Jeff claims that a number and its opposite will always have the same aboslute value. Is Jeff correct? Yes or no

The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.

If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.

The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.

4x + y = 2x - 8

Taking 2x away from both sides:

2x + y = -8

When we take away 2x from both sides, we obtain:

y = -2x - 8

As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.

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As a result, there are 1140 different methods to select a committee of three from a group of 20 people.

The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It is a way to gauge how likely something is to happen. Probability is expressed as a number between 0 and 1, with 0 denoting that the occurrence won't happen and 1 denoting that it will definitely happen. By dividing the number of favourable outcomes by the total number of possible outcomes, one can determine the probability of an occurrence. Numerous disciplines, including statistics, finance, engineering, and science, use probability extensively to forecast the chance of an event happening and base decisions on that forecast.

given

The following combination formula determines how many options there are to select a committee of three from a class of 20 members:

C(20, 3) = 20! / (3! * (20-3)!) = 20 * 19 * 18 / (3 * 2 * 1) = 1140

As a result, there are 1140 different methods to select a committee of three from a group of 20 people.

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The last digit of the product is 5.

To find the last digit of the product of these numbers, we only need to focus on the last digit of each number, since the other digits do not affect the last digit of the product. We can observe that every odd number has a last digit of 1, 3, 5, 7, or 9. Therefore, we only need to consider the last digit of every fifth odd number in the given sequence.

The last digit of 2001 is 1.

The last digit of 2003 is 3.

The last digit of 2005 is 5.

The last digit of 2007 is 7.

The last digit of 2009 is 9.

The last digit of 2011 is 1.

The last digit of 2013 is 3.

The last digit of 2015 is 5.

The last digit of 2017 is 7.

The last digit of 2019 is 9.

To find the last digit of the product of these numbers, we need to multiply all of these last digits together. We can group the digits into pairs that multiply to 1, and there is one 5 remaining. Multiplying all of these digits together gives:

1 * 3 * 5 * 7 * 9 * 1 * 3 * 5 * 7 * 9 * 5 = 5

Therefore, the last digit of the product is 5.

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Answer:

Step-by-step explanation:

The value of cos^-1(-sqrt(3)/2) is -π/6 or -30 degrees.

We know that cos^-1(x) gives the angle whose cosine is x, in the range [0, π]. In this case, we are looking for the angle whose cosine is -sqrt(3)/2.

Recall that the cosine function is negative in the second and third quadrants of the unit circle. In the second quadrant, the reference angle whose cosine is sqrt(3)/2 is π/6 or 30 degrees, but the cosine function is negative in this quadrant. Therefore, the angle whose cosine is -sqrt(3)/2 is -π/6 or -30 degrees, which is in the fourth quadrant.

So, cos^-1(-sqrt(3)/2) = -π/6 or -30 degrees.

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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Answer:

Its a parallelogram because it has two sets of equal sides.

(let me know if I have to explain it more)

Answer:

the billing for water consumption between April and May is 275 pesos.

Step-by-step explanation:

To find the billing for water consumption between April and May, we need to calculate the difference in the water usage as measured by the water meter.

The difference between the readings in April and May is:

430.4 kl - 417.8 kl = 12.6 kl

To calculate the cost of this water usage, we need to multiply the volume of water by the cost per kl and then add the basic charge.

The cost of the water usage is:

12.6 kl x 20 pesos/kl = 252 pesos

Adding the basic charge of 23 pesos, the total billing for water consumption between the two months is:

252 pesos + 23 pesos = 275 pesos

Therefore, the billing for water consumption between April and May is 275 pesos.

The scale factor is 2/3 and the value of x and y are 9 and 10 respectively

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.

scale factor = length of new shape/ length of original

= 8/12 = 2/3

x = 6 ÷ 2/3

x = 6 × 3/2

x = 9

y = 15 × 2/3

y = 10

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The 95% prediction interval for the height is given by the inequality 177 cm < y < 200 cm.

The interpretation is that we are 95% sure that the height of a person with a foot length of 29 cm is greater than 177 cm and less than 200 cm.

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

In this problem, the bounds of the interval are given as follows:

We have a compound inequality, hence both conditions have to be respected simultaneously.

There is not enough information to obtain the interval, hence we just interpret the given interval.

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In slope-intercept form, the line's equation is y = (3/5)x + 3.

The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A formula that describes how two expressions on either side of a sign are connected. It typically has an equal sign and one variable. similar to this: 2x − 4 Equals 2.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Where (x1, y1) = (0, 3) and (x2, y2) = (-5, 0)

m = (0 - 3) / (-5 - 0) = 3/5

To estimate the y-intercept, we just found the intersection of two endpoints just on line (0, 3):

[tex]y=mx+b[/tex]

[tex]3=(\frac{3}{5} )(0)+b[/tex]

[tex]b=3[/tex]

So the equation of the line in slope-intercept form is: [tex]y=(\frac{3}{5}x )+3[/tex]

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The number of hours it would take to read the history chapters is  5 hours 25 minutes.

In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.

Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.

Time it would take to read the history chapters = 25 x 13 = 325 minutes

325 / 60 = 5 hours 25 minutes

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Answer:

a) opens down

c) directrix at y = 1/8

d) vertex at (-1/2,0)

Step-by-step explanation:

Starting from the given equation:

4x^2 + 4x + 2y + 1 = 0

We can rearrange to obtain the standard form of the equation of a parabola:

2(y + 1/2) = -4(x + 1/2)^2 + 1

(y + 1/2) = -2(x + 1/2)^2 + 1/2

Comparing to the standard form:

(y - k) = a(x - h)^2

We can see that the vertex of this parabola is at the point (-1/2, -1/2).

Next, we can find the axis of symmetry by noting that the parabola is symmetric about a vertical line passing through the vertex. This line is given by:

x = -1/2

We can also determine whether the parabola opens upward or downward by looking at the sign of the coefficient a. In this case, a = -2, so the parabola opens downward.

The distance between the vertex and the directrix is given by |1/(4a)|. Therefore, the distance between the vertex (-1/2, -1/2) and the directrix is:

|1/(4(-2))| = 1/8

So the directrix of the parabola is the horizontal line y = 1/8.

Therefore, the correct options are:

a) opens down

c) directrix at y = 1/8

d) vertex at (-1/2,0)

The other options are incorrect:

b) The parabola does not open to the left.

e) The directrix is not a vertical line at x = -3/8.

The probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome. The conditional probability P(A|B) occur only in the case of dependent events. It gives the conditional probability of A given that B has occurred.

P(F|G) = P(F∩G) / P(G)

P(F∩G) = Probability of happening of both F and G

P(F) = 199/600 = 0.3317

P(F∩G) = 79/600 = 0.1317

P(G) = 330/600 = 0.55

P(F|G) = 0.1317/0.55

P(F|G) = 0.2394.

Two events say A and B are independent if the probability of occurrence of one of them is not affected by the occurrence of the other, mathematical expressed as P(A ∩ B) = P(A) × P(B)

P(F) × P(G) = 0.3317 × 0.55

P(F) × P(G) = 0.1824

P(F∩G) is not equal to P(F) × P(G) from the data given.

Therefore, the probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.

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The length of the side of the square would be 12 inches.

A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90° angles. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.

Given : side of the triangle = 16 inches

So, the perimeter of the triangle = 16+16+16

                                                      = 48 inches

Now, the wire is unbent and shaped into a square.

So, the length of the wire would be same.

Hence, we can say that:

Perimeter of triangle = perimeter of square

                             48 =  4 × side

                 So, side = 12 inches.

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Answer: This is a binomial probability problem. Let X be the number of properties sold during a week, then X has a binomial distribution with parameters n=19 and p=0.3.

The probability of selling at least 5 properties is:

P(X ≥ 5) = 1 - P(X < 5)

To calculate P(X < 5), we can use the binomial cumulative distribution function or the normal approximation to the binomial distribution.

Using the binomial cumulative distribution function, we have:

P(X < 5) = Σ P(X = k) for k = 0 to 4

Using the formula for the binomial probability mass function, we get:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (0.7)^19 + 19(0.3)(0.7)^18 + 171(0.3)^2(0.7)^17 + 969(0.3)^3(0.7)^16 + 3876(0.3)^4(0.7)^15

Using a calculator or statistical software, we get:

P(X < 5) = 0.95044

Therefore, the probability of selling at least 5 properties in one week is:

P(X ≥ 5) = 1 - P(X < 5) = 1 - 0.95044 = 0.0496 (rounded to four decimal places).

So the probability of selling at least 5 properties in one week is approximately 0.0496 or 4.96%.

Step-by-step explanation:

The order of operations (also known as BODMAS) should be used to evaluate this expression:

6 + 2*6 + 20/4 = 6 + 12 + 5 = 23

So the answer is 23.

The composite function when evaluated is -61

From the question, we have the following functions that can be used in our computation:

f(a) = 3a +5

g(a)=a²-4

Using the above as a guide, we have the following equations

f(-7) = 3(-7) +5 = -16

g(-7) = (-7)²- 4 = 45

So, we have

f(-7) - g(-7) = -16 - 45

Evaluate

f(-7) - g(-7) = - 61

Hence, the solution is -61

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The value of x and y in the triangle are 0 and 4 respectively.

The mid segment of a triangle is a line connecting the midpoints between two sides of a triangle. The mid segment theorem states that the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side .

Therefore,

x + 2 = 3 / 2 x + 2

x - 3 / 2 x = 2 - 2

-0.5x = 0

x = 0

Let's find y

2y - 1 = 3y - 5

2y - 3y = -5 + 1

-y = -4

y = 4

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Answer:

Yes, it's a polynomial

Step-by-step explanation:

A polynomial is an expression that only involves operations of addition, subtraction, multiplication, and positive integer powers and variables.

Your expression fits the criteria.  You could also make this into a binomial and get (x-8)(x+4).

Please answer my question that I posted.  I'm stuck and I really need help.

Answer:x=-4,-2

Step-by-step explanation:it is

Answer:

0

Step-by-step explanation:

I remember learning this in math class. The smallest possible probability is zero meaning that event can't happen to be true.

The pair of functions are inverses, as their compositions result in x.

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

If two functions are inverse, the composites f(g(x)) and g(f(x)) both result in x.

The composite functions for this problem are given as follows:

Hence they are inverses.

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Answer:

15 ft

Step-by-step explanation:

Use the Pythagorean theorem.

9² + 12² = c²

c² = 225

c = √225 = 15

Answer: 15 ft

Answer:

15 feet

Step-by-step explanation:
So, to start we have to find the area of the wall.
9(12)=108
Now, we need to find half of the walls area
108/2=54

We have our length and height, but we need to find the hypotenuse using Pythagoreans theorem.
9 is our A and 12 is our B
a^2+b^2=c^2
81+144=c^2
c^2=225
The square root of 225 is 15.
C=15

Therefore, the stripe will be 15 feet.

The irrational number that is between the numbers is 3.112...

Given that

Numbers =  3.111... and 3.222....

The question states that the numbers are ratonal numbers

This is not true because the numbers are irrationa number dues to the ... appended to the numbers

Having said that

The irrational number between  3.111... and 3.222 is 3.112...

This is so because

3.111... < 3.112... < 3.222

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Answer:

The median of the given data is 20. To find the median, arrange the data in numerical order, and then take the middle value. In this case, the data is arranged in numerical order as 0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60. The middle value is 20, which is the median.

Answer:

17.5

Step-by-step explanation:

To find the median of a set of numbers, we need to arrange the numbers in order from smallest to largest and then find the middle value.

In this case, the numbers in the set arranged in ascending order are:

0, 5, 10, 10, 12, 15, 15, 20, 25, 30, 30, 35, 35, 45, 60

There are 15 numbers in the set, which means that the middle value is the eighth number. Since there are two numbers in the middle (15 and 20), we take the average of these two numbers to find the median:

median = (15 + 20) / 2 = 17.5

Therefore, the median of the set of numbers is 17.5.

In addition to being novel, arbitrary matrices with complicated elements are viewed as having potential. It is based on I. Schur's theorem, which states that any complex matrix is valid.

Any number of entries may be present in an arbitrary matrix. [a,b] [c,d] would be a random 2x2 matrix. Where all of the elements of some set (a, b, c, and d) (usually the real numbers.)

The definition of "arbitrary" is "undetermined; not assigned a specific value." As an illustration, the statement x+x=2x is true for any value of xR, whereas the statement x+x=2 is true only for the value x=1.

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Answer: The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Step-by-step explanation:

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

Answer:

please give more information like what to find

3.5, -10.5

Step-by-step explanation:

Answer:

f (3) = 142

Step-by-step explanation:

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