Simplify the square root of 18

If functions h(x)= f(x)+g(x), the point (2, 2) is on h(x) and The point (–2, 0) is on h(x).

In mathematics, a function is a rule or a set of rules that assigns a unique output to each input of a given set of inputs. It is a type of mapping or transformation in which each member of one set (the inputs) is associated with a unique member of another set (the outputs). Functions are often represented by equations or graphs, and they can be used to describe relationships between different variables.

For example, the equation y = x2 describes the function that assigns to each number x its square y.

The point (2, 2) is on h(x) since h(x) = f(x) + g(x) = 2 + 0 = 2. The point (–2, 0) is on h(x) since h(x) = f(x) + g(x) = 0 + 0 = 0. The point (0, –3) is not on h(x) since h(x) = f(x) + g(x) = 0 + 2 = 2, which does not equal –3.

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The simplified form of the expression is 1.55x - 2.16.

To simplify the expression 0.2[5x + (-0.3)] + (-0.5)(-1.1x + 4.2), we can distribute the coefficients and simplify the terms.

First, distribute 0.2 to the terms inside the brackets: 0.2 * 5x + 0.2 * (-0.3) = x - 0.06.

Next, distribute -0.5 to the terms inside the second brackets: -0.5 * (-1.1x) + (-0.5) * 4.2 = 0.55x - 2.1.

Now, we can combine the simplified terms: (x - 0.06) + (0.55x - 2.1) = 1.55x - 2.16.

Thus, the simplified expression is 1.55x - 2.16.

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Answer:

red - 1/2 × b × h

=1/2 × 3 × 4

= 6

green - 1/2 × b × h

= 1/2 × 4 × 4

= 8

\(x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)\)

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer: 1 solution

Step-by-step explanation:

The system of linear equations has a unique solution. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are different then the system has one solution.

From the graph, the slope of the lines is different. Then the system of linear equations has a unique solution.

Thus, the correct option is A.

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The general form of the regression equation is y = a + bx

A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.

Therefore, the general form of the regression equation is y= a+bx

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The 25th battery replacement will occur in October.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

The last time he changed his batteries was in May, so we know he needs to change them every 5 months. So we can figure out when he has to replace them for the 24th time. The first thing we need to do is figure out how many months have passed since he has to replace them 24 times a year.

\(\begin{aligned}5\text{ months}\cdot 24\text{ replacement}&= 120\text{ months}\end{aligned}\)

From the amount of months we can calculate the amount of years that will pass.

120 months x  (12 months/ 1 year ) = 10 year

Adding 10 years to May results in 10 years later May, which is the month of the 24th replacement.

That is the 24th battery replacement will occur in May and therefore, the 25th battery replacement will occur in October.

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

-11250 ft.

Step-by-step explanation:

Answer:

2:3:5

Step-by-step explanation:

24:36:60

1) Find the greatest common factor

24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24

36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36

60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the greatest common factor is 12.

2) Divide all values by 12

24 ÷ 12 = 2

36 ÷ 12 = 3

60 ÷ 12 = 5

Therefore, the simplified form of the ratio is 2:3:5.

I hope this helps!

Option d) Z+ ⊆ R . That is not true. There are real numbers that are not integers. There are real numbers between any two consecutive integers.

For the given alternatives, the option that is false is option d. Z+ ⊆ R. a. Z≥ ⊆ ZZ≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}. It includes the set of integers Z. Hence, the statement Z≥ ⊆ Z is true.b. Z+ ⊆ Z≥Z+ is the set of all positive integers. That is {1, 2, 3,....}. It includes the set of non-negative integers Z≥. Hence, the statement Z+ ⊆ Z≥ is true.c. R ⊆ QR is the set of real numbers. Q is the set of rational numbers.

Z is the set of all integers. That is {..., -3, -2, -1, 0, 1, 2, 3, ...}.Z≥ is the set of all non-negative integers. That is {0, 1, 2, 3,....}.Z+ is the set of all positive integers. That is {1, 2, 3,....}.Q is the set of all rational numbers. These are numbers that can be written in the form p/q where p and q are integers and q ≠ 0.R is the set of all real numbers. These are numbers that include all rational numbers and also all irrational numbers. These are numbers that cannot be written as the ratio of two integers. Example of irrational numbers are π, √2, √3, etc.The statement Z≥ ⊆ Z means that every non-negative integer is also an integer. That is true.The statement Z+ ⊆ Z≥ means that every positive integer is also a non-negative integer. That is also true.

The statement R ⊆ Q means that every real number is also a rational number. This is not true. There are real numbers that are not rational numbers. Example of irrational numbers are π, √2, √3, etc.The statement Z+ ⊆ R means that every positive integer is also a real number.

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer:

2/63

Step-by-step explanation:

I'm going to assume that the x is a multiplication symbol.

7 x 9 = 63

Therefore, the simplest form would be 2/63

The expression be (5x³ - 5x - 8) + (2x³ + 4x + 2) then we get 7x³ - x - 6.

An expression exists as a set of terms connected utilizing the operations +, -, x or ÷, for example, 4x − 3 or 5 x 2 − 3xy + 17.

An equation exists as a statement with an equals sign, which states that two expressions exist equal in value, for example, 4b − 2 = 6.

The given expression is

(5x³ - 5x - 8) + (2x³ + 4x + 2)

simplifying the above equation, we get

5x³ - 5x - 8 + 2x³ + 4x + 2

Combine like terms,

(5x³ + 2x³) + (-5x + 4x) + (-8 + 2)

adding similar elements, we get

7x³ + (-x) + (-6)

7x³ - x - 6

Therefore, the simplified form of the given expression is 7x³ - x - 6.

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The complete question is:

Choose the correct simplification of (5x³ − 5x − 8) + (2x³ + 4x + 2).

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block ways are there to arrange A∩R∩C, we must arrange the 3 blocks (3!) and then arrange within the blocks (4!⋅3!⋅5!)

According to the question, given that

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block

Imagine that the American block is merely an additional person to be placed among the other 8 people. After that, there are 9 "people" providing 9! arrangements. In order to organize the Americans within the block, we must then multiply by 4.

With 5 real individuals and 2 blocks, we have 7 "people" for AR, giving us 7!, multiplied by 4!3! to arrange within the blocks.

Similar to how we must position the three blocks for A∩R∩C, we must also organize the blocks themselves (3! 4! 3! 5!)

Therefore, the ways to arrange the people into a queue is (3! 4! 3! 5!)

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Answer:

14.25 lb

Explanation:

To get the answer, we need to subtract the final amount of flour at the end of the day from the original amount of flour.

16.25 - 3.80 = 14.25

Answer

Answer:

b + (-24) > 15

b-24+24>15+24

b>39

Answer:

b > 39

Step-by-step explanation:

isolate b

b - 24 > 15

  +24 > +24

b > 39

Answer:

True

Step-by-step explanation:

Scale factor = (image)/(preimage)

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

The equation of the line parallel to 2x - y = 1 and with a y-intercept of 6 is y = 2x + 6.

To find the equation of a line parallel to the line 2x - y = 1 and with a y-intercept (b) of 6, we first need to determine the slope of the given line. The slope-intercept form of a line is y = mx + b, where m is the slope.

To find the slope, we rearrange the given equation in the form y = mx + b:

2x - y = 1

-y = -2x + 1

y = 2x - 1

From this equation, we can see that the slope of the given line is 2. Since a line parallel to this line will have the same slope, our desired line will also have a slope of 2.

Now we can write the equation of the line in slope-intercept form:

y = mx + b

Substituting the given slope (m = 2) and y-intercept (b = 6) into the equation, we get:

y = 2x + 6

Therefore, the equation of the line parallel to 2x - y = 1 and with a y-intercept of 6 is y = 2x + 6.

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Answer:

this is fhe cordecr answer for rhis

\(5 \sqrt{6} \)

The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

  x = 4 . . . cm

Step-by-step explanation:

You want the measure of the segment CE from external point C to circle O, given several other dimensions of chords and segments in the circle.

As in the attachment, we can extend segment DO across the circle to make diameter DX. Then we can use the relation for chord lengths to find the radius of the circle (r).

Segments of crossing chords have the same product:

  FA·FE = FD·FX

  7·4 = 2·(2r -2) . . . . . use given segment values

  14 = 2r -2 . . . . . . divide by 2

  16 = 2r . . . . . . . add 2

  r = 8 . . . . . . . divide by 2

The radius of the circle is 8 cm.

We can also extend radius EO across the circle to make diameter EY, as shown in the attachment.

The relation involving the product of secant segments can be used to find x:

  CE·CY = CB·CA

  x(x +16) = 5(5+4+7)

  x² +16x = 80 . . . . . . . . simplify

  x² +16x +64 = 144 . . . . . . . add 64 to complete the square

  (x +8)² = 12² . . . . . . . . . write as squares

  x +8 = 12 . . . . . . . . positive square root

  x = 4 . . . . . . . . subtract 8

The value of x is 4.

__

Additional comment

The attachment is accurately drawn.

The statement "if s is a linearly dependent set, then each vector is a linear combination of the other vectors in s" is false.

A vector set's linear independence is an important attribute. If no vector in a set can be written as a linear combination of the other vectors in the set, the set is said to be linearly independent. The set is said to be linearly dependent if any of the vectors can be represented as a linear combination of the others.

If S is a linearly dependent set, then each vector in S is a linear combination of the others.

This is false.

For example, v₁ = (1,0), v₂ = (2,0), and v₃ = (1,1). Then v₂ = 2v₁ but v₃ is not a linear combination of v₁ and v₂, since it is not a multiple of v₁. But 2v₁ - 1v₂ + 0 v₃ = 0.

If an indexed set of vector S is linear dependent, then it is only necessary that one of the vectors is in the set.

Hence, the correct answer would be option (B).

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a) The standard error of the mean is given as follows: 0.95.

b) The 95% confidence interval is given as follows: (14.368, 18.332).

c) For the narrower interval, the confidence level should be decreased, as then the critical value would be decreased and so would the margin of error.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The parameters for this problem are given as follows:

\(\overline{x} = 16.35, s = 4.35, n = 21\)

The standard error of the mean is given as follows:

\(s_E = \frac{4.35}{\sqrt{21}} = 0.95\)

The lower bound of the interval is given as follows:

16.35 - 2.086 x 0.95 = 14.368.

The upper bound of the interval is given as follows:

16.35 + 2.086 x 0.95 = 18.332.

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Answer:

a, also known as all real numbers; b

Step-by-step explanation:

a is for the first question and b is for the second

Answer:

b. x = 123

Step-by-step explanation: