What is the expression x - 4 represents a negative integer. What integers could X represent?

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

[tex]4.5-2.5[/tex]

According to the number line,

First we go 4.5 units towards the positive axis of x from the origin.

And then back by 2.5 units from there towards the negative axis of x to show the subtraction.

So, it will interpretate the subtraction of 2.5 from 4.5.

Numerically, it is expressed as

4.5-2.5=2

So, It should reach at 2 in the positive axis of x.

Hence, First option is correct.

A number line that correctly shows 4.5 – 2.5 is: A. number line A.

In Mathematics and Geometry, a number line refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

Based on the information provided above, we have:

4.5 - 2.5 = 2.

Solution = 2.

Therefore, number line A is the correct representation of 4.5 - 2.5 = 2.

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To evaluate the expression (x-2y)² where x=3 and y=2, substitute the values of x and y into the expression and simplify.

To evaluate the expression (x-2y)² where x=3 and y=2, we substitute the values of x and y into the expression.

Substituting x=3 and y=2 into the expression, we get (3-2*2)².

Solving this expression, we have (3-4)^2 which simplifies to (-1)².

Finally, (-1)² equals 1.

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Follow below steps;

Monique Fournier wants to find out how much her $12,500 savings account, with an annual interest rate of 6.5% compounded monthly, will grow to after 3 years. To calculate the future value of this investment, we can use the compound interest formula:

FV = P times (1 + r/n)^(nt)

Where:

Plugging the numbers into the formula gives us:

FV = $12,500 times (1 + 0.065/12)^(12  imes 3)

After calculating, Monique's account balance after 3 years will be:

FV = $12,500 times (1 + 0.0054167)^(36)

FV = $12,500 times 1.0054167^36

FV ≈ $12,500 times 1.214669

FV ≈ $15,183.36

After 3 years, Monique Fournier will have approximately $15,183.36 in her savings account

The optimal pH for Salivary Amylase is 6.9, which supports its maximum activity in the slightly acidic environment of the mouth before the food enters the stomach.

The optimal pH for the enzyme Salivary Amylase is 6.9. This optimal pH allows the enzyme to exhibit its maximum catalytic activity. Enzyme activity typically increases with pH up to their optimal point and then decreases with further deviation from this optimum. As enzymes are affected by the environment they are in, Salivary Amylase, which is present in the mouth, functions best at a slightly acidic pH of 6.9, before the food moves to the more acidic environment of the stomach.

The graph shows the activity of different enzymes at different pH levels. To determine the optimal pH for Salivary Amylase, we need to look for the pH value at which the activity is highest for this specific enzyme. From the graph, we can see that the enzyme's activity is highest at pH 7-7.5, which corresponds to its optimal pH. This indicates that Salivary Amylase works most efficiently at a slightly acidic pH.

The optimal pH for the enzyme Salivary Amylase is around 6.9. It breaks down cooked starch into maltose in the mouth, but its activity is deactivated in the stomach.

The optimal pH for the enzyme Salivary Amylase is around 6.9, as indicated in the information provided. Salivary amylase is responsible for breaking down cooked starch into maltose in the mouth. However, its activity is deactivated in the stomach due to the presence of hydrochloric acid (HCl) and the activation of pepsinogen to pepsin.

Answer:

133606 persons

Step-by-step explanation:

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

We have to find the number of persons who attend the Magic's game more than Pacer's game.

To find this, we have to find the difference

Number of persons attended the Magic's game= 715,901 games

Number of persons attended the Pacer's game= 582,295 persons

Number of persons who attended More Magic's game= 715901- 582295

Number of persons who attended More Magic's game= 133606 persons

Hence, the correct answer is 133606 persons

Answer:

6.5 x 10∧6 is the answer.

Step-by-step explanation:

Plane X in this scenario represents a mathematical concept in statistics. It illustrates the mean number of unoccupied seats from a sample of 225 flights. Therefore, it could also be referred to as 'the mean plane' or 'the plane of unoccupied seats'.

In this context, plane X represents a mathematical term commonly used in statistical analysis. It is a hypothetical plane used to denote a statistical value, in this case, the mean number of unoccupied seats from a sample of 225 flights.

So, another name for plane X could be 'the mean plane' or 'the plane of unoccupied seats' to specifically denote the statistical property it represents in this problem. Remember, this is not a physical plane but a concept employed in statistics to help comprehend and visualize data.

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A line segment can be divided into subsegment using ratios. The difference between [tex]AP:PB[/tex] and [tex]AP: AB[/tex] is that:

Given:

[tex]AP:PB[/tex] and [tex]AP: AB[/tex]

In [tex]AP:PB[/tex], we can see that AP and PB has a common point (P).

This means that:

[tex]AB = AP + PB[/tex]

i.e. AP and PB are two subsegments of line segment AB.

So, the ratio [tex]AP:PB[/tex] compares the two subsegments of AB

Because AP and PB are two subsegments of line segment AB.

Then, ratio [tex]AP: AB[/tex] compares a segment of AB to the whole length of AB.

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The quadratic equations that are less steep than  f(x)= -4x² are:

Here we want to identify which equations have graphs less steep than the graph of the quadratic f(x) = -4x²

To identify those, we just need to see which equations have a leading coefficient with a smaller absolute value than |-4| = 4

These equatios are:

h(x) = -3x²  ---> With a leading coefficient of -3, absolute value of 3.

j(x) = -x² ---> with a leading coefficient of -1, absolute value of 1.

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Answer:

AAS

Proportional

Segment Addition Postulate

Step-by-step explanation:

Confirming that the other answer on here is correct! :D

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction.

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

In addition to this, the operations within the parentheses should be ideally performed first. it must be then followed by exponents, then multiplication and division, and finally addition and subtraction.

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Answer: [tex]\frac{x}{14}=\frac{1.8}{4}[/tex]

Step-by-step explanation:

Let 'x' be the height of tree.

The length of shadow of a tree = 14 m

The length of shadow of a person =4 m

The height of person = 1.8 m

Since both man and tree are standing vertical to the ground.

Assume the formation of shadow is happening at the same time then the angle that the sun hits the earth making shadows of both person and tree will be equal.

By direct proportion , we have

[tex]\frac{\text{height of tree}}{\text{length of shadow of tree }}=\frac{\text{height of person}}{\text{length of shadow of person}}\\\\\Rightarrow\frac{x}{14}=\frac{1.8}{4}[/tex]

The correct answer would be:

14/1.8 = x/4

I just finished with that assignment and it said it was correct :-)

The average rate of change of the given function from x = -1 to x = 2 is -1.

The average rate of change of a function between two points, x = a and x = b, is calculated as the difference in the function values at these points divided by the difference in x-values, which is similar to the slope formula for a linear function (gradient).

In this case, we are looking for the average rate of change of f(x) = x^4 - 2x^3 from x = -1 to x = 2. Using the table provided:

f(-1) = 3

f(2) = 0

So, the average rate of change is:

(f(2) - f(-1)) / (2 - (-1)) = (0 - 3) / (2 - (-1)) = (-3) / 3 = -1.

Answer:

The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n  +7

Step-by-step explanation:

The given expression is (m + n + 3) + (m + n + 4)

we need  to find the sum of this expression

so, first we add the similar terms

m + n + 3 + m + n + 4

first write the like term together and then constant,

⇒ m + m + n + n +3 + 4

⇒ 2m + 2n  +3 + 4

⇒ 2m + 2n  +7

Therefore, The sum of of the polynomials (m + n + 3) + (m + n + 4) is 2m + 2n  +7

divide 6 1/6 by  1 1/6

6 1/6 = 37/6

1 1/6= 7/6

37/6 / 7/6 =

37/6 * 6/7 = 222/42 = 5 12/42 = 5 2/7 weeks