% of x

⇒ 920 = 0.15x

⇒ x = 920/0.15 = 800

So, the amount paid by the store for the same computer is $800

Thus, the amount earned by the store on the sale is $920 - $800 = $120.

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The probability that the second ball is greater than the first ball is 5/8

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

As to even odd

first ball can be anything. Second would have to be the first is not thus 5/9.

As second smaller than first

if first is 9, probability is 8/8, 100%, if 7 probability s 6/8 so in general take first ball, value k,

then the probability is sum (k - 1) / (n = 10 - 1) for k=1,2,…,9 so that’s all in 45/8 times 1/9 so 45/72 or 5/8.

Even a clear ball has Color so unless you have an invisible ball in your collection, both balls will be some amount of color or color.

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Answer:

3.444 repeating on

Step-by-step explanation:

Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft

The true or false values of the statements are:

From the question, we have the graph which represents the given parameters that can be used in our computation

Analysing the graph, we have:

The graph crosses the y-axis at y = 18

This means that the y-intercept of the graph is

y-intercept  = 18

This in other words mean that:

The cost of the book is $18

So, (a) is true

Also, the graph crosses the x-axis at x = 90

This means that the x-intercept of the graph is

x-intercept  = 90

This in other word mean that:

Giselle gets $18 if she pulls all the weed (i.e. 90 weeds) in the garden

So, (b) and (d) are true

The amount paid by her grandma is calculated as

Amount = 18/90

Amount = 1/5

So, (c) is true

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Each right triangle has a missing value of 1.9096 where = angle, O = opposing side, A = adjacent side, and H = hypotenuse.

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangle triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

given,

1.9096 is what's lacking.

SOH CAH TOA's identification would appear to be:

The opposite or hypotenuse of sin

Sinθ = O/H

the following being spoken

H = 11 \sin θ = 0.1736

To replace having, use:

0.1736 = O/11

O = 11 * 0.1736

O = 1.9096

the missing value is 1.9096.

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Answer: 42 is a 19.231% decrease of 52.

gg against the jags yesterday

This probability means that in a very long series of hands of poker, about 8.8% of the time we will get 4 of a kind.

The results of a chance process are unpredictable, yet they follow a predictable distribution over a large number of repeats. The frequency of a particular occurrence happening across many repeats approaches a single number, according to the law of large numbers. The likelihood of a chance result is determined by its long-term relative frequency. The probability given in the question is 88/1000, which means that we should anticipate 88 poker hands with a four-of-a-kind for every 100 hands with a pair.

The probability stated in the question for different Texas hold'em poker games has this meaning. Because it is also possible that 87 or 89 of 1000 such hands will have four of a kind, this probability does not guarantee that exactly 88 of those hands will contain four of a kind. There are frequently more than 88 fours of a kind, though this isn't always the case.

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Answer: [-6,2]

Step-by-step explanation:

Domain of a function means what x can we put into the function to get a numerical answer - for what x the function is defined. On the graph you can see that it's in the interval from -6 to 2. e.g. you cannot know the answer for x=7 , -6.5 or any x outside of the domain

Answer: 11 ft.

Step-by-step explanation:

Start by listing the variables that you have.

-Total Area=1,848; lot a 33ft wide, 42ft long; lot b xft wide, 42ft long.

- so, our equation looks like 1,848=(33x42)+(42x)

-multiply 33x42=1,386

-subtract 1,386 from both sides to get 462.

-equation should look like 462=42x

-divide by 42 to 11

The inverse function of f(x) = 4x + 12 is [tex]f^{-1}(x) = \frac{x}{4}-3[/tex] .

Option (A) is correct.

What is the inverse of a function?

The inverse of a function is a new function that "undoes" the original function. If f(x) is a function that takes in an input x and produces an output y, then the inverse function denoted as [tex]f^{-1}(x)[/tex], takes in an input y and produces an output x.

The inverse function of f(x) = 4x + 12 is denoted as [tex]f^{-1}(x)[/tex]. To find the inverse function, we can follow these steps:

Replace f(x) with y.

Interchange x and y.

Solve for y.

Following these steps, we get:

y = 4x + 12

x = 4y + 12

x - 12 = 4y

y = (x - 12)/4

Hence, the inverse function of f(x) = 4x + 12 is [tex]f^{-1}(x) = \frac{(x - 12)}{4}[/tex] = (x/4) - 3

Option (A) is correct.

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The statement "considered multiple regression which is a sample at 36 observations for a given eggs and fitted why the 95% approximate prediction interval for individual why is wider than the corresponding approximate 95% confidence interval for the conditional mean" is false.

Here we have given the statement and we need to identify whether this one is true or not.

As we all know that then Confidence interval is narrower than the prediction interval because Prediction intervals must account for both the uncertainty in estimating the population mean, plus the random variation of the individual values.

Therefore the prediction interval is always wider than a confidence interval.

And also here the prediction interval will not converge to a single value as the sample size increases.

Therefore, the statement is incorrect.

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Answer: 1 decameter

Step-by-step explanation:

Answer:

1 decameter

Step-by-step explanation:

1 decameter is 10 meters or 1000 centimeters

3) The value of x is 40°.

4) The value of x is 54.67°.

5) The value of x is 11.15.

6) The value of x is 30.33.

What is sine of an angle?

Sine and cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as the ratio of the length of the side directly opposite the angle to the length of the longest side of the triangle (the hypotenuse), and the neighboring leg's length to the hypotenuse, respectively. The sine and cosine functions are abbreviated sin and cos for an angle theta.

3)

The height of the triangle is 9.

The hypotenuse of the angle is 14.

The angle between base and hypotenuse is x°.

sin θ = height/hypotenuse

Putting θ = x°, height = 9  and hypotenuse = 14:

sin x = 9/14

x = 40°.

4)

The height of the triangle is 31.

The hypotenuse of the angle is 38.

The angle between base and hypotenuse is x°.

sin θ = height/hypotenuse

Putting θ = x°, height = 31  and hypotenuse = 38:

sin x = 31/38

x = 54.67°.

5)

The height of the triangle is x.

The hypotenuse of the angle is 17.

The angle between base and hypotenuse is 41°.

sin θ = height/hypotenuse

Putting θ = 41°, height = x  and hypotenuse = 17:

sin 41 = x/17

x = 17 × sin 41

x = 11.15.

6)

The height of the triangle is 29.

The hypotenuse of the angle is x.

The angle between base and hypotenuse is 73°.

sin θ = height/hypotenuse

Putting θ = 73°, height = x  and hypotenuse = 17:

sin 73 = 29/x

x = 29 / sin 73

x = 32.33

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A discrete random variable has either a finite or a countable number of values.

Discrete random variables are defined as variables that can only take on a finite number of values. If any random variable takes a countable number of all the possible values, it is referred to be a discrete random variable. For instance, while flipping a coin, the random variable X will take the values 0, 1, and 2 depending on the number of heads.

If the value of any variable, such as X, is uncertain, that variable is said to be a random variable. It may also be defined as a function that is crucial in giving values to the results of any random experiment. Depending on the sort of numeric values they include, random variables can be either discrete or continuous.

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Answer:

commission. This is a common industry practice, and it is reasonable to assume that Harlan earned this percentage from his sales.

Step-by-step explanation:

Answer:

  57.8

Step-by-step explanation:

You have quadrilateral JKLM similar to quadrilateral NOPQ with given sides JK = 9, LM = 13.7, NO = 38, and you want the measure of PQ.

Corresponding sides in similar figures are proportional in length:

  PQ/LM = NO/JK

  PQ/13.7 = 38/9

  PQ = 13.7(38/9) = 2603/45 ≈ 57.8

The measure of PQ is approximately 57.8 units.

Answer:

multiply

(x square + 5) ( x square +2x - 3)

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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