How do I find the values of X and Y?

Answer:

(0,0)

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

If you put x=0 in the equation, you get ...

  2y = 0

dividing by 2 gives ...

  y = 0

So, you know the point (x, y) = (0, 0) is on the graph.

__

If you solve for y, you have ...

  y = -3/2x

The coefficient -3/2 is the slope of the graph. It tells you "rise/run" is -3/2, so the graph goes down 3 units for each 2 units to the right. From (0, 0), 2 units right and 3 down gets you to the point (x, y) = (2, -3).

With two points, you can graph those and draw the line through them to make the graph you want.

Answer:

12a-b

Step-by-step explanation:

Given expression = 12a -b

The factored form for the given expression, cannot be determined because the given expression is a simplified expression its factor cannot be possible.

Answer: 1 (12a-b)

Step-by-step explanation: You would do distributive property to solve this, and 1 * 12 equals 12, so that works. 1 * b equals b, because multiplying it by 1 doesn't change its value. Hope this helps

Answer:

Are you sure thats all you are given?

Answer:

-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Showing Work

Using the given inputs:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

Rewriting these inputs as decimals:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0

Sorting this table by decimal values in order from least to greatest:

-23   -22 3/8   -31/3   -7.7   -7   -6   -3   -8/3   -2.5   -1   -1/4   0   9/8   2   3   5   8   10   11   15   22   23

-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Therefore, the sorted inputs in order from least to greatest is:

-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

27 - 3x = 3x + 27

- 3x - 3x = 27 - 27

- 9x = 0

x = 0

Therefore,Total patients with pneumonia or bronchitis = 25 + 30 - 10= 45Thus, there are a total of 45 patients diagnosed with pneumonia or bronchitis or both.

Among 50 patients admitted to a clinic, 25 are diagnosed with pneumonia, 30 with bronchitis, and 10 with both pneumonia and bronchitis. The number of patients with pneumonia or bronchitis (or both) can be determined as follows:Let A denote the number of patients diagnosed with pneumonia and B denote the number of patients diagnosed with bronchitis.

According to the inclusion-exclusion principle, the total number of patients with pneumonia or bronchitis is given by:Total patients with pneumonia or bronchitis = \(A + B - (A ∩ B)\)where A ∩ B represents the intersection of the sets A and B.In this case, A = 25, B = 30, and A ∩ B = 10.

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The missing angle represented by 6 is 107 degrees

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that, when combined, create a straight line, then they are supplementary angles.

Angles on a straight line are supplementary and hence the potion that has 6 is equal to say x

x + 73 = 180

x = 180 - 73

x = 107 degrees

Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and polygons.

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The system of inequality represented in the graph is

When the unknown parameter is isolated on the left hand side of the equation, we follow the procedure below

Shading above a line is greater than and shading below is less

hence we have that that y ≤ 3, since the shading is below

Shading above to the right is greater than and shading to the left is less

hence we have that that x ≥ 2, since the shading is to the right

Solid lines mean the inequality have "equal to" and this is why we have equal to for both.

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ANSWER

x = 15, y = 30

EXPLANATION

We want to solve the system of equations by substitution method.

We have that:

y = x + 15

y = 2x

Substitute the value of y in the second equation into the first:

=> 2x = x + 15

Collect like terms:

2x - x = 15

x = 15

Recall that:

y = 2x

=> y = 2(15)

y = 30

The solution to the system of equations is: x = 15, y = 30

After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

Expanding brackets in reverse is a process known as factorising. Fully factorising an expression entails putting it in brackets by eliminating the factors with the highest common denominator.

The easiest method of factoring is:

Factorisation:

a) 3x+12m

= 3(x + 4m)

b) 6h²+18ah​

6h(h + 3a)

Thus, After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

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Answer:

3:4

Step-by-step explanation:

12:16

divide by 4 on both sides

3:4

can't simplify any further

so therefore the answer is 3:4

Answer:

Step-by-step explanation:

Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

Here,

x=4.88 cm

μ=5 cm

σ=0.44 cm

n=49

The test statistic,

=(4.88-5)/(0.44/7)

z=-1.909

The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909

At z=-1.909, p-value=0.0281

2*0.0281=0.0562

The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.

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The ability of the normal distribution to approximate the binomial distribution under appropriate conditions justifies the use of the normal distribution for the sampling distribution of the proportion.

A sampling distribution is a statistical probability distribution derived from a larger number of samples gathered from a certain population. The sampling distribution of a particular population is the distribution of frequencies of a range of possible outcomes for a population statistic.

A population is the whole pool from which a statistical sample is selected in statistics. A population can be defined as a large group of people, things, events, medical visits, or measures. A population can thus be defined as an aggregate observation of persons linked by a common trait.

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The steps which can help in minimizing the variance in the four cards are correct selection of the suit with maximum number of cards.

If you have four cards and were to bet based upon suits while flipping them one at a time while trying to minimize variance, you should follow the below steps:

First, you need to check the suits of the four cards you have.

Now, you need to select the suit that has a maximum number of cards. For instance, if the four cards are 5 of hearts, 7 of spades, 2 of diamonds, and 10 of hearts, you need to select hearts as it has two cards.

After selecting the suit with the maximum number of cards, you need to start flipping the cards one at a time.

Keep a count of the number of times you get the chosen suit. For instance, if you chose hearts, you will count the number of times you get hearts after flipping each card.

Once you get the chosen suit, you can place your bet. The amount of your bet can depend on the number of times you have gotten the chosen suit so far.

So, this process doesn't guarantee that you will win every time.

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The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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Answer:

x = 10

Step-by-step explanation:

-1/2x + 2 = -x + 7

multiply by 2 so that -1/2x becomes -x

(-1/2x + 2 = -x + 7)2

-x + 4 = -2x + 14

subtract 4 from both sides

-x = -2x + 10

add -2x to both sides

x = 10

Answer: 7,400grams

Step-by-step explanation: I hope this helps btw can u follow me and mark me as brainiest?

Answer:

the answer is A. true

Step-by-step explanation:

I had this question before

The value of x is 3

From the question, we have

In a right-angled triangle, the sin of an angle is equal to the ratio of the opposite side to the hypotenuse

From the smaller triangle, we have

sin 90° = opposite side/hypotenuse

1= opposite side/6

opposite side = 6

From the bigger triangle, we have

sin 90° = opposite side/hypotenuse

1 = (x+3)/6

x+3 = 6

x = 3

The value of x is 3

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Answer:

Quadrant IV..............

Answer:

\(3(4)^{23}\)

Step-by-step explanation:

Let the first term be \(a\) and the common ratio be \(r\).

We know \(a=3\) and \(ar=12\), meaning \(r=4\).

This means the 24th term is \(3(4)^{23}\).

There are total 30 students in the piano class.

When a number can be divided by another number then they can be written as p : q , when two ratios can be equated using an equal sign then they are said to be in proportion.

It is given that the total number of girls is 40% of the total students

The ratio of total students to girls is 100 :40

= 10 :4

= 5 : 2

It is also given that in the total number of students 12 were girls

Let total students be x

Then the ratio is x : 12

As both the ratio are same and so can be equated and the proportion will be

5 : 2 = x : 12

5/2 = x /12

x = 30

Therefore there are total 30 students in the piano class.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Extrapolation is a useful tool for predicting future values based on past data

Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.

In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.

Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.

Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.

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Well, we know standard form of quadratic equation : ax² + bx + c where,

a = Coefficient of x²

b = Coefficient of x

c = Constant term

We also equation for determinant :

⇒ b² - 4ac

Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.

But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"

Now let's calculate whether the equation is factorisable or not :

Comparing the given equation with ax² + bx + c, we get :

a = 1

b = -3

c = -54

Putting values in the determinant equation :

⇒ (-3)² - 4(1 × -54)

⇒ 9 + 216

⇒ 225

⇒ 15²

So, determinant = A perfect square

That means the given equation is factorisable.

Now let's factorize with by middle term splitting :

⇒ x² - 3x - 54

⇒ x² -(9 - 6)x - 54

⇒ x² - 9x + 6x - 54

⇒ x(x - 9) + 6(x - 9)

⇒ (x + 6)(x - 9) [Required Solution]

Hence, we get our required solution.

Hope this Helps (✿◡‿◡)

Answer:

the answer is A) -7

Step-by-step explanation:

-7 is the y-intercept

Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.

Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.

Here,

Let's figure out how many issues of the magazine are still available in the store.

Given: There were 90 copies in all when the bookstore opened.

1/6 of the total copies were sold at the bookstore yesterday.

=> 15 copies were sold yesterday = (1/6) * 90.

=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale

=> 2/5 of the remaining copies were sold in the bookstore today.

30 copies were sold today, which

=>  (2/5) * 75.

The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:

=>  75 - 30 = 45

45 copies of the magazine are still available at the bookstore.

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There are 40320 ways the 8 horses can finish the race in terms of color combination.

The number of color combinations in which the horses can finish is determined by the number of ways the 8 horses can be arranged.

This is known as a permutation.

The formula for permutation is:

n! / (n-r)!

where:

n = total number of items

r = number of items being selected at a time

In this case, we want to know the number of ways the 8 horses can be arranged in a race, so we will use 8 for n and 8 for r.

8! / (8-8)! = 8! / 0! = 8! = 8x7x6x5x4x3x2x1 = 40,320

So, there are 40320 ways the 8 horses can finish the race in terms of color combination.

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