What is P.E.M.D.A.S?​

The answer is the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x). The upper bound theorem does not specify any upper bound for the real zeros of (x)

The Lower bound theorem states that "If the terms of a polynomial are arranged in descending order of their degrees, then the absolute value of the quotient of the constant term and the coefficient of the term of the highest degree gives a lower bound for the absolute value of its zeros." Let's examine whether the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x) and whether 3 is an upper bound for the real zeros of (x).

As f(x) = 56 = x + 17x² + 11x + 23Since f(x) is not arranged in descending order of their degrees, we have to rearrange it as follows. 17x² + 11x + x + 23 + 56 = 17x² + 12x + 79 on rearranging the equation we have: 17x² + 12x + 79 = 0Hence the constant term is 79 and the coefficient of the term of the highest degree is 17. Thus, using the lower bound theorem, we can evaluate that a lower bound for the absolute value of the zeros of the polynomial is 79/17 ≈ 4.65 Since -2 is less than the calculated lower bound of 4.65, it is indeed a lower bound for the real zeros of f(x). Now, for (x), the constant term is 0, and the coefficient of the term of the highest degree is 1. Thus, using the upper bound theorem, we can evaluate that an upper bound for the absolute value of the zeros of the polynomial is 1/0, which is equal to infinity. Since infinity is not a number, 3 cannot be an upper bound for the real zeros of (x).

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Answer:

15/8

Step-by-step explanation:

18/8 - 3/8 = 15/8

Answer:

15/8

Step-by-step explanation:

\(2 \times \frac{1}{4} - \frac{3}{8} \)

First, combine the mixed fraction. 2 (2/1) is equal to 8/4 (multiply by 4/4). This comes out as 9/4.

9/4 - 3/8

Then, we need to multiply the first fraction by 2/2 to get a common denominator

18/8 - 3/8

Since the denominators are the same, we can subtract the numerators, 18 - 3 = 15.

The denominator is kept after doing the subtraction in the numerator. 15/8 is the answer, or 1 7/8 as a mixed fraction

The slope of the line that contains A and B is -2/3 and the equation of the line that passes through A and B is y = (-2/3)x + 1. The x-intercept is (6, 0) and the y-intercept is (0, 1).

a. The slope of the line passing through points A(-12, 9) and B(-4, 3) is given by:

slope = (y2 - y1) / (x2 - x1) = (3 - 9) / (-4 - (-12)) = -6 / 8 = -3/4

b. To find the equation of the line, we can use the point-slope form:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point on the line.

Using point A(-12, 9):

y - 9 = (-3/4)(x - (-12))

y - 9 = (-3/4)(x + 12)

y - 9 = (-3/4)x - 9

y = (-3/4)x

The equation of the line that passes through points A and B is y = (-3/4)x.

c. The midpoint of the segment AB is given by the average of the x-coordinates and the average of the y-coordinates of A and B:

Midpoint = ((-12 + (-4)) / 2, (9 + 3) / 2) = (-8, 6)

d. The length of the segment AB can be found using the distance formula:

Length = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Length = sqrt((-4 - (-12))^2 + (3 - 9)^2)

Length = sqrt((8)^2 + (-6)^2)

Length = sqrt(64 + 36)

Length = sqrt(100)

Length = 10

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Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B.  

Note that  in the above expression, A number line is one that moves from point A to point B and also that a line can be drawn from a given point A to another point B.

Therefore, one can say that The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B and as such, option A is correct.

Note that P will be closer to A due to the fact that it will be 3/7 the distance from point A to  point B.

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Answer: OPTION A

Step-by-step explanation:

Answer:

I couldn't find a graph with the shape, so I had to use points, sorry.

To reflect a shape, reverse its direction up or down and put it on the same points, positive or negative, accordingly. Reflections usually represent a function.

Answer:

This is not a right triangle(No)

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

If you use Pythagorean Theorem, you can determine whether or not these measurements make a right triangle. The hypotanuse is always the longest side, or c, in this equation.

a^2+b^2=c^2

14^2+23^2=25^2

196+529=625

725=625

Obviously, this set of measurements do not make a right triangle. Hope this helped!

The given function f(x)=-2(3+x)²+2x² , is a linear function.

Where:

 A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.

   A function can be linear or quadratic, this is evidenced by the higher exponential degree, in our case we have the following function:

f(x) = -2(3+x)²+2x² we solve the function that seems to be quadratic because it has the highest degree the number "2" in the variable, however we will solve its reduction.

We solve the trinomial and substitute

(3+x)² = (9 + 6x + x²)

-2(9 + 6x + x²) + 2x²

-18 - 12x - 2x² + 2x² + 2x²

0x² - 12x - 18 is a linear function

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Answer:202.5

Step-by-step explanation:

S1=(9*5)/2=22.5

S2=(20*9)=180

S=S1+S2=22.5+180=202.5

Answer:

A

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 )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = \(\frac{-8-0}{2-0}\) = \(\frac{-8}{2}\) = - 4

The line crosses the y- axis at (0, 0) ⇒ c = 0 , then

y = - 4x + c , that is

y = - 4x → A

The equation of line passes through the points (0, 0) and (2, -8) will be;

⇒ y = - 4x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (2, -8).

Now,

Since, The equation of line passes through the points (0, 0) and (2, -8).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 8 - 0) / (2 - 0)

m = - 8 / 2

m = - 4

Thus, The equation of line with slope - 4 is,

⇒ y - 0 = - 4 (x - 0)

⇒ y = - 4x

Therefore, The equation of line passes through the points  (0, 0) and

(2, -8) will be;

⇒ y = - 4x

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Answer:

It will be 72cm

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

9x4x2=72

If d represents how many dozens of eggs were ordered, then the expression that represents the number of eggs that were ordered is 12d. Therefore, if we order d dozen of eggs, we will have 12 * d eggs.

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Answer:

B

Step-by-step explanation:

Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.

The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.

The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.

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Answer:

if im not mistaken the answer is 21?

Step-by-step explanation:

Answer:

The perimeter is 24

Step-by-step explanation:

BD = AD and we know that AD is 3 so we know the little side is exactly 6 long.

Because they are right triangles, both of the long sides are equal.

AC is 9 so BC must also be 9.

We break this into 9 + 9 + 6 which equals 24

Answer:

100

Step-by-step explanation:

Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.

Answer:

0.9168

Step-by-step explanation:

From the data given:

Mean = 110

standard deviation = 5

Let consider a random sample n =49 which have a mean between 109 and 112.

The test statistics can be computed as:

\(Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_1= \dfrac{-1}{\dfrac{5}{7}}\)

\(Z_1\)  = -1.4

\(Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_2 = \dfrac{2}{\dfrac{5}{7}}\)

\(Z_2 =2.8\)

Thus; P(109  <  \(\overline x\)  <  112) = P( - 1.4 < Z < 2.8)

= P(Z < 2.8) - P( Z < -1.4)

= 0.9974 - 0.0806

= 0.9168

Answer:

The rule for this geometric sequence is that the number is being halved each time. This can be expressed as a general rule as follows: an = a1 * (1/2)^n-1 , where a1 is the first term, n is the number of the term in the sequence, and an is the nth term. Therefore, the nth term of this sequence is an = 64 * (1/2)^n-1.

Answer:electrons

Step-by-step explanation:

Answer:

A) = 9

B) = 22

C) = 42

Step-by-step explanation:

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

Answer:

Step-by-step explanation:

         x^2 - x +3

        ___________

  x-4 | x^3-5x^2+x-12

        | x^3-4x^2

        |__________

        |        -x^2 +x

        |        -x^2+4x

        | __________

        |                -3x -12

                         -3x-12

        |____________

                       0

If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.

Let the expression be (x³ - 5x² + 7x - 12) / (x-4)

\($x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$\)

simplifying the above equation, we get

\($=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$\)

Cancel the common factor: x - 4

= x² - x + 3

Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

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The next two steps for the students to analyze their DNA by Southern blot are gel electrophoresis and DNA transfer to a membrane.

After purifying the DNA and cutting it with the endonuclease, the next step is gel electrophoresis. Gel electrophoresis is a technique used to separate DNA fragments based on their size. The DNA samples are loaded onto an agarose gel and an electric field is applied. The DNA fragments migrate through the gel based on their size, with smaller fragments moving faster and traveling farther than larger fragments.

Following gel electrophoresis, the next step is DNA transfer to a membrane. This step involves transferring the separated DNA fragments from the gel onto a solid support membrane, typically made of nitrocellulose or nylon. This transfer is achieved through a process called capillary or electroblotting, where the DNA is transferred from the gel to the membrane by applying an electric current or using a blotting apparatus.

Once the DNA is transferred to the membrane, it can be probed with a labeled DNA probe to detect specific DNA sequences of interest, allowing the students to analyze and study their DNA samples.

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The response rate of the survey conducted by Megan to study bullying in high school is 0.4 or 40%

How to Calculate Response Rate?

The response rate can be calculated by dividing the number of completed survey responses by the number of people who viewed or started the survey.

To convert this to a percentage, multiple your final number by 100.

According to the giving question:

The number of completed survey responses = 400

The number of people who started the survey = 1,000

∴ Response rate = 400/1,000

                           = 0.4 or 40%

Hence the response rate is 0.4 or 40%.

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Answer:

50$×40_=,29

Step-by-step explanation:

no explanation needed

Answer:

7m^4-52m^3-28m^2+67m+42

Answer:

Step-by-step explanation:

We require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

Given that,

Assume that a sample size of 15 will be used to calculate a 95% confidence interval for the population mean.

We have to find how many degrees of freedom should we utilize.

We know that,

The answer to the problem is

A 95% confidence interval is being created.

The sample size is 15 (<30). Therefore, in order to account for the decreased sample size and use the sample SD, we must adapt and use a t-value rather than a Z score.

As a reflection of sample size, it should be noted that the t-value is dependent on the degrees of freedom (df). df = n-1 is the formula used to calculate a confidence interval using the t-distribution.

Therefore, we require a degree of freedom of 14 to create a 95% confidence interval for the population mean from a sample size of 15.

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Answer:

Each piece will be 7 1/2 inches long.

Step-by-step explanation:

If the original length of the string is 22 1/2 inches long, simply divide the total length by 3 to get the length of each resulting equal piece.

22.5 inches / 3 pieces = 7.5 inches/piece

Answer:

7.5 inches

Step-by-step explanation:

\(length \: of \: string = 22 \frac{1}{2} \: in \\ \\ = \frac{45}{2} \: in \\ \\ since \: he \: wants \: to \: cut \: thestring \: in \: three \: \\equal \: pieces \\ \\ \therefore \: length \: of \: each \: piece = \frac{45}{2} \div 3 \\ \\ = \frac{45}{2} \times \frac{1}{3} \\ \\ = \frac{15}{2} \\ \\ = 7.5 \: in\)