104
5
-10
-6
10
N
-10*
Given the graphs of f(x) = 3x - 3 and g(x) = -x + 5, which statements are true?
A)
The system has two solutions.
B)
The system has infinitely many solutions.
C)
Point (2, 3) is the only solution.
D)
Any point on either line is a solution.
E)
The point of intersection is the solution.

Answer:

x > 5

Step-by-step explanation:

add 3 to both sides

9x-3>5x+17

+3      +3

9x>5x+17+3

Simplify

9x > 5x + 20

Subtract 5x from both sides

9x > 5x + 20

-5x      -5x

= x = 5

Hope This Helped

Answer:The answer is -1 1/64

Hope this helps!!

Step-by-step explanation:

try 13 pairs of flippers

It’s in between 10 and 15

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer: XYVW

Step-by-step explanation:

Answer:

hmm maybe try the statement XYVW

Answer:

(2x +30) and (3x -5)  (they're opposite to eachother, so they're equal)

2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)

-1x = -35 (divide both sides by -1 to isolate x)

x = 35 or B (this is your answer)

Step-by-step explanation:

I hope this helps :))

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Answer:

3 sqrt(5) =c

Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9+36 = c^2

45 = c^2

Take the square root of each side

sqrt(45) = sqrt(c^2)

sqrt(9)sqrt(5) = c

3 sqrt(5) =c

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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From the given problem,

Using synthetic division to find the quotient of the expression.

Reaarrange first the expression based on the degree from highest to smallest.

As you notice, there is no x^1 term, so we will add 0x.

Take the coefficients of the numerator then proceed to use the synthetic division.

The coefficients are 2, 3, 0 and 2

The last number at the lower left will be the remainder and the coefficients of the quotient are 2, -1 and 2

This will be :

Note that the remainder is written as r/divisor

r = -2 and the divisor is x+2

Therefore, the answer is :

Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

1. A(1) = 60 B(1) = 35

2. A(7.5) = 60 B(7.5) = 100

3. Data plan A is constantly 60 which means no added fees (good for long usage)

Data plan B constantly charges 10 with 25 as an entrance fee (good for short usage)

4. See attached files and read the text in parentheses at question 3

50 = 10x + 25 || 25 = 10x || x = 2.5

The functions for the total cost per month for data use are linear in each of

the given options.

Correct responses;

The given parameters are;

Both plans data allowance per month = 2 gigabytes

Monthly cost for each option are;

Option A: A(x) = 60 = Constant

Option B: B(x) = 10·x + 25

Solution:

1. The values of A(1) and B(1) are;

A(1) = 60

B(1) = 10 × 1 + 25 = 35

Therefore;

A(1) = $60

B(1) = $35

2. The values of A(7.5), and B(7.5) are;

A(7.5) = 60

B(7.5) = 10 × 7.5 + 25 = 100

A(7.5) = $60

B(7.5) = $100

3. The description of each data plan are;

Option A

Option B

4. Please find attached the graph of the functions of Option A and Option B. From the graph, the most affordable plan to use based on the data usage are;

The amount the student budgets per month = $50

By using Option B, we have;

B(x) = 10·x + 25 = 50

10·x = 50 - 25 = 25

\(\displaystyle x = \frac{25}{10} = 2.5\)

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Answer:

53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

318/6 = 53

There are 6 groups of 53 in 318

Answer:

5

Step-by-step explanation:

You start with each membership for each gym as your starting point, then you add the personal sessions to that number.

Silver Gym: 25 65 105

Fit Factor: 75 105

As you can see, it will take Sarah 5 sessions to have both costs equal

Answer:

\(5x^2+8x-7=0\\a=5\\b=8\\c=-7\)

Step-by-step explanation:

The standard form of a quadratic is \(ax^2+bx+c=0\). You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

Answer:

A or C

Step-by-step explanation:

well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary

Hope this helps

Linear pair example below:

Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

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Part A:

Let x be the number of hours of labor to complete the job

y be the total amount charged.

Since there is an initial charge of $375 for the parts, and $66 per hour, the total amount charged can be written in the equation

Part B:

If James was charged a total of $771, then y = 771, solve for x.

Therefore, the number of labor hours was 6.

Step 1: Start by subtracting 1 from both sides.

3(2x - 1) = 18

-1 -1

3(2x) = 17

Step 2: Divide both sides by 3.

3(2x) = 17

÷ 3 ÷ 3

2x = 17/3

Step 3: Divide both sides by 2.

2x = 17/3

÷ 2 ÷ 2

x = 17/6

Therefore, x = 17/6.

Step-by-step explanation:

Answer: 26,400 feet

Step-by-step explanation:

If one mile is 5,280 feet, then we multiply the number of miles by that.

So, we would do 5,280 x 5, which equals 26,400 feet.

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

\(1.)~Simplify~\sqrt[14]{y} :\)

\(2.)~Simplify~\sqrt[y]{5^4} :\)

\(3.~Simplify~\sqrt{9^3}:\)

\(4.)~Simplify~\sqrt[n]{m}\)°\(:\)

\(5.)~Simplify~\sqrt{y^2}:\)

______________________________

 \(\bold{Answers:}\)

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}\)

Answer:

-1/5 would be your answer.

Step-by-step explanation:

Answer:

Project B is preferable solely from the standpoint of expected monetary return.

Step-by-step explanation:

Calculations of Expected Returns:

Project A:

Net Profits             Probability          Expected Returns:

GHȼ 20,000.00    0.2                      GHȼ 4,000

GHȼ 30,000.00    0.4                      GHȼ 12,000

GHȼ 50,000.00    0.4                      GHȼ 20,000

Total Expected Returns                   GHȼ 36,000

Project B:

Net Profits             Probability          Expected Returns:

GHȼ 100,000         0.5                      GHȼ 50,000

GHȼ 0.00               0.5                      GHȼ 0.00

Total Expected Returns                   GHȼ 50,000

Expected Returns are the returns or income which have been weighed with their probabilities of occurrence.  It is used to determine the best outcome given events that have different probabilities of occurring.   It is an important measure of returns which helps in deciding the best investment option to pursue.

volume= a^2 * h

area= a^2+4ah

take the second equation, solve for h

4ah=1100-a^2

h=1100/4a -1/4 a now put that expression in volume equation for h.

YOu now have a volume expression as function of a.

take the derivative, set to zero, solve for a. Then put that value back into the volume equation, solve for Volume.

Cited from jiskha

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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