Evaluate the rational expression for the given x value. Express the answer as a fraction in simplest form.

To know which one is the best option we have to divide the cost in the number of pencils so:

the second option is:

the thert option is:

So the best option is the second option

Explanation:

We are required to draw the graph of the line that is parallel to y-3=1/3(x+2) and goes through the point (1, 7).

Given the equation of the line:

Compare the equation with the slope-point form of a line:

• The slope of the line, m=1/3

• In addition, the line goes through the point (1,7)

Substitute these values into the point-slope form given above:

Finally, graph the line by looking for another point in addition to point (1,7):

When x=-2

Join the points (1, 7) and (-2, 6) to plot the line.

Answer:

The graph showing the two points is attached below:

Note:

For comparison purposes and to show that the two lines are parallel, the other graph is added below:

Answer:

Concept:

Doubling the dimensions of a prism will increase the new area by 4 times the original area

Tripling the the dimensions of the prism will increase the new area by 9 times the original area

Quadrupling will increase the new area by 16 times the original area

Given that the original area given is

The new area therefore will be

Hence,

The final answer will be

You need to determine which line is perpendicular to the line

For two lines to be considered perpendicular their slopes must be the inverse positive, that is, if, for example, you have the lines

For them to be perpendicular one slope must be the inverse negative of the other such as

The first step is to write the given line in slope-intercept form:

1) Pass the x term to the right side of the equal sign

2) Divide both sides of the expression by "-2"

The slope of the line is

So the slope of a line perpendicular to it will be the inverse negative of it

The correct option is the one that has slope -2

Let 1 and 2 mean that a person is right-handed or left-handed, respectively.

Consider the probability space as the different groups of 12 people that can be formed with the 29 total people. {(1,1,1,1,1,...1),(2,1,1,1,1,...,1),...}

We need to use the binomial distribution in order to find the answer.

Consider X to be the number of right-handed people in the group.

The probability of X=3 is then:

We used the formula

Finally, we need to simplify the expression, as shown below

This is the answer one obtains using the binomial distribution; nevertheless, the actual probability is equal to zero because it is not possible to form a group of 12 people that only contains 3 right-handed people as there are only 5 left-handed people (3+5=8).

The other side of a tile can be called as width of hte tile

Given: A cube with side 6.5 cm

Required: Which calculation does not show the surface area of the cube.

Explanation:

Surface area of cube with side a is 6a².

So here the surface area of cube is

Oprion 2, 3 and 4 reflects the calculation correctly.

But option A is actually the volume of the cube, it is not a correct way to show surface area of the cube.

Final Answer: option A is correct.

The most appropriate unit for Nathan to use instead of centimeters per minute is centimeters per year.

An earthquake simply means a rapid motion of the solid layer of the Earth.

In this case, Nathan told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute.

Since the year is being discussed, the unit should be based on the year.

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Answer:

p = -5

Explanation:

Given the expression

p + 5p - 2p + 4p = -40

6p - 2p + 4p = -40

6p + 2p = -40

8p = -40

Divide both sides by 8

8p/8 = -40/8

p = -5

Hence the value of p is -5

we have only to change pi by 180, and solve the multiplication

profit made from the baseball products

Profit made from the racquetball products

Profit made from those 2 products is

The point of rotation is (3, 2). We would subtract this origin from each vertex. Let us consider vertex D(1, 3). Subtracting, we have (1 - 3, 3 - 2) = (- 2, 1).

if we rotate it 180 degrees, we have (- - 2, - 1) = (2, - 1). If we add the vertex again, it becomes (- 2 + 3, 1 + 2) = (1, 3). If we reflect it over the line, y = 2, we have (3, 2)

The correct options are

B. Rotate 180 degrees

D) reflection over the line, y = 2

Answer: v=8

Step-by-step explanation:

-5+5=0

3+5=8

v=8

Shift 1 produced 11000 rings and Shift 2 produced 1000 rings.

A single firm that owns a majority stake in another company or groups of companies is known as a parent company.

Parent corporations are created through acquisition, merger, spin-off, or carving out of subsidiaries.

A parent company is a business that controls a significant portion of another business, giving it operational authority over that business.

Given :-

Production of  Shift 1 = 11 times of  Production of Shift 2

total production = 12,000 rings

production of ( Shift 1 +  Shift 2 ) = Total production

on solving we get,

Production of  Shift 1 = 11,000 rings

Production of  Shift 2 = 1,000 rings

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The five credit score tiers are listed in ascending order, starting with the lowest tier:

Deep Subprime < Subprime < near prime < prime < super prime

A consumer's credit score may have a big impact on their ability to receive credit. These interactive infographics show how lending practices have changed for borrowers with various credit score profiles.

We focus on the five credit score levels that are commercially available.

The range of subprime credit scores is 580 to 619.

The range of Prime's credit score is from 660 to 719.

Deep subprime credit scores fall below 580.

Near prime credit scores range from 620 to 659.

Super prime credit is defined as having a score of 720 or higher.

The following are the five credit scores, listed from lowest to highest:

Deep Subprime < Subprime < near prime < prime < super prime

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Answer:

Explanation:

Here, we want to get the probability that at least one man is assigned to the swing shift

From the question, 3 of the employees are assigned to the swing shift

Thus we have to calculate the probability of:

1 man , 2 men or 3 men

Mathematically, we have that as:

1 - p(all of the swing shift employees are women)

For the swing shift, for all them to be women, we will be selecting 3 out of 3 so the combination here is 3 C 3 which is 1

We now calculate the probability by dividing this value by the total number of possible ways

Mathematically, we have that as follows:

This is the probability of placing all of the women on the swing shift

So, the probability that at least 1 man is assigned will be:

The coordinates of the vertices after a reflection over the line y=-x are (y, -x)

From the question, the transformation rule is given as

Reflection over the line y=-x

There are four types of transformation,

These transformations are

Each of these transformations have their rule, and they are represented as

So, we have

Reflection over the line y=-x

When represented as a coordinate, the coordinate is

(x, y) = (y, -x)

Hence, the coordinates are (y, -x)

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We have the next inequality given:

Solve the x variable:

Add both sides 4

Divide both sides by 3

Finally, multiply both sides by -1:

Hence, x can take any value greater than -2.

So, the solutions that apply are 0 and 3.

Answer

The coordinates of the resulting point, D' = (5, -3)

Explanation

When a given point with coordinates A (x, y) is reflected over the y-axis, the y-coordinate remains the same and the x-coordinate takes up a negative in front of it. That is, A (x, y) changes after being reflected across the y-axis in this way

A (x, y) = A' (-x, y)

So, for this question where the coordinate is D (-5, -3). it changes in the manner,

D (-5, -3) = D' (-(-5), -3) = D' (5, -3)

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Substituting with a = 3 and b = 2, we get:

ANSWER

EXPLANATION

We want to solve for c in:

To do that, we will make c the subject of the formula:

We have solved for c.

Answer:

f(2)=4

Explanation:

Consider the graph below:

When x=2, the value of f(x) = 4 (the poiny circled in blue above).

Therefore:

The value of f(2) is 4.

the given expression is.,

also, the given expression is,

Solution:

Given the vector h;

The vector in component form is;

we can interpret m as a constant of proportionality.

Solution

For this case we can do the following:

2. Part of lines FE and AB

4. Transitive

1. Given

5. Definition of parallelogram

3. Opposite sides of a parallelogram are II

We know that

• There are 300 students.

• 40% are boys (this means 60% are girls).

• 1/3 of the students wear glasses.

If 1/3 of the students wear glasses, then 2/3 of the students don't wear glasses. Let's find 2/3 of 300.

Therefore, 200 students don't wear glasses.

Then, we divide to find the probability.

Then, we multiply by 100.

The radius of the cylinder is r=3 cm.

The height of the cylinder is h=7 cm.

The expression for the volume of the cylinder is,

Substituting the given values in the above equation,

Thus, option (C) is the correct solution.

multiply 2x - y + z = - 2 for 3

then sunstract the equation 1 and 2

multiply -3x+2y+3z=-6 for 2

adding

multiply y+9z=-18 for 6

Subtracting

then solve

answer is: x = 0, y = 0 and z = - 2