Write an expression in simplest form that represents the vertical distance between the two lines shown. Graph of a system of 2 linear equations. The line y equals x minus 1 goes through ordered pair 0 comma negative one and ordered pair 3 comma 2. The line y equals 2 x minus 4 goes through ordered pair 0 comma negative 4 and ordered pair 3 comma 2. Expression in simplest form: Question 2 What is the distance when $x=3$ ? Distance: What is the distance when $x=-3$ ? Distance: Skip to navigation

An arithmetic logic unit (ALU) performs all arithmetic operations (for example, addition and subtraction) and all logic operations.

An arithmetic logic unit (ALU) is a digital circuit used to perform arithmetic and logic operations. It represents the fundamental building block of the central processing unit (CPU) of a computer. Modern CPUs contain very powerful and complex ALUs. In addition to ALUs, modern CPUs contain a control unit (CU).

Basic arithmetic and logical operations are carried out using an ALU. Addition, subtraction, multiplication, and division are a few examples of arithmetic operations.

Binary numbers, or 0 and 1, are used to store and modify every piece of data in computers. Since a switch has just two possible states—open or closed—transistor switches are used to alter binary numbers. An open transistor, through which no current flows, is equivalent to a 0. A closed transistor with a current flowing through it symbolizes a 1.

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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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Answer: y=3/4x

Step-by-step explanation:

1. Find slope using slope formula

2. Find b value by plugging a point to solve for b with

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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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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Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}[/tex]

now, the y-intercept occurs when x = 0, recheck the picture below.

The price of each bottle of juice is $1.03

What is an equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

Let 'x' be the price of each bottle of juice. Then,

According to the question,

2.36 + 4x = 6.48

or, 4x = 6.48 - 2.36

or, 4x = 4.12

or, x = 4.12/4

or, x = 1.03

Hence, the price of each bottle of juice is $1.03

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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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The main purpose of statistical inferences is to make generalizations about a population from a small sample result.

Whenever we chart graphs, we try to represent raw data in tabular form. This data is mainly collected by us through surveys conducted on a small group of people, maybe our friends, family or anyone random. Through the data we receive, we can evaluate it to know results of out particular survey topic. Now, if we use this result to draw generalized conclusions about the whole population, then it is known as "inference" statistics. In inference statistics we donot limit the data to our sample size but rather use it to make predictions about the population.

For example: if we want to know the effictivity of a particular drug, we test it on a group of let's say, 100 people. The results show that about 75 treated got cured of the disease for which the drug was made to combat. Using statistical inference, we can conclude that in a population, the drug has an effictivity of 75%.

Further hypothesis can be conducted on the data using inferential statistics.

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Price of a gallon of gasoline at the beginning of July was $2.41

What is percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

According to the question:

In July, the price of a gallon of gasoline rose=12%

In august, it fell 15% of its final July price,

Ending the month at 1.19 rupees

Let us consider,

x is the original price at the beginning of July,

then the price of gasoline rose is 112%

=100+2

=112%

=112/100

=1.12

In august it fells 15%=100-15%

=.85%

With the help of given data

the original price is---- x

(1.12) × (.85) x = 2.29

find the value of x

x = 2.29/0.952

x=2.41

x=2.41 was its price at the beginning of July.

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Answer:

y= [tex]\frac{4}{3}[/tex] x+ [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

         -3x-4y=12

1. First we need to get the equation in the form of y=mx+c to do this we add 3x to both sides and then divide it by -4 on each side to get

      (add 3x to both sides) = -4y=3x+12

      (divide each side by -4)= y= -[tex]\frac{3}{4}[/tex] x -3

2. to find the perpendicular gradient we find the reciprocal of the original gradient

            the reciprocal of -[tex]\frac{3}{4}[/tex] is [tex]\frac{4}{3}[/tex]

3. we can check this by multiplying them and seeing of we get -1

           -[tex]\frac{3}{4}[/tex] x  [tex]\frac{4}{3}[/tex] = = -1

4. we then sub in the gradient  [tex]\frac{4}{3}[/tex] in y=mx+c this gives us

      y= [tex]\frac{4}{3}[/tex]x +c

5. to find the value of c we substitute the coordinates into the equation to get ( we do this by expanding the brackets and getting c on it own)

       -3=  [tex]\frac{4}{3}[/tex](-4) +c

       -3= -[tex]\frac{16}{3}[/tex] +c

        [tex]\frac{7}{3}[/tex]=c

6. we sub  [tex]\frac{7}{3}[/tex]=c  back into  y= [tex]\frac{4}{3}[/tex]x +c  this gives us

          y= [tex]\frac{4}{3}[/tex]x + [tex]\frac{7}{3}[/tex]

7. Therefore our final answer is

          y= [tex]\frac{4}{3}[/tex]x + [tex]\frac{7}{3}[/tex]

The reflection of triangle with respect to y axis is P'(-3,-2). Q'(1, -2), R'(-2,7)

How does reflection relate to the y axis?

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

What does a reflection mean in mathematics?

A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

For the reflection we need to see first the axis then we will fix that coordinate of the axis like in this case we have y axis so y coordinates will be fix and for x coordinate we will do in opposite direction like for 3 it will be -3 , for -1 it will be 1 and for 2 it will be -2

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Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

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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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By using the concept of function, it can be concluded that (-2, -1) needs to be removed to make the given relation a function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the figure, it can be seen that -2 has  two images,

2 and -1

So from the options given, the point (-2, -1) needs to be removed to make the given relation a function

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Complete Question

Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? O (-3, -4) O (-2, -1) O (1, -3) O (3,7)​

Answer: P is 1 and q is 11, making your answer 12.

Step-by-step explanation:

If the chart is displaying prime numbers in order from 1 to 13, list all of the prime numbers. We would start with '1' because '1' is a prime and the first one on the list, thus followed by 3, then 5, then 7, then 11 because the only prime number between 7 and 13 is 11.

Then, add your P and q together, 1 and 11 in this example, to get your final answer of 12.

Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{41}{5}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{5}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (4, 5 ) into the partial equation

5 = - [tex]\frac{16}{5}[/tex] + c ⇒ c = 5 + [tex]\frac{16}{5}[/tex] = [tex]\frac{25}{5}[/tex] + [tex]\frac{16}{5}[/tex] = [tex]\frac{41}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{41}{5}[/tex] ← equation of perpendicular line

Answer: 4ft/s

Step-by-step explanation:

I think

2 + 6 = 8

8 / 2 = 4

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

The amount of the investment at maturity is $2443.341

Compound interest is the interest on the initial principal plus the interest which has been accumulated.

Given,

Principal amount (P)=  $1500

Rate of interest(R)= 5% = 5/100 = 0.05%

Time(T)= 10 years

The formula for annual compound interest is as follows:

FV = P (1+ r/m)^mt

Where:

FV - the future value of the investment, in our calculator it is the final balance

P - the initial balance (the value of the investment)

r - the annual interest rate (in decimal)

m - the number of times the interest is compounded per year (compounding frequency)

t - the number of years the money is invested for

FV = 1500*(1+0.05/1)^(10*1) = 2443.341

The value of the investment after 10 years will be $2443.341.

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Therefore, number of strings can be made by using 4 lower case english letters is 66,351 strings.

Combination refers to an arrangement of objects where the order is not crucial. Contrary to permutation, where the order is important. Consider how the letters A, B, and C would be arranged. ABC and ACB are not the same arrangement in a permutation.

Here,

Repetition is permitted as long as we're only looking at lowercase letters.

Number of strings of length 4=[tex]26^{4}[/tex]

Other than x, how many strings of length 4 exist=[tex]25^{4}[/tex]

 [tex]26^{4}[/tex]- [tex]25^{4}[/tex]=66,351 strings.

Therefore number of strings can be made by using 4 lower case english letters is 66,351 strings.

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The solution to this system of equations is (3,1,-2) which are represented by matrix.

This system of equations can be represented by the augmented matrix:

[tex]\begin{bmatrix}100 & -3 & 0 \\010 & 0 & 1 \\001 & 0 & -2\end{bmatrix}[/tex]

The augmented matrix can be transformed into an upper triangular matrix using row operations:

[tex]\begin{bmatrix}100 & -3 & 0 \\000 & 3 & 1 \\000 & 0 & -2\end{bmatrix}[/tex]

Now, we can use back substitution to solve for the unknowns.

From the bottom row, we can see that z = -2.

From the second row, we can see that y = 1.

Using the top row and the values for y and z, we can solve for x:

100x - 3(1) + 0(-2) = 0

100x - 3 + 0 = 0

100x = 3

x = 3

Thus, the solution to this system of equations is (3,1,-2).

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[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]f(x)= 2x^2 + 12x +16 \qquad \begin{cases} x_1=-3\\ x_2=-2 \end{cases}\implies \cfrac{f(-2)-f(-3)}{-2 -( -3)} \\\\\\ \cfrac{[2(-2)^2 + 12(-2) + 16]~~ - ~~[2(-3)^2 + 12(-3) + 16]}{-2+3} \\\\\\ \cfrac{[8-24+16]~~ - ~~[18-36+16]}{1}\implies 0-(-2)\implies \text{\LARGE 2}[/tex]

Answer:

x = 2; y = 10

Step-by-step explanation:

y = 5x

2x + 3y = 34

You have a system of equations. Since the first equation is already solved for y, we can easily use the substitution method. Substitute 5x for y in the second equation.

2x + 3y = 34

2x + 3(5x) = 34

2x + 15x = 34

17x = 34

x = 2

Now substitute 2 for x in the first equation.

y = 5x

y = 5(2)

y = 10

Solution: x = 2; y = 10

Answer:

Hope this Helps!!!

Answer:

156

Step-by-step explanation:

mxn

13x12= 156

......

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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The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

For the graph given, the domain lie across the x-axis.

The range is possible y values. Since we can use negative x values, if we plug in x values for the function, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

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Answer:

answer is in explanation

Step-by-step explanation:

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

How to find the domain and range of a function?

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

For the graph given, the domain lie across the x-axis.

The range is possible y values. Since we can use negative x values, if we plug in x values for the function, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

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The test statistic would be a two-sample t-test, which compares the means of two independent samples by calculating the difference in means between the two samples and dividing the difference by the standard error of the difference.

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Describe a percentage example.

The hundredth component, one percent (symbolized as 1%), is expressed as 100 percent, and 200 percent denotes double the quantity specified. For example, 1% of 1,000 chickens equals 1/100 of 1,000, or 10 chickens, and 20% of the total is equal to 20% of 1,000, or 200.

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Answer:

It will take Iliana 16 hours to get 200 total XP.

Step-by-step explanation:

To project a value on a graph, we need to first find the equation of the graph.

The graph makes the shape of a line. Therefore, the equation of a graph is a linear equation.

⭐What is a linear equation?

To make the equation for this graph, we need to find the value of the slope and the y-intercept and substitute it into the equation.

The equation for this graph will be called P(t).

⭐How do we find the slope?

Pick 2 coordinates you are given. I am going to use (2,25) and (4,50).

Substitute these coordinates into the slope formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

[tex]m = \frac{50-25}{4-2}[/tex]

[tex]m = \frac{25}{2}[/tex]

⭐How do we find the y-intercept?

Since we aren't given the corresponding y-value for when x=0, we have to do the second option stated.

m = 25/2 is the same thing as m = -25/-2, because:

negative/negative = positive

positive/positive = positive

Thus, we can move down from point (2,25) 25 units and left 2 units to get to point (0,0).

[tex]y-intercept = 0[/tex]

Now, substitute the values of the y-intercept and the slope into the equation for the graph.

[tex]P(t) = mt + b[/tex]

[tex]P(t) = \frac{25}{2}t[/tex]

Next, to project a value on the graph, we need to substitute the y-value into the equation to find its corresponding x-value.

The y-value we want to find is 200 XP.

[tex]200 = \frac{25}{2}t[/tex]

Multiply LHS and RHS by [tex]\frac{2}{25}[/tex] to isolate t.

[tex]\frac{2}{25}(200) = \frac{2}{25}(\frac{25}{2}t)[/tex]

[tex]\frac{400}{25} = t[/tex]

[tex]16 = t[/tex]

∴ It will take Iliana 16 hours to get 200 total XP!

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

it would take her 16 hours to get 200 XP

you could see how much XP she gets in a hour and it would help you understand it better

HOURS ( 1 2)

TOTAL XP( 12.5 ÷2)

so according to the small little graph 1 hour is 12.5 XP so you could type how much she gets for any number of hours

EQUATIONS

p=12.5t you could make (t) time by itself

t = p/12.5

HOW LONG TO GET 200 XP

you need t get the value of t cause p = to 200

t= p/12.5

since p is = to 200 p is 200 and you can replace it

t= 200/12.5

so all you have to do it the math!

t = 16

ANSWER

it takes her 16 hours to get 200 XP