what is the effect on the graph of the function f(x)=x^2 when f(x) is changed to f(x)+9

Answer:

above sea level

Step-by-step explanation:

Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Step-by-step explanation:

1,

It is found that m divided by n is equal  to 8/7.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  a/ b = a divided in b equal parts.

If n divided by m equals 7/8, then m divided by n equal.

n / m = 7/8

Then m/n = 8/7

Therefore,  m divided by n is equal  to 8/7.

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Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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The given differential equation r' = 1 - r^2, 0 = 1 in polar coordinates has a closed trajectory and a limit cycle at r = 1, which is asymptotically stable.

To find all the closed trajectories and check if they are limit cycles in the given differential equation r' = 1 - r^2, 0 = 1 in polar coordinates, follow these steps:

Step 1: Analyze the given differential equation.
The system is given in polar coordinates as r' = 1 - r^2 and θ' = 1. Since θ' = 1, the angle θ increases linearly with time, and we can focus on the radial part r' = 1 - r^2.

Step 2: Identify equilibrium points.
To find the equilibrium points, we need to find the values of r for which r' = 0. Setting r' = 1 - r^2 equal to 0, we have:

1 - r^2 = 0
r^2 = 1
r = ±1

Step 3: Analyze the stability of the equilibrium points.
For r < 1, we have r' > 0, meaning that r will increase with time.

For r > 1, we have r' < 0, which means that r will decrease with time.

For r = 1, r' = 0, indicating that r is constant.

Step 4: Determine the closed trajectories and limit cycles.
From the stability analysis, we can see that the only closed trajectory is r = 1, as r is constant at this value. Since the radial part is dependent only on r and not on θ, this closed trajectory is a limit cycle.

Step 5: Determine if the limit cycle is asymptotically stable or not.
Since r' > 0 for r < 1 and r' < 0 for r > 1, any trajectory inside the limit cycle r = 1 will move outward towards it, while any trajectory outside the limit cycle will move inward towards it.

Therefore, the limit cycle is asymptotically stable.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Two parallel lines have the same slopes thus ;

The line which we want should in form like this :

y = - 2 x + h

(( h )) can be any positive and any negative number.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

The line graph is also attached below.

Step-by-step explanation:

Given

\(8m-6<10\)

Add 6 to both sides

\(8m-6+6<10+6\)

Simplify

\(8m<16\)

Divide both sides by 8

\(\frac{8m}{8}<\frac{16}{8}\)

Simplify

\(m<2\)

Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.

Hence,

VERIFICATION:

Given

\(8m-6<10\)

substitute m = 3

8(3) - 6 < 10

24 - 6 < 10

18 < 10

FALSE

The matrix form of S z when the base vectors are the eigenkets of S y is:

⎡ 0.5 0.5 ⎤

⎢ ⎥

⎣-0.5 0.5 ⎦.

The matrix form of S z, when the base vectors are the eigenkets of S y, can be obtained by considering the spin operators and their eigenstates in the S z basis. Let's denote the eigenkets of S y as |+⟩ and |−⟩, corresponding to the eigenvalues +1/2 and -1/2, respectively. In the S z basis, these eigenkets can be represented as linear combinations of the base vectors |↑⟩ and |↓⟩, which are the eigenkets of S z.

The first step is to express |+⟩ and |−⟩ in terms of |↑⟩ and |↓⟩. We have:

|+⟩ = (1/√2)(|↑⟩ + |↓⟩)

|−⟩ = (1/√2)(|↑⟩ - |↓⟩)

Next, we need to find the matrix elements of S z with respect to these eigenkets. The matrix elements are given by the inner products between the eigenkets and the S z operator. We know that S z|↑⟩ = +1/2|↑⟩ and S z|↓⟩ = -1/2|↓⟩. Using these relations, we can compute the matrix elements:

⟨+|S z|+⟩ = (1/√2)(⟨↑| + ⟨↓|)(+1/2)(|↑⟩ + |↓⟩)

= (1/√2)(1/2)(⟨↑|↑⟩ + ⟨↑|↓⟩ + ⟨↓|↑⟩ + ⟨↓|↓⟩)

= (1/√2)(1/2)(1 + 0 + 0 + 1)

= 1

Similarly, we find ⟨+|S z|−⟩ = 0, ⟨−|S z|+⟩ = 0, and ⟨−|S z|−⟩ = -1. These values can be arranged in matrix form:

⎡ 1 0 ⎤

⎢ ⎥

⎣ 0 -1 ⎦

Therefore, the matrix form of S z, when the base vectors are the eigenkets of S y, is given by:

⎡ 1 0 ⎤

⎢ ⎥

⎣ 0 -1 ⎦

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For a line having a slope of -1/9, the value for y is obtained as -1.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

We can use the point-slope form of the equation of a line to solve this problem.

The point-slope form is -

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) is any other point on the line.

We are given that the line has a slope of -1/9.

Let's use the point (-2, y) as our (x1, y1) point.

Plugging in the values in the equation -

y - y1 = m(x - x1)

y - y1 = (-1/9)(x - (-2))

y - y1 = (-1/9)(x + 2)

Now we can use the other given point, (7, -2), and plug in the values for x and y -

-2 - y1 = (-1/9)(7 + 2)

-2 - y1 = (-1/9)(9)

-2 - y1 = -1

Solving for y1, we get -

y1 = -2 + 1

y1 = -1

Therefore, the value of y is -1.

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Answer:

x = 1       y = -4

Step-by-step explanation:

- Plug the value of y into the other equation.

x + 3y = -11

x + 3(-4x) = -11

x - 12x = -11

-11x = -11

x = 1

- Now substitute the value of x into any equation.

y = -4x

y = -4(1)

y = -4

Answer:

x = 1 and y = -4

Step-by-step explanation:

Let's substitute y = -4x into x + 3y = -11

x + 3(-4x) = -11

x - 12x = -11

-11x = -11

/-11     /-11

---------------

x = 1

You can plug x = 1 into either of the given equations. Let's do x + 3y = -11

1 + 3y = -11

-1           -1

-----------------

3y = -12

/3      /3

-----------------

y = -4

Your values are, x = 1 and y = -4.

both problems are zero

Answer:

x=-5

Step-by-step explanation:

any line parallel to x=a is x=b

line parallel to x=-2 is x=-5

The equation of the line is x = -5.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The line x = -2 is a vertical line passing through the point (-2, y) for all y. Since we want a line parallel to this line, it must also be a vertical line.

Therefore, the equation of the line that is parallel to x = -2 and passes through the point (-5, 4) is simply x = -5.

So the answer is x = -5.

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Same-side interior angles are a pair of angles formed when two parallel lines are intersected by a third line, known as a transversal.

In this case, the same-side interior angles are the angles that are on the same side of the transversal and between the two parallel lines. They are called "interior" because they are inside the two parallel lines.

If you take any two same-side interior angles, they will add up to 180 degrees, meaning that they are supplementary.

The same side interior angles for this problem are given as follows:

As the same side interior angles are supplementary, the value of x is obtained as follows:

4x - 23 + 2x + 5 = 180.

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Answer:

y = 6x

Step-by-step explanation:

The line is sloping up at a rate of 6 y units per 1 x unit. So the slope is 6/1 (6x)

Answer:

the perimeter is 28 and the area is 49

Step-by-step explanation:

a square has equals sides and i counted seven on each side for the perimeter. you multiply seven by seven to find the area

Answer: this is a square with 7 units on each side

Area = 7^2 = 49 units^2

Perimeter = 7 x 4 = 28 units

Step-by-step explanation:

Brainliest plz

Answer:

The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

28x+4y=116

x+y=5

Step-by-step explanation:

28(apartments)+4(houses)=116 total

(amt of apartments)+(amt of houses)=5 total

The statistical measure that should be carefully reviewed for screening levels or test values is the sensitivity and specificity.

Sensitivity and specificity are crucial statistical measures in evaluating the effectiveness of screening tests or levels. Sensitivity represents the ability of a screening test to correctly identify individuals with the condition or characteristic being screened. while specificity indicates the test's ability to correctly identify individuals without the condition.

By reviewing these measures, we can assess the accuracy and reliability of the screening process, ensuring that the chosen test or level is sensitive enough to detect true positives and specific enough to avoid false positives.

This analysis helps in making informed decisions regarding the implementation of projects, ensuring that the screening process is effective and reliable.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

a -25/6 is the least and then -2/3 then 1 1/6 and 1 15/6

Answer:0.0906

Step-by-step explanation:

Given that the prevalence of a certain type of tree allergy is 0.26 in the general population

X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.

Here n = 100

Required probability = the probability that exactly 26 of them will have this allergy

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

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

   = (4-1)/(2-0)

   = 3/2

Answer:

Step-by-step explanation:

According to the question, 4 days with average rate of x and 11 miles make the total of 23.8 miles target.

This can be expressed as equation:

Solve it for x:

Answer:

1) B. the labels can he make to the tape

2) D. he can make 73 labels

Step-by-step explanation:

1) We are told that He will make labels 1.25 inches long each. We are asked the number of labels he can make.

Thus, correct answer is option B.

2) He wants to make labels 1.25 inches long out of 91.25 inches of plastic.

Thus, number of labels he can make = 91.25/1.25 = 73 labels

Answer:x= approximately 2.45

Step-by-step explanation:

Answer:

20!

Step-by-step explanation:

Isosceles triangles have 2 angles are the same. Since we can't do 140, because interior angles of a triangle equal 180, then we need to subtract 140 from 180. 180-140=40. 40/2 because of 2 angles=20. 20 is the angle.

Answer:

20

Step-by-step explanation:

Answer: So i did the math and the surface area is 756cm² and the volume is 4080cm³ (the math is simple its just a lot. So if I´m wrong then i am truly sorry) Good Luck!

Step-by-step explanation: