Fátima, Gabriel y José tienen un total de $1080 en sus carteras. Gabriel tiene 3 veces lo que José tiene. Fátima tiene $70 menos
que José. ¿Cuanto dinero tienen en sus carteras?

Answer: y = -4

Step-by-step explanation:

Both points have a y coordinate of -4, meaning the line is horizontal with equation y = -4.

The equation of the line that passes through the points (4, -4) and (-4, -4) is y = -4.

In the question, we are asked to find the equation of the line that passes through the points (4, -4) and (-4, -4).

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be shown as:

m = (y₂ - y₁)/(x₂ - x₁).

Thus, the slope of the line passing through the points (4, -4) and (-4, -4) can be shown as:

m = (-4 - (-4))/(-4 - 4) = 0/(-8) = 0.

The equation of the line passing through the point (x₁, y₁) and having a slope of m, can be shown as:

y - y₁ = m(x - x₁).

Thus, the equation of the line passing through (4, -4) and having a slope of 0, can be shown as:

y - (-4) = 0(x - 4),

or, y + 4 = 0,

or, y = -4.

Thus, the equation of the line that passes through the points (4, -4) and (-4, -4) is y = -4.

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Answer:

2/11 is your slope

Step-by-step explanation:

If you use the point slope form: y2-y1/x2-x1, then you should be able to find your slope with two given coordinates

Answer:2/11

Step-by-step explanation: I am super good at math

Answer:

54 : 24

Step-by-step explanation:

Total: 78 students

Part (boys): 24 students

We can find the number of girls in the school by subtracting the number of boys from the total number of students.

Part (girls): Total - Part (boys) = 78 - 24 = 54

We now have the amount of girls and boys, so we can rewrite as a ratio of girls to boys.

Girls: 54

Boys: 24

Girls : Boys = 54 : 24

Let me know if you have any questions!

Answer:

3/4 +3/4 =

as a mixed number=

Answer:

500 boxes

Step-by-step explanation:

hey there,

< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).

Here is how your equation would look like:

\(0 = -n^2 + 300n + 100000\)

Pretend like "n" is "x" since that is the variable we are trying to find here.

Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

"n" actually ends up equaling 500, -200.

Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer either because it is a negative!! >

Hope this helped! Feel free to ask anything else.

If we use the regression line to make predictions and want to know about the average error in our prediction, we would look at the "R-squared value".

R-squared (R²) is a measurable statistic that quantifies the percentage of the variation explained through an independent variable as well as a regression model's variables for a dependent variable.

Some key features regarding the R-squared value are-

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Answer:

To find the smallest integer value that the frequency density axis needs to reach, we need to first calculate the frequency density for each class interval. The frequency density is calculated by dividing the frequency of each interval by its corresponding class width.

The class widths are:

14 - 0 = 14

18 - 14 = 4

20 - 18 = 2

25 - 20 = 5

40 - 25 = 15

The frequency densities are:

21 / 14 = 1.5

28 / 4 = 7

17 / 2 = 8.5

22 / 5 = 4.4

33 / 15 = 2.2

To plot all of the data, we need to find the maximum frequency density and round it up to the nearest integer. In this case, the maximum frequency density is 8.5, so we need to round it up to 9. Therefore, the smallest integer value that the frequency density axis needs to reach is 9.

Answer:

C

Step-by-step explanation:

y = 3x + 2

Substitute the values

8 = 3(2) + 2

8 = 6 + 2

8 = 8

Equation is true, therefore a solution

A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes.

Yes, there are indeed basic chart types as well as specialized chart types. Basic chart types include things like bar graphs, line graphs, and pie charts, while specialized chart types are designed for more specific purposes, such as organizational charts, flowcharts, and Gantt charts.

In particular, a Gantt chart is a specialized chart type that is commonly used in project management to help visualize the tasks, milestones, and dependencies involved in a project. It is designed to show a timeline of when each task or activity needs to be completed, as well as how long it will take and what resources will be needed.

Overall, while basic chart types are great for general data visualization purposes, specialized chart types like Gantt charts can be incredibly useful for specific tasks or industries, and can help users to more effectively communicate and manage complex information.

A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes. A Gantt chart is designed for project management and helps visualize a project's timeline, tasks, and progress, making it easier to manage and allocate resources.

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Answer:

D

Step-by-step explanation:

Answer:

Car a is moving at 15 miles per hour

Its slope is 15/1

Its equation is y = 15x

Car b is moving at 7.5 miles per hour

Its slope is 7.5

Its equation is y = 7.5x

Car a is moving twice as fast as car b

Step-by-step explanation:

But here's how you solve

Chose 2 points and find the change in y and change in x, then divide in the same order.

Point 1: (1, 15)

Point 2: (2, 30)

Change in y = 15

Change in x = 1

y = miles

x = hours

15 miles/1 hour

You can also do this

Pick a point and just divide it's y by its x. For example:

(4, 60)

60 miles/4 hours

15 miles per hour

Now that we have the slope, we can get the equation for the graph:

y = 15x + 0

or just y = 15x, because there is no y-intercept

Now let's solve for car b:

Chose a point:

(3, 22.5)

Divide its y by its x

22.5/3

7.5

Car b is moving at 7.5 miles per hour

Now that we have the slope, we can get the equation for the graph:

y = 7.5x + 0

or just y = 7.5x, because there is no y-intercept

Compare the speeds

Car a: 15 mph

Car b 7.5 mph

15 > 7.5

So, Car a > Car b

15/7.5 = 2

So Car a moves twice as fast as Car b

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

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Answer:

The selected answer should be correct!

Step-by-step explanation:

I did the problem step by step and got 1 5/7 which is the simplified version of 1 15/21.

I hope this helped somewhat!!

Answer:

z = 7

Step-by-step explanation:

4z + (z+3) + (3z+2) = 61

4(7) + (7+3) + (3(7)+2) = 61

z = 7

In the equations 4 x + 16 y = 12 and x + 4 y = 3, x is equal to 125 and y is equal to 32.

Simplifying

\($4 \mathrm{x}+16 \mathrm{y}=12$\)

Solving

\($4 \mathrm{x}+16 \mathrm{y}=12$\)

X's variable is being solved for.

All terms containing X should be shifted to the left, and all other terms to the right.

'-16y' should be included to both sides of the equation.

\($4 \mathrm{x}+16 \mathrm{y}+-16 \mathrm{y}\\=12+-16 \mathrm{y}$\)

Combine 1 related words:16 y+-16 y=0

\($4 \mathrm{x}+0=12+-16 y$\)

\($4 \mathrm{x}=12+-16 \mathrm{y}$\)

Subtract 4 from each side.

x=3+-4 y

Simplifying

x+4 y=3

Solving

x+4 y=3

x's value is being solved for.

Put all phrases that include x to the left and all others to the right.

'-4y' should be included to both sides of the equation.

x+4 y+-4 y=3+-4 y

Combining related terms: 4 y+-4 y=0

x+0=3+-4 y

x=3+-4 y

Simplifying

x=3+-4 y

x = 125 and y= 32 .

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Liquid detergent do I have left is 8/9.

What is detergent ?

When washing items like clothing or dishes, detergent is a chemical compound that is often in the form of a powder or liquid. Alternatives include washing liquid, soap powder, and cleaner. More detergent synonyms. More detergent synonyms.

I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend.

\(\frac{\frac{2}{3}}{\frac{3}{4}}$$\)

Apply the fraction rule: \($\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$\)

\(=\frac{2 \cdot 4}{3 \cdot 3}$$\)

Multiply the numbers: 2-4=8

\(=\frac{8}{3 \cdot 3}$$\)

Multiply the numbers: 3-3=9

\(=\frac{8}{9}$$\)

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Answer:

A

Step-by-step explanation:

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

Answer:

y = 48 - (8x)

Step-by-step explanation:

x = unknown number of coworkers

y = number of chocolates left over

y = 48 - (8x)

Example: If you were to plug in the number 5 for x:

y = 48 - (8(5))

y = 48 - 40

y = 8

The answer is 48-8f

Ccffcxdfcve

X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

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The probability that they run or bike for exercise is 0.91

The probability that a randomly selected executive runs or bikes for exercise can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This can be expressed mathematically as:

A recent poll of 300 executives revealed how they exercise.

95 reported running, 127 reported biking and 49 reported that they both bike and run for exercise.

If one of these executives is randomly selected, the probability that they run or bike for exercise is 0.91.

This can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This shows that the majority of executives prefer to exercise by running or biking.

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

Plugging in our given values, we get:

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

P(Run or Bike for exercise) = 95/300 + 127/300 - 49/300

P(Run or Bike for exercise) = 0.91

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A. The interest earned would be $25,593.13 minus the total amount invested, which is $29 per month for 36 years.

B. To calculate the interest earned, we need to subtract the total amount invested from the final amount accumulated.

The total amount invested can be calculated by multiplying the monthly investment of $29 by the number of months in 36 years, which is 36 years × 12 months/year = 432 months.

So the total amount invested is $29 × 432 = $12,528.

Now, to find the interest earned, we subtract the total amount invested from the final amount accumulated.

Therefore, the interest earned is $25,593.13 - $12,528 = $13,065.13.

This means that over the 36 years of investing $29 per month, the account has earned an interest of $13,065.13.

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