Simplify 5(x - Y) - (x - Y) (2024)

The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. To find the equation of the line through (3, 5) and (4, 1), we can use either point as (x1, y1) and find the slope between the two points:

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

Using the first point, (3, 5), we have:

m = (1 - 5) / (4 - 3) = -4

So the equation of the line in point-slope form is:

y - 5 = -4(x - 3)

Expanding and simplifying, we get:

y = -4x + 17

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The number which has 2 digits which when added would give a sum of one is 10.

How to find the number ?

The two digit number is said to be such that when the two digits in it are added, the sum would be 1. We can therefore infer that at least one of the digits would be 1 because 1 is the smallest number that can be added to another number to give 1.

The second digit can then be found by using the formula :

1 + x = 1

Here, x would be the second digit which is:
1 + x = 1

x = 1 - 1

x = 0

The 2 digit number is therefore 10.

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The complete table of values is

Customers Minutes

1 1/2

3 3/2

4 2

6 3

How to complete the table of values

From the question, we have the following parameters that can be used in our computation:

6 customers entered a store over the course of 3 minutes.

This means that

6 customers = 3 minutes.

Divide by 3

2 customers = 1 minute

Using the above as a guide, we have the following:

1 customers = 1/2 minute3 customers = 3/2 minute4 customers = 2 minute6 customers = 3 minutes.

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Step-by-step explanation:

What we do here is divide the price of an item by the amount of the item

For shrimp:

[tex] \frac{12.16}{4.07} = 2.99[/tex]

For the bag

[tex] \frac{14.99}{5.11} = 2.93[/tex]

Looks like the second option is better because it's cheaper per unit price by 6 cents

The true option based on the information is that C. If the outlier were removed, r would increase.

How to convey the information

There is one outlier corresponding to a day on which the refrigerator for soda was broken. Now, the correlation coefficient cannot be more than 1; so 1.2 is not a reasonable value of r.

Now, even if the temperature is measured in Celcius, that means a scale and origin change for one variable; that would not change r.

Now, we know that, an outlier in one variable that is a "typical" point in the other variable will tend to reduce the magnitude of the correlation.

So, if the outlier was removed, r would increase.

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Answer:

Which angles measure LESS than 40°?

It's m∡AHB and m∡DHF

Step-by-step explanation:

[tex](4x - 5)\° + (3x + 11)\° = 90\°\\\\\\4x - 5 + 3x + 11 = 90\°\\\\7x + 6 = 90\°\\\\7x = 90\° - 6\\\\7x = 84\°\\\\x = \frac{84\°}{7} \\\\x=12\°[/tex]

m∡AHB = 2x + 14 = 2(12) + 14 = 24 + 14 = 38°

m∡BHC = 4x - 5 = 4(12) - 5 = 48 - 5 = 43°

m∡CHD = 3x + 11 = 3(12) + 11 = 36 + 11 = 47°

m∡DHF = 3x + 3 = 3(12) + 3 = 36 + 3 = 39°

m∡FHG = 5x - 19 = 5(12) - 19 = 60 - 19 = 41°

Resolviendo una ecuacion veremos que tenias 15 pesos originalmente, entonces gastaste 3 pesos en la cena y 5 en el cine.

¿Cuánto gaste en el cine y cuanto en la cena?

Definamos la variable D como el dinero que llevabas.

Sabemos que gastaste un tercio de esto y luego un quinto, y al final tenias 7 pesos.

Entonces podemos escribir la ecuacion:

D - (1/3)*D - (1/5)*D = 7 pesos.

D*(1 - 1/3 - 1/5) = 7 pesos.

D = 7/(1 - 1/3 - 1/5) pesos

D = 15 pesos.

Lo que gastaste en el cine es:

(1/3)*15 pesos = 5 pesos

Lo que gastaste en la cena es:

(1/5)*15 pesos = 3 pesos.

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Answer:

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia

Step-by-step explanation:

The developer expects to get $20,000 per year in rent from office space, and $110,000 per year in rent from retail stores.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let's call the expected rent from office space "x". Then the expected rent from retail stores would be 5.5x.

The total expected rent for both types of space is $130,000, so we can set up the following equation:

x + 5.5x = $130,000

Solving for x:

6.5x = $130,000

x = $20,000

Now, the rent from retail stores = 5.5 × $20,000 = $110,000.

Thus, he expects to get $20,000 per year in rent from office space, and $110,000 per year in rent from retail stores.

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Answer:

Step-by-step explanation:

(-5)2 means you are multiplying -5 and 2 which gives you -10:

-5x2 = -10

-5^2 means you are multiplying -5 by -5 which gives you 25:

-5x-5 = 25

the difference is that for the first one you multiply -5 by 2 and for the second one you multiply -5 by itself.

Answer:

6

Step-by-step explanation:

We can solve this system of equations by graphing.

Using a graph of the system: (see the attached image)

y = 6x - 7

y = 3x + 11,

we can determine that the solution to the system is (6, 29).

Therefore, the x-coordinate of the point—in Cartesian format (x, y)—at which the graphs of the equations intersect is 6.

Answer:

6

Step-by-step explanation:

I took the test. Also, give the other person brainliest.

Answer:

X=25

Step-by-step explanation:

Answer:

x = 21 or 25

Step-by-step explanation:

Answer: Hmm..

Well I think you need to like multiply the corners of the triangeles by 4-2

Step-by-step explanation:

good luck

The z-score when x = 26 is 3.

What is the z score?

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. When a data point's Z-score is 0, it means that it equals the mean score.

The standard score is the amount of standard deviations that a raw score's value deviates from or exceeds the mean of the observed or measured phenomenon.

The z-score when x = 26 is

26 - 20 / 2

= 3

The mean is 20

This z-score tells you that x = 26 is 3 standard deviations right of the mean.

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It is false, he discovered gravity by observing a comet.

How did Isaac Newton "discovered" gravity?

Gravity is one of the fundamental forces and it is a force that acts between bodies that have mass.

The strength of the force depends of the masses of the objects, and decrases with the distance squared.

The story says that Isaac Newton saw an apple fall from a tree, and he concluded that "the apple was being attracted by the mass of the earth" but that is a way of "easily" explaining it.

Actually, Newton was observing a comet that passed near the Sun, and he noticed that the path of the comet changed a little bit when it was near the Sun. At this point there where two possible theories, that there were actually two comets, or that in some way the Sun changed the path of the comet.

There weren't two comets, then Newton concludes that there was a force, due to the large mass of the Sun, that affected that comet's path, and that force was called "gravity"

So no, he did not discover gravity when an apple fell down.

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Key Takeaways
Moving averages smooth out the period-to-period price fluctuations, helping to highlight the overall trend direction.

(I hope it’s correct) :)

Answer:

-2

Step-by-step explanation:

Anything behind the 0 is negative. Anything in front of the 0 is positive.

-2. Notice 10 spaces with a value of 10. This means increments of 1.

Count backwards 1 from 0 twice to get to that arrow.

Numbers left of 0 are negative.

-2

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped?? :)))) )

The maximum profit of $24,359 can be made when the selling price of the dog food is set to $24,359 per bag.

What is simplification?

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

-31.72x² + 2,030x = -126.96x + 26,391

-31.72x² + 2,156.96x - 26,391 = 0

Now we can use the quadratic formula to find x:

x = (-b ± √(b² - 4ac)) / 2a

where a = -31.72, b = 2,156.96, and c = -26,391

x = (2,156.96 ± √(2,156.96² - 4 × -31.72 × -26,391)) / 2 × -31.72

x = (16, 52)

With x = 16, we can find the selling price by plugging it into either the revenue or cost function:

R(16) = -31.72 * 16² + 2,030 * 16= $24,359

C(16) = -126.96 * 16 + 26,391 = $24,359

So, the maximum profit of $24,359 can be made when the selling price of the dog food is set to $24,359 per bag.

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The value of the expression is [tex]\frac{1}{216}[/tex]

What is an expression?

An expressions are mathematical statement which have more than two terms that contains variables and constants along with mathematical symbols.

Given the expression, [tex]p^{-3}[/tex] for p=6

⇒[tex]p^{-3} =\frac{1}{p^{-3} }[/tex]

⇒if p=3, then [tex]\frac{1}{p^{-3} } = \frac{1}{216}[/tex]

Hence, the value of expression is [tex]\frac{1}{216}[/tex].

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Answer: 4 quarts

Step-by-step explanation:

Think about a tablespoon like the size of a spoon and a quart like a plastic water bottle. 4 quart would be a better estimate for a fishbowl.

Answer:you got this you dont need this site but if you do ask me

Step-by-step explanation:

The value of Var(Y) is 1/18 for x and y have the joint probability density function f(x,y).

In probability proposition, a probability viscosity function, or viscosity of a nonstop arbitrary variable, is a function whose value at any given sample in the sample space can be interpreted as furnishing a relative liability that the value of the arbitrary variable would be equal to that sample.

We have the equation as,

f(x, y) = [2y/x²]

[tex]Since f(y) =[/tex] [tex]\int\limits^1_y {f(x, y)} \, dx[/tex]

[tex]\int\limits^1_y {2y/x^2} \, dx = 2y\int\limits^1_y {x^-1} \, dx\\\\2y (1/y - 1)[/tex]

= 2 - 2y

[tex]E(Y) =y\int\limits^1_0 {(2-2y)} \, dy = \frac{1}{3}[/tex]

[tex]E(Y^2) =y^2\int\limits^1_0 {(2-2y)} \, dy = \frac{1}{6}[/tex]

V(Y) = E(Y²) - E(Y)² = 1/6 - 1/9

V(Y) = 1/18

Therefore, Var(y) = 1/18.

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Complete question:

let x represent the amount of compensation that a doctor requests from a health insurer for heart surgery. let y represent the amount of compensation that the doctor actually receives from the health insurer. an actuary determines that x and y have the joint probability density function f(x,y)

f(x, y) = {2y/x²}

Calculate Var(Y)

Answer:

Step-by-step explanation:

Option A, Option C, and Option E are possible statements that could be true about a histogram with one-minute increments representing the given data.

A. A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes: This statement is possible as the data set appears to be roughly symmetric, with no apparent skewness. Therefore, the histogram is likely to have a roughly normal distribution, and the mean and median will be close to each other.

B. The histogram will have a shape that is left-skewed: This statement is unlikely to be true as the data set does not have any significant outliers on the left side to cause a strong skewness to the left.

C. The histogram will show that the mean time is greater than the median time of 7.4 minutes: This statement is possible as the data set contains a few relatively large values (e.g., 10) that could pull the mean to the right of the median.

D. The shape of the histogram can be approximated with a normal curve: This statement is unlikely to be true as the data set is relatively small, and the histogram with one-minute increments is likely to show some variability.

E. The histogram will show that most of the data is centered between 6 minutes and 9 minutes: This statement is possible as most of the values in the data set fall within this range, and there are no apparent outliers that would cause the center to shift significantly.

There are t values that do not make sense

It reaches the highest point in 3.125 secondsIt returns to the ground in 6.25 seconds

The graph of the function

The graph of the function d =100t - 16t² is added as an attachment

From the graph:

The values of t that do not makes sense are values less than 0 (because time cannot be negative) and values above 6.25 because cannot enter the ground

From the graph:

The time to reach the highest point is 3.125 seconds

And the time to return to the ground is 6.25 seconds

These points are well labelled on the graph

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The answer of the given fill in the blanks is "Draws", "Absolute value term", and "Small".

The sample data draws the conclusion that the distribution of the population is normal. The sample data also suggest that the population is in Absolute value terms. The sample size is small to provide a good approximate confidence interval.

Sample data is data obtained from a subset of a population that is used to represent the entire population. Sample data is collected through surveys, experiments or other types of data collection. Sample data can be biased, so caution should be exercised when drawing conclusions about entire population.

Absolute value terms refer to distance between the number and the zero on any number line. they are expressed as enclosing any number in vertical lines.

Full question:

When is the interval estimate a good approximation?

Nambe Mills manufactures a line of metal tableware called Nambeware. A piece of Nambeware is produced by sand casting a special alloy of several metals. After casting, the piece goes through series of shaping, grinding, buffing, and polishing steps. As part of a study of its production process, Nambe Mills wants to estimate the mean polishing time of its Nambeware pieces. It selects a random sample of 24 pieces and collects data on their polishing times. The sample standard deviation s is used to estimate o. The project manager uses the sample data to draw conclusions about the distribution of the population of polishing times for Nambeware pieces. She expresses each observation in the sample as a z score and finds that the largest z score (in absolute-value terms) is 2.03. She also examines the histogram of the sample data (shown below).

The sample data ___________the conclusion that the distribution of the population is normal. The sample data also suggest that the population is ___________ The sample size is ___________to provide a good approximate confidence interval.

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The answers to all parts are shown below.

What is Venn Diagram?

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.

Given:

1. Total children in room

= 7+ 5

= 12

2. Adults in room

= 16 + 5

= 21

3. Soccer players = 16 +5 = 21

4. Not soccer player= 8 +7 = 15

5. Play Soccer = 5

6. Adults play soccer = 16

7. Total people in a room

= 16 + 7 + 5 + 8

= 36

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d) A number is substantially low or high if its probability is less than 0.05. More than 0.05 of chosen adults feel they were too young. Hence, 1 is not a low number of people who claim they got tattoos too early.

What is Binomial distribution?

Generally, Binomial distribution: P(x) = nCx px qn-x

P(a person says that he or she was too young when they got the tattoo), p = 0.19

q = 1 - 0.19 = 0.81

Sample size, n = 8

a) P(none of the selected adults say that they were too young to get tattoos), P(0) = 0.818

= 0.1853

b) P(exactly one of the selected adults says that he or she was too young to get tattoos), P(1) = 8 x 0.19 x 0.817

= 0.3477

c) P(the number of selected adults saying they were too young is 0 or 1) = 0.1853 + 0.3477

= 0.5330

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Therefore, we have removed an area of: 0.243 square units in each step.

What is area?

Area is a measure of the size of a two-dimensional surface or region, typically expressed in square units such as square meters (m²) or square feet (ft²). It is calculated by multiplying the length and width of a flat object or region.

Here,

After the first step, we remove an equilateral triangle with area 1/7 of the original triangle's area. To see this, notice that we divide the original triangle into 7 congruent triangles, and we remove the one in the center, which has the same area as one of the other six.

After the second step, we apply the same procedure to each of the remaining six triangles. Each of these triangles has 1/7 of the area of the original triangle, so we remove an equilateral triangle with area 1/7 × 1/7 = 1/49 of the original triangle's area.

Therefore, after the second step, we have removed an area of 1/7 + 1/49 = 8/49 of the original triangle's area. We can continue this process to find that after the n-th step, we have removed an area of:

1/7 + 1/49 + 1/343 + ... + 1/7ⁿ

This is a geometric series with first term 1/7 and common ratio 1/7, so we can use the formula for the sum of a geometric series to find that the sum of the first n terms is:

(1/7)(1 - (1/7)^n) / (1 - 1/7) = (7ⁿ⁻¹) / (6 × 7ⁿ)

Therefore, after n steps, the remaining area is:

1 - (7ⁿ⁻¹ / (6 × 7ⁿ) = (6 × 7ⁿ - 7ⁿ⁺¹) / (6 × 7ⁿ)

= (1 + 6 × (1/7)ⁿ) / 6

After 50 steps, the remaining area is:

(1 + 6 × (1/7)⁵⁰) / 6 ≈ 0.757 square units

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