CAN SOMEONE HELP ME ASP!!
The profit function, P(x) , revenue function, R(x), and cost function, C(x), are related by the equation P(x)=R(x)-C(x) . Manuel has determined that the revenue and cost functions for a new product line at his business are given by these functions. R(x)=3x C(x)=600+2x. What is the profit function in standard form for Manuel's new product line

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer:

31.7919075 % decrease

Step-by-step explanation:

To find the percent decrease

Take the original amount and subtract the new amount

1.73 billion - 1.18 billion =.55 billion

Divide by the original amount

.55 billion / 1.73 billion

.317919075

Change to percent form

31.7919075 % decrease

The total length of the fence = 1000m

Assumption: The farmer uses the existing boundary fence as one of the sides

This means we will be considering 3 sides

Total length = 2 widths + 1 length

let the width of the fence = w

2 widths = 2(x) = 2w

Total length = 2w + length

1000 = 2w + length

length = 1000 - 2w

To solve the question, we will make an illustration of the fencing

Area of the fence = length × width

To get the largest possible area, we will find the derivative with respect to w:

To get the length, we will substitute the value of the width into the length formula:

The largest possible area:

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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Answer:

least common denominator for 2 and 5 is 10.

Answer:

y = -1x -3

Step-by-step explanation:

The dimensions of the length and width are 25 meters and 12. 5 meters respectively.

Area of a rectangle

area of rectangle = l × w

where

l = length

w = width

Note that,

Perimeter = 2w+ l

50 = 2w + l

l = 50  - 2w

Hence,

area = w(50 - 2w)

288 = 50w - 2w²

-2w² + 50w - 288 = 0

-w² + 25w - 144 = 0

The dimension w can be found as follows;

w = - b / 2a

where

a = -1

b = 25

w = - 25 / 2 ×  -1

w = 12.5 meters

Then, we have that

l = 50  - 2w

Substitute the value of w

l = 50 - 2(12.5)

l = 50 - 25

I = 25 meters

Thus, the dimensions of the length and width are 25 meters and 12. 5 meters respectively.

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Answer:

No

Step-by-step explanation:

Inconsistent means it has no solution, which means they do not intersect

Dependent means it is the same line

You cannot have both the same line and not intersecting.

Answer:

Question 6

Question 7

Step-by-step explanation:

Question 6

AC and BD are the diagonals of the rectangle ABCD

The diagonals of a rectangle are equal

∴ BD= AC

Substituting for AC and BD in terms of their expressions in x:

4x + 5 = 3x + 12

4x-3x + 5 = 12    --> subtract 3x from both sides

x + 5 = 12

x = 12-5 = 7

Therefore BD = 4x + 5 = 4(7) + 5 =33

Question 7

In square BELF, ∠BSE is formed by the intersection of its two diagonals BL and EF

The diagonals of a square  have the following properties

We will use the third property that at intersection the angles formed are of 90°. One of these 4 angles is ∠BSE

m∠BSE = 90°

But m∠BSE = 7x + 13

Equating the two:

7x + 13 = 90

7x = 90-13 = 77

x = 11

In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.

Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.

It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.

Answer:

\(s = 4\pi {r}^{2} \\ \frac{ds}{dr} = 8\pi r =8\pi(2) = 16\pi \\ from \: chain \: rule \\ \frac{ds}{dr} = \frac{ds}{dt} . \frac{dt}{dr} \\ but \: \frac{ds}{dt} = 1 \\ 16\pi = 1 \times \frac{dt}{dr} \\ \frac{dt}{dr} = 16\pi \\ \frac{dr}{dt} = ( \frac{dt}{dr} ) ^{ - 1} \\ \frac{dr}{dt} = \frac{1}{16\pi} \)

Answer:

6√17 units

Step-by-step explanation:

A property of rectangles is that their opposite sides are equal in length.

Hence, to find the perimeter :

Finding AB by applying distance formula :

Finding BC :

Perimeter :

Answer:

\(20x+240y/y\)

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

Answer:

750160 ez

Step-by-step explanation:

Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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Answer:

3x +2y = 11 .... 1

x +5y = 8....2

x + 5y = 8

multiply by -3 on both sides

-3x - 15y = -24

-3x - 15y = - 24

3x +2y = 11

-13y = -13

y = 1

substitute the value of y in 1 or 2

3x +2y = 11

3x = 11 - 2y

3x = 11 - 2(1)

3x = 9

x = 3

(x;y) ( 3 ; 1)

eq(2)×3

eq(1)-eq(3)

Putting in eq(2)

Pair

Answer:

Step-by-step explanation:

these seem complicated,  but just think about what they are asking.  they are giving you a point and a slope to a line.  

That gives you the hint to use the "point-slope"  formula

if you don't have it memorized you might as well start trying to now.  You'll need this over and over and over...

y-y1=m(x-x1)

so plug in the given info

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

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

y-4 = (-1/4)x  -1/2

y = (-1/4)x + 7/2   this is the slope intercept formula. y = mx +b

we can now graph this line with the slope intercept formula.

note the graph does pass through (-2,4)  and has a  -1/4 slope   :)

Answer:

solution 1: 3

solution 2: 9

Step-by-step explanation:

1) solution 1 + solution 2 = 12;

2) solution 1 * solution 2 = 27;

3) only 3 and 9 meet these two requirements.

note. this equation can be resolved using another way.

Answer:

Step-by-step explanation:

Step-by-step explanation:

#1 1.6

#2 1:2

#3 $160.00

#4 1,800

#5 $360

#6 2

#7 250

I hope I helped you

I'm sorry for late

Answer:

0.7

Step-by-step explanation:

Answer:

  A.  70/100 +4/100

  B. 0.700, 0.7, 0.70

Step-by-step explanation:

A. The number between Ryan's 70/100 and Sarah's 80/100 will be 70/100 + some number less than 10/100, such as ...

  70/100 +4/100

__

B. Trailing zeros (or their lack) don't change the value. Ryan has 70/100 = 0.70 of the grid shaded. Equivalent numbers are ...

  0.70

  0.7

  0.700

y is given already

\(\\ \rm\Rrightarrow 2x-6=2\)

\(\\ \rm\Rrightarrow 2x=2+6\)

\(\\ \rm\Rrightarrow 2x=8\)

\(\\ \rm\Rrightarrow x=\dfrac{8}{2}\)

\(\\ \rm\Rrightarrow x=4\)

Answer:

x = 4; y = 6

Step-by-step explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

Answer:

A. Hope it helped brainiest plz and thank you have a great day!!

Step-by-step explanation:

It's A. because 4 is still below 5 which means it goes to whatever you round it to so in this case it's 1000 which would be a. because it stays in the nearest 1000 which is 4.000

The rule for rounding is 5 below will stay in the number you round which means it stays in the number it is 5 and up they will round to what you round it to.

The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6