GWhich inequalities have no solution? Check all of the boxes that apply.XX-3x -3x–4 + x>-2 + xX-2

Assign the pair of coordinates for each point (use the graph)

A. (1,4)

B. (-2,-4)

C. (-2,2)

D. (4,-2)

STEP - BY - STEP EXPLANATION

What to find?

• The system of equation of the argumented matrix.

• The resultant after the given row operations.

Given:

The system of equation is:

7x - 7y + z = -5

3x - 3y + 8z = -5

-6x + y + 3z = 7

Hence, the correct option is D

The following row operations are to be performed;

The first row operation implies that you will multiply row 2 by -2 and then add to row. The resultant gives a new row 1.

This means that the elements in row 1 becomes:

Row 1 : 1 -1 - 15 | 5

Row 2: 3 -3 8 | -5

As for row 3, we will multiply row 2 by 2 and then add to row 3 to get a new row 3.

That is;

Row 3 : 0 -5 19 | -3

ANSWER

Option D

Part B

1 -1 - 15 | 5

3 -3 8 | -5

0 -5 19 | -3

We have that whenever you multiply two positive fractions, the product will be smaller than both factors. For example, if we have the following:

notice that both factors are fractions and the product is less than both factors.

Answer:

2 dogs

Step-by-step explanation:

10-4+3-7

6-4

2

Answer: 2 dogs

Step-by-step explanation:

QUESTION WHO KILLS AND EATS DOGS?????

Answer:

Inverse should be:

f^(-1)(x) = -2x + 5

Step-by-step explanation:

The marginal error is 0.0240

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.576, 0.624).

Given,

The percentage of students surveyed = 60%

Number of athletes = 1600

Confidence interval = 95%

We have to find the marginal error and 95% confidence interval of the study;

The following results are obtained from a sample of n people that were surveyed, with a probability of success of  π and a level of confidence of 1 - ∝

π ± z [tex]\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

Where,

z is the z score with a p value of 1 - ∝/2

Here we have,

n = 1600 and π = 0.6

95% confidence level

So ∝ = 0.05 , z is the value of Z that has a pvalue of  1 - 0.05/2 , so Z = 1.96.

Then, the margin of error is;

M = [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

M = [tex]1.96\sqrt{\frac{0.6.0.4}{1600} }[/tex]

M = 0.0240

M = 2.40 percentage points.

Lower limit of the interval;

π - M = 0.6 - 0.0240 = 0.576

Upper limit of the interval;

π + M = 0.6 + 0.0240 = 0.624

The 95% confidence interval for the proportion of all student athletes in this country have been subjected to some form of hazing is (0.576, 0.624).

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Answer:

D is not a function--an x-value cannot correspond to more than one y-value.

The postulate that is illustrated for the real numbers 2(x + 3) = 2x + 6 is The Distributive postulate , the correct option is (E) The Distributive postulate .

The Distributive Postulate states that for any three numbers a,b and c ,

a(b+c) = a*b + a*c

For Example : 5(6+1) = 5*6 + 5*1

                       5*7 = 30+5

                        35=35

In the question ,

it is given that

2(x + 3) = 2x + 6

On applying Distributive postulate in 2(x + 3)

we get

= 2*x + 2*3

= 2x + 6

hence Distributive postulate is applied in 2(x + 3) = 2x + 6 .

Therefore , the postulate that is illustrated for the real numbers 2(x + 3) = 2x + 6 is The Distributive postulate , the correct option is (E) The Distributive postulate .

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First, draw two parallel lines:

Next, draw to additional lines of the same length that connect both parallel lines:

Notice that this can be done in two different ways. In the case in red, both lines are not parallel. In the case shown in blue, they are. Since the problem asks for the case when they are not parallel, keep in mind the figure with the lines in red. That figure is a trapezoid.

The expression that simplify to rational number are as follows:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

In a simpler terms,  If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.

Rational numbers can also be expressed in decimal form.

Rational numbers have terminating decimals.

Therefore, let's find the rational simplification in the options.

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a)

Since we need an Expression, we also need a variablel for the "number".

Let's use "n".

We will translate each of the lines:

Pick a number : n

Mutiply that number by 12, so it becomes: n x 12

Add 15 to that, so we put parenthesis around that expression and add "15" to it:

(n x 12) + 15

Divide by 3, then we simply divide whole thing by 3, so we have:

b)

To simplify, let's re-write:

This is the simplified form.

She will need 12 flats and there will be 5 leftovers

From the question, we have

The number of flats is calculated as

So, we have the following equation

Number of flats = (Length)/Rate

So, we have

Number of flats = (77)/6

Evaluate

Number of flats = 12

This is calculated as

Leftover = Length - Number of flats * Rate

So, we have

Leftover = 77 - 12 * 6

Evaluate

Leftover = 5

Hence, the left over is 5

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Missing information in the question

Option C is the answer

Explanation

The information given directly by the picture is that:

This means we have a pair of congruent sides and a pair of congruent angles.

We need one more information to prove congruency. There is no way of getting side information, by if we see the vertex C, the angles make a pair of vertical angles. Vertical angles are congruent, so:

This means now that we have 2 pairs of congruent angles and one pair of congruent sides, so we will use either AAS or ASA.

To determine which is the case, we can visualize the order in which the angles and side appear going around the triangle.

We can see that we have an Angle then the side then the other Angle, so the order is Angle-Side -Angle, so the rule we need to use is ASA.

Answer

Angle-Side-Anlge, that is ASA.

GIVEN:

We are given a graph showing the increase in the amount of water pumped into a pond for every passing hour.

Required;

To determine the amount of increase in the water level for each hour that water is added.

Also, to determine the slope of the line as shown in the graph.

Step-by-step solution;

(a) Notice that the graph shows an increase in the water level for every passing hour. Notice also the following relationship;

We can see that the rate of change for every hour is 300 liters increment.

Therefore, for each hour that water is added, there is an increase of 300 liters.

(b) To calculate the slope of the line shown in the graph, we shall take the change in liters and divide by the corresponding change in the hours.

We now have the following;

The variables are;

We now have the slope as follows;

The slope therefore is 300.

ANSWER:

The formula to calculate the percentage change is given as

The question gives us:

Original amount: 25

End amount: 18

Substituting, we have

The percentage change is a 28% decrease.

SOLUTION

The question can be written in equation form as:

Solution:

Given the following data below

The upper quartile, Q₂, (median) will be

Hence, the answer is 38.5

Solution

We can use ratio to solve the problem

Part A

5cm to x in

Now

The final answer

Part B

Similar step as part a

The final answer

Summary

nine hundred forty-two ten-thousandths:

1. Write the first part as a number: nine hundred forty-two

nine hundred: 900

forty-two: 42

900+42= 942

2. Identify the position of number above in the decimal knowing that ten-thousandths ends in 4 disgits after the decimal point (the last digit of number above needs to be in the ten-thousandths position):

x(x-2)

Apply the distributive property:

x(x)+x(-2)

x^2-2x

Converting the given expression which is [tex]43_{8}[/tex] to base ten gives 35 in base ten.

Conversion of bases is achieved based on how the conversion to be done are are basically of two methods which are

The question is about converting other bases (base eight) to base ten. The steps required are as follows:

The given data is a number in base eight

[tex]43_{eight}[/tex]

[tex]43_{eight}=4*8^{1}+3*8^0[/tex]

[tex]43_{eight}=4*8+3*1[/tex]

[tex]43_{eight}=32+3[/tex]

[tex]43_{eight}=35[/tex]

The number 35 is now in base ten and can be written as [tex]35_{10}[/tex]

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Given:

Graph is given.

6a.

6b.

6c.

First, let's express the proportion as an equation, where the blank space is the variable x.

To find the value of x, we multiply both sides by 35.

Given the equation of exponential decay function:

The given function always decreases overall the domain

so, the answer will be the intervals of decrease is:

Given:

The ratio is 9:6.

The equivalent ratio is,

Answer: the ratio equivalent to 9:6 is 3:2.

Solution:

Expression:

Expression:

ANSWER:

Expression:

ANSWER:

Expresion:

ANSWER:

Since the rectangles are similar, that means their sides are proportional.

Since the bigger rectangle has a base of 24cm and the smaller one's base is 20cm, the proportion the sides hold is

This means the sides of the larger rectangle are 1.2 times larger than those of the smaller one.

The area of the small rectangle is 80cm². Since

where b is the lenght of the base and h is the lenght of the height, then

So the height of the small rectangle will be 4cm. But as we previously deduced, the height of the larger rectangle will be 1.2 times larger than that of the smaller one, so it's height will be

And so, its are is

We can confirm this because

which is the proportion the areas of the rectangles hold.

Proportionately, the number of hours it takes Eric to finish the book as Jessica is 3¹/₂ hours.

Proportion refers to the ratio of the quantity contained in a number or value concerning another value's ratio.

Proportions, like ratios, are fractional values, represented using decimals, fractions, or percentages.

In ratio terms, Eric's reading time is 3¹/₂ hours to Jessica's 2¹/₃ hours, giving an absolute ratio of 3: 2 with a constant proportionality of 1.5 hours.

For instance, the product of Eric's reading time, compared to Jessica's reading time, shows that Jessica does a faster reading than Eric.

The total number of hours it takes Jessica to finish her book = 2¹/₃ hours

The total hours it takes Eric to finish the book = 2¹/₃ hours x 1¹/₂

= 3¹/₂ hours (2¹/₃ x 1¹/₂).

Thus, whereas Jessica takes 2¹/₃ hours to finish the book, in proportion, Eric consumes 3¹/₂ hours reading the same book.

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Jessica finishes her book in 2¹/₃ hours. Eric takes 1¹/₂ times longer than Jessica to finish his book. How long did Eric take to finish the book?

SOLUTION:

Case: Outliers in a data set

Given: A set of numbers:

117, 211, 186, 176, 372, 7, 51, 229, 222, 83, 129, 142, 197, 102.

Required:

A) Identify the outliers

B) Mean with outliers

C) Median with outliers

D) Mode with outliers

E) Mean without outliers

F) Median without outliers

G) Mode without outliers

Final Answers

A) The outliers

First we arrange the data:

7, 51, 83, 102, 117, 129, 142, 176, 186, 197, 211, 222, 229, 372

Now we select the outliers

Because of the space in the data, the suspected outliers are:

7

because it is far from the central values

B)

The mean with outliers

C)

Median with outlier

Median = (142+176)/2

Median= 159

D) Mode with outlier

This data has no mode

E) Mean without outlier

51, 83,102, 117, 129, 142, 176, 186, 197, 211, 222, 229, 372

F) Median without outlier

Median = 176

G) Mode without outlier

The data has no mode