The graph below shows the cost of college tuition per credit hour at a local community college.

(graph in image)

Write the equation in slope-intercept form for the cost of college tuition in terms of the number of credits. Then, complete the table of values for the function.

y = __x + __


How much money, y, will it cost to take 12 college credits, x?

It will cost $___.

A graph of the system of inequalities is shown in the image attached below.

The region that represents the combinations of balloons and streamers that Tamara can purchase is the shaded region that contains the point (1, 3).

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of balloons and number of streamer rolls respectively, and then translate the word problem into algebraic equation as follows:

Since one package of balloons costs $4.50 and streamers are $1.50 per roll, and Tamara wants to spend no more than $15 on decorations, a linear inequality to describe this situation is given by:

4.50x + 1.50y ≤ 15.

Additionally, Tamara knows she will be buying at least 2 rolls of streamers;

y ≥ 2

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The value of x is given as follows:

x = 13.5.

Similar triangles are triangles that share these two features presented as follows:

The proportional relationship for the side lengths is given as follows:

9/x = 7/10.5.

Applying cross multiplication, the value of x is obtained as follows:

7x = 9 x 10.5

x = 9 x 10.5/7

x = 13.5.

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40 degrees Is the answer.

Hope this helps mate.

PLs give brainliest

Answer:

40

80 + (16x-4) + (9x +4) =180

x=4

BAC = (9*4+4)

BAC = 40

BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given E and F are mid point of equal sides AB and AC of triangle ABC

In ΔABF and  ΔACE

AB=AC  (given )

∠A=∠A  (common angle )

The side FA is equal to EA

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF ( Corresponding parts of Congruent triangles.)

Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.

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Answer:

b value is 3

rise = 3 run = -2

another point could be (2,0)

Step-by-step explanation:

Answer:  The height of the tree is approximately 44 ft.

Step-by-step explanation:  Step 1: Calculate the ratio of the person's height to the length of their shadow.

Person's Height: 5 ft

Length of Shadow: 4 ft

Ratio: 5 ft/4 ft = 1.25

Step 2: Use the ratio to calculate the length of the tree's shadow.

Length of Tree's Shadow: 22 ft

Ratio: 1.25

Calculation: 22 ft/1.25 = 17.6 ft

Step 3: Multiply the length of the tree's shadow by the ratio to calculate the tree's height.

Length of Tree's Shadow: 17.6 ft

Ratio: 1.25

Calculation: 17.6 ft x 1.25 = 22 ft

Answer: The height of the tree is approximately 44 ft.

Angle-Angle Similarity Postulate states that  two polygons are similar if and only if they have two corresponding angles that are congruent.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given that two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

The statement above is the Angle-Angle Similarity Postulate, which states that two polygons are similar if and only if they have two corresponding angles that are congruent.

Hence, Angle-Angle Similarity Postulate states that  two polygons are similar if and only if they have two corresponding angles that are congruent.

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Answer:

Angle-Angle Similarity Postulate

Step-by-step explanation:

9tailsminato9.

The inequality to represent the height of roller coaster is x≥52.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that. in order to ride a roller coaster at the theme park, riders must be at least 52 inches tall.

Let the height be x.

Now, x≥52

Therefore, the inequality is x≥52.

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The temperature measure 92 is warmer than 40 by a measure of; 52.

It follows from the task content that it is required to be determined, how much warmer is 92 than 40.

Since the greater temperature measure is; 92 while the lesser is 40.

It can be concluded that the temperature difference is; 92 - 40 = 52.

Ultimately, the measure 92 is 52 warmer than 40.

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The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:

-9x - 7 - (-4x + 4)

Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4

Combining like terms on the right side:
-9x - 7 + 4x - 4

Combining the remaining terms:
-5x -11

Thus, the requried simplified expression is given as -5x-11.

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To solve the equation 3/4 x = -6 for x in one step, you can multiply both sides of the equation by 4/3:

3/4 x = -6

4/3 * (3/4 x) = 4/3 * (-6)

x = 8

Step-by-step explanation:

So in order to find out how much he needs to sell, let's find out what the target is. We do that by working options A.

$19 for 40 hours

[tex]40 \times 19 = 760[/tex]

Now that we have 760, we know this amount is 8%. Next we setup a ratio

[tex] \frac{760}{x} = \frac{8\%}{100\%} [/tex]

We cross multiply

[tex]8x = (760)(100)[/tex]

[tex]8x = 76000[/tex]

Last but not least, we divide by 8 on both sides

[tex]x = 9500[/tex]

The amount of the $ 3, 900 charge that Patrice has made after paying off the first month is $ 246.73.

To find the amount that Patrice has paid out of the $ 3, 900 charge to the credit card, look at the principal payments made since that day. Add them all up to get the amount paid from the charge.

The amount paid from the charge is :

= 42. 25 + 41. 79 + 41. 34 + 40. 89 + 40. 45 + 40. 01

= $ 246.73

In conclusion, out of the $ 3, 900 charge, Patrice has paid $ 246. 73.

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Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

The properties that are always true are: Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Sum of all angles equals 360. Diagonals bisect each other.

A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a form. The term "diagonal" refers to lateral forms with sides, edges, and corners.

The properties that are always true are:

Opposite sides are congruent.

Opposite sides are parallel.

Opposite angles are congruent.

Sum of all angles equals 360.

Diagonals bisect each other.

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Yes, The matrix does indeed have an inverse.

A rectangular or square array of figures, characters, or expressions arranged in rows and columns is known as a matrix. In many different disciplines, including computer science, engineering, physics, and mathematics, matrices are frequently employed and Matrix representations of physical phenomena, such as the wave functions in quantum mechanics, are common in physics. To represent and simulate complicated systems, like circuits and control systems, engineers employ matrices. Matrix-based techniques are utilised in a variety of computer science applications, including image processing, computer graphics, and machine learning.

The elements of a matrix, which are often written with a rectangular bracket, can be used to symbolise it.

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Yes, the inverse of a matrix exists if the determinant of the matrix is -13.

What is a matrix?

Linear equations are expressed using matrices, which are ordered rectangular arrays of numbers. Columns and rows make up a matrix. Mathematical operations like addition, subtraction, and matrix multiplication can also be done on matrices. If there are m rows and n columns, the matrix is represented as m × n matrix. The inverse of a matrix is available only for square matrices.

Now the determinant is a value that is associated with a square matrix.

The product of all the elements in any row or column and their corresponding co-factors is the determinant of a matrix.

For an inverse matrix to exist, the determinant of the matrix should not be zero. This is because the determinant of the inverse matrix is the inverse of the determinant of the original matrix.

If the determinant is zero, then the determinant of the inverse matrix will be 1/0, which is undefined.

So, as long as the determinant is not equal to zero, the inverse matrix exists.

Therefore the inverse of a matrix exists if the determinant of the matrix is -13.

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Answer: No, the area will not stay the same.

The new area is smaller than the old area.

========================================================

Explanation:

Let's look at an example.

Consider a 10 by 30 rectangle. Its area is 10*30 = 300 square units.

Now let's change the length and width.

The rectangle is now 12 by 24. The new area is 12*24 = 288 square units.

In summary:

This is one counterexample, of infinitely many, that proves the area does not stay the same. Instead, the area shrinks.

-----------------

This section will go over a more formal proof using algebra.

old area = length*width = LW

Let's say the length increases by 20% and the width decreases by 20%.

Then,

new area = (new length)*(new width)

new area = (1.20L)*(0.80W)

new area = (1.20*0.80)*(LW)

new area = 0.96*(LW)

new area = 0.96*(old area)

This shows that the new area is 96% of the old area. There has been a 4% reduction (since 100% - 96% = 4%)

Notice how 96% of 300 = 0.96*300 = 288. See the previous section above.

The units are 8 minutes, 28 centimeters.

The unit rate of the graph is 3.5 centimeters/minute

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

The 8 belongs to the time axis, so the unit is minute (min). The 28 belongs to the water level axis, so the unit is centimeters (cm).

The unit rate of the graph is time divided by the water level. That is:

unit rate = 28/8 = 3.5 centimeters/minute

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The " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles.

So the " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles. In MATLAB, the standard syntax for multiplying matrices is:

When the dimensions of A and B satisfy the matrix multiplication rule, the css copy code C = A * B can be used. Particularly, the number of rows in matrix B and the number of columns in matrix A must match.

The resulting matrix C will be the same size in terms of both rows and columns as matrix A and matrix B. Here is an illustration of how matrix multiplication functions in MATLAB:

A = [1 2; 3 4];% Define matrix A B = [5 6; 7 8];% specify matrix.

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Answer: I would say it’s D. $1,795

Step-by-step explanation: why not pick D….

Hope this helps^^

The simple interest earned on $3000 after 5 years at 5.3% rate of interest is $795. The correct option is C .

Given,

Principal amount = $3000

Rate of interest = 5.3%

Time = 5 years

Now,

Simple interest = Principal × ROI ×Time/100

Substitute the values ,

Simple interest = 3000 * 5.3 * 5/ 100

Simple interest = 79500/100

Simple interest = $795

Total amount after 5 years = $3000 + $795

= $3795

Hence simple interest earned on $3000 at ROI of 5.3% after 5 years will be $795 .

Therefore option C is correct.

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Answer:

Step-by-step explanation:

So when solving for the perimeter you need to add up all the sides. So 15 + 15 = 30 and 19 + 19 = 38. So 38 + 30 = 68 inches. So there is your answer. 68 inches is the perimeter.

Answer:

There are 6 zeros in one million.

Step-by-step explanation:

1000000 (one million)

6 zeros

On solving the expression, we get -> (8q + 8.7).

In mathematics, an expression or mathematical expression is a combination of terms, both constants and variables. For example -

2x + 4y + z

Given is the algebraic expression as -

- (- 8q - 8.7)

The given expression is -

- (- 8q - 8.7)

- (- 8q) - (- 8.7)

8q + 8.7

Therefore, on solving the expression {- (- 8q - 8.7)}, we get -> (8q + 8.7).

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Answer: In the class president election at Wilson Middle School, 296 students voted for Luke.

Step-by-step explanation:

The conversion from pounds (lb) to kilograms (kg) is determined by multiplying the weight in pounds by 0.45359237. The formula to convert pounds to kilograms is kg = lb x 0.45359237.

To calculate the weight of 205 pounds in kilograms, the calculation is as follows: kg = 205 lb x 0.45359237 = 92.98 kg.Therefore, the weight of 205 pounds is equal to 92.98 kilograms. This calculation can also be used to convert any weight in pounds to its equivalent in kilograms. For example, to convert 500 pounds to kilograms, the calculation would be: kg = 500 lb x 0.45359237 = 226.79 kg.This calculation can be used to convert any weight in pounds to its equivalent in kilograms. It is important to remember that the formula must be used correctly and that all units must be consistent. It is also essential to ensure that the result is rounded to the correct number of decimal places for accuracy.

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We would expect to see around 200 fewer accidents per year among 16-year-old drivers in your state if the proposal to increase the permit period from 6 to 12 months is implemented.

Estimation is the process of determining an estimate or approximation, which is a value that can be used for a specific purpose even when the input data is incomplete, uncertain, or unstable.

It is difficult to predict exactly how many fewer accidents would occur as a result of increasing the time a driver must hold a learner's permit from 6 to 12 months. However, there is evidence to suggest that longer permit periods can result in fewer accidents, as novice drivers have more time to gain experience under supervision before obtaining a full license.

According to research by the Insurance Institute for Highway Safety, increasing the permit period from 6 to 12 months could lead to a 20% reduction in crash rates among 16-year-old drivers.

Assuming this reduction holds true in your state, we can estimate the number of accidents that would be prevented by multiplying the current number of accidents involving 16-year-old drivers (let's assume 1,000 per year) by 20%, or 0.2. This gives us an estimated reduction of 200 accidents per year.

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Aiden's new hourly wage would be 16.64 per hour.

Solution:

We have been given that Aiden's hourly wage is 16.00 per hour

So, If he gets a 4% raise then his hourly wage will be,

16* (100+ 4) / 100 = 16.64

Therefore, Aiden's new hourly wage will be 16.64 per hour.

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The slope of the line is 9.75 and the y-intercept is -25.

What is a linear function?

Two distinct but related concepts are referred to by the phrase "linear function": A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Here, we have

Given: Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister which she has to pay back before she can start saving.

Let the linear function that models the given situation be y = ax + b. Here, a and b are constants.  We can use this information to find the values of a and b.

We put x = 0 and y = -25 into y = ax + b

b = -25

Substitute the value of b into y = ax + b

y = ax -25...(1)

Now we put x = 4 and y = 14 in equation(1) and we get

14 = 4a - 25

4a = 39

a = 9.75

Substitute the value of a in equation (1):

y = 9.75x - 25

Compare the above function with the slope-intercept form of a line y = mx + c

m = 9.75, c = -25

Hence, the slope of the line is 9.75 and the y-intercept is -25.

A. From the previous calculations, it is clear that the slope of the line is 9.75. Hence, the first statement is not true.

B. From the given table, it is known that person Y had started working with -25 dollars. Clearly, 9.75 is the slope of the line, but it does not represent the initial amount that person Y had at x = 0. Hence, the second statement is not true.

C.  From the previous calculations, it is clear that the y-intercept is -25, not 0. Hence, the third statement is not true.

D. From the previous calculations and the given table, it is clear that the y-intercept is -25, and it does represent the initial amount that person Y had at x = 0. Note that the y-intercept is negative as the person has borrowed 25 dollars from her sister. Hence, the fourth statement is true.

E. From the previous calculations, it is clear that the slope of the line is 9.75. It is known that the slope of a line represents the rate of change in the value of y with respect to x. So, it can be concluded that 9.75 represents the amount that person Y earns per hour. Hence, the fifth statement is true.

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Answer:

10.125 hours

Step-by-step explanation:

We can convert 6 3/4 hours into minutes by multiplying it by 60

this equals 405. Jill spent 405 minutes doing homework.

Jack spent 1 1/2 times as long on his homework as Jill (1 1/2 is equivalent to 1.5)

We can multiply 1.5 x 405 and get 607.5 which means Jack spent 607.5 minutes doing homework

607.5 minutes is equivalent to 10.125 hours.

Answer:       (1/2)c

To write an algebraic expression, convert parts of the verbal expression.

An expression is numbers or variables with operations performed between them. It does not have an equal sign.

Operations are ways we change numbers, usually to make them bigger or smaller. Examples of operations are multiplication, division, subtraction, addition, and square root.

The question says:     "half as big as last night’s crowd"

last night's crowd = c

'half as big' = 1/2

Therefore, we can represent the problem using the expression  [tex]\frac{1}{2}c[/tex].

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