What is 6a²b – 12ab² divided by —2ab?


I need help

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

\(y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101\)

Vertex is (-12, -101)

2)

\(y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25\)

Vertex is (4, 25)

Answer:

C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week

Step-by-step explanation:

Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:

Rate of change = y/x = 1.5/2 = 0.75 inches per week

The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.

The graph shown above has a rate of change of 2 inches per week.

Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.

According to the question the percentage of alumni who said that their experience met their expectations or is above their expectations is 65%.

(a) The percentage of alumni who said that their experience is above their expectations is 0%.

According to the given data, the percentage of alumni who said their experience is above expectations is stated as 0%. This indicates that none of the respondents in the survey reported their experience as above expectations.

(b) The percentage of alumni who said that their experience met their expectations or is above their expectations is 65%.

The given data states that 65% of the alumni responded that their experience met their expectations. Since the question also includes the option "above expectations," all respondents who selected this option can be included in the percentage. Therefore, the percentage of alumni who said that their experience met their expectations or is above their expectations is 65%.

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Answer:

Can you give me more information to answer this?

Step-by-step explanation:

At a 6% interest rate, it will take approximately 12 years for $500,000 to double and reach $1 million, according to the rule of 72.

According to the rule of 72, if the product of the interest rate and the number of years equals 72, your money will double. In this case, we have an interest rate of 6%.

Let's denote the number of years as 't'. We want to find the value of 't' when $500,000 doubles to $1 million.

The formula to calculate the doubling time using the rule of 72 is:

72 / (interest rate in percentage) = doubling time in years.

Plugging in the values

72 / 6 = 12 years.

Therefore, at a 6% interest rate after 12 years the amount of $500,000 will double to the worth of $1 million.

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the answer for vector is u = -3i + 2j.

To express the vector u = (-3, 2) in component form and as a linear combination of the standard unit vectors i and j, follow these steps:

Identify the given vector
The given vector u is (-3, 2).

Express the vector in component form
The vector is already in component form, as it is represented by a pair of coordinates, (-3, 2). So, the answer for (a) is u = (-3, 2).

Express the vector as a linear combination of i and j
To represent the vector u as a linear combination of the standard unit vectors i and j, we simply multiply each component of the vector by the corresponding unit vector and sum the results. In this case, the unit vector i represents the x-component and the unit vector j represents the y-component.

So, the linear combination of u can be expressed as:

u = (-3)i + (2)j

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Answer:(x+3)=2x

Step-by-step explanation:

Answer:

The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350.

Brainly or thank me (in addition if there is other answers)

The example of histogram is dataset of exam scores of 100 students, with scores ranging from 50 to 100

A histogram is a graphical representation of the distribution of a dataset. It is a way to visualize the frequency distribution of a set of continuous or discrete data. Here's an example of a histogram:

Suppose we have a dataset of exam scores of 100 students, with scores ranging from 50 to 100. We can create a histogram to visualize the distribution of scores. The histogram will have a vertical axis representing the frequency of scores and a horizontal axis representing the range of scores. We can divide the horizontal axis into equal intervals, called bins, and count the number of scores falling into each bin.

The histogram is shown in the figure

In this example, the histogram shows that most students scored between 70 and 80, with a few students scoring below 60 and above 90.

The histogram also shows that the distribution of scores is roughly symmetrical, with no outliers.

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Answer:200

Step-by-step explanation: 3 diveded by 4500 and 10 percent is 200

Answer:

Addition Property of Equality

Step-by-step explanation:

Addition Property of Equality.

The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.

Changing the coefficient of x to 6 changes the meaning of expression as 5 is added to 6 times x

Solution:

Given that number 2 in the expression 5 + 2x is called the coefficient of x

We are asked to find what happens when changing the coefficient to 6 change the meaning of the expression

In the expression,

5 + 2x

This means 5 is added to 2 times x or 5 is added to twice of x

Number 2 is called coefficient of x

When we change this coefficient to 6, the expression becomes,

5 + 6x

So now the meaning of expression becomes,

5 is added to 6 times x

So changing the coefficient of x changes the meaning of expressionStep-by-step explanation:

Answer:

the slope is 4/1 because it's 4x and the y intercept is -4

Answer:

slope: 4

y intercept: -4

Step-by-step explanation:

the equation you're given is in y = mx + b format

the "b" in the equation is the y intercept

the x and y are the variables

and the "m" is the slope

so in this case, the "m" would be 4 because it is the number right next to x

the -4 would be the "b" in this because it is after the "y=" and does not have a variable

Answer:

 55°

Step-by-step explanation:

Answer:

2790×5=13950. ans=13950+93000=106950

Step-by-step explanation:

population increase rate per year =2790

then after 5 year population is 2790×5+93000=106950

Answer:

You would divided.

Step-by-step explanation:

You would first divided every step until you get the answer I am new so I am not going to tell you the answer but first solve it out and if you need anymore htlp then come back and ask.

Answer:

22

Step-by-step explanation:

Answer:

The answer would be: 22

Step-by-step explanation:

Step 1: (7-2)= 5

(5)*2+(6-2)*3

Step 2: (6-2)= 4

(5)*2+(4)*3

Step 3: (5)*2=10

10+(4)*3

Step 4: (4)*3= 12

10+12= 22

Hope this Helps!!

One example of an experiment that utilizes qualitative data is a study examining the experiences and perceptions of individuals who have undergone a specific medical procedure, such as organ transplantation.

In this experiment, researchers could conduct in-depth interviews with participants to explore their emotional reactions, coping mechanisms, and overall quality of life post-transplantation.

The qualitative data collected from these interviews would provide rich insights into the lived experiences of the participants, allowing researchers to gain a deeper understanding of the psychological and social impact of the procedure.

By analyzing the participants' narratives, themes and patterns could emerge, shedding light on the complex nature of organ transplantation beyond quantitative measures like survival rates or medical outcomes.

This qualitative approach helps capture the subjective experiences of individuals and provides valuable context for improving patient care and support in the medical field.

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Answer:

the answer is 15x+3=3(5x+1)

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

volume

of course, how much water is asking about the capacity of cylinder, meaning it's volume in this case.

Answer:

yes

Step-by-step explanation:

2 bases 3 rectangles, folds properly.

When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

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Answer:

9 cm

Step-by-step explanation:

Given that angle Y = 90 means that the triangle is a right angle triangle

If angle X = 30 degrees and xz =18 cm

xz is the hypotenuse side while zy is the opposite side considering the angle at X

Hence using the notation SOH CAH TOA

SOH

Sin X = zy/xz

Substituting

Sin 30 = zy/18

cross multiply

zy = 18 sin 30

zy = 18 * 0.5

= 9 cm

Answer:

9 cm

Step-by-step explanation:

Hope this helps

Answer:

(8,-4)

Step-by-step explanation:

The difference between A and M is 2.5x and -4y

so B would be 5.5+2.5 and 0-4

(8,-4)

Jason's statement about the sales tax is correct.

To determine whether Jason's statement about the sales tax is correct, we need to calculate the total cost of the two shirts before any tax or discounts are applied, and then calculate the final cost including the discount and any applicable sales tax.

The regular price of the first shirt is $32.00, and the regular price of the second shirt is $20.00. So the total cost of both shirts before any discounts or tax is applied is:

$32.00 + $20.00 = $52.00

According to the sale, the second shirt is eligible for a discount of 35% off its regular price. Since the regular price of the second shirt is $20.00, the discount amount is:

0.35 x $20.00 = $7.00

So the sale price of the second shirt is:

$20.00 - $7.00 = $13.00

The total cost of both shirts after the discount is applied is:

$32.00 + $13.00 = $45.00

Now we need to determine whether Jason's statement about the sales tax is correct. If he is correct, then the total cost of the two shirts including sales tax would be:

$45.00 + 0.08 x $45.00 = $48.60

So let's check if this is the amount Jason paid. It is, so he is correct!

Therefore, the amount of sales tax paid is:

$45.00 x 0.08 = $3.60

And the final cost of the two shirts including sales tax is:

$45.00 + $3.60 = $48.60

So Jason did pay 8% sales tax as he claimed.

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Answer:

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C\)

Step-by-step explanation:

we would like to integrate the following integration:

\( \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx\)

notice that you can simplify the integrand

recall that,

\( \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1\)

thus substitute:

\(\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx\)

remove parentheses:

\(\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx\)

\(\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx\)

factor out 2:

\(\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx\)

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

\(\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx\)

reduce fraction:

\(\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx\)

\( \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx\)

distribute:

\( \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx\)

use sum integration formula:

\( \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx\)

recall integration rules:

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) \)

and we of course have to add constant of integration

\( \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C\)

Answer:

155+27n

Step-by-step explanation:

Answer:

Answer- 50

Step-by-step explanation:

V= 1/3 x base x height

Answer:

This question is clearly incomplete, so i will answer it in a really general way.

Suppose that for a quadratic function, we know that the x-intercepts are a and b.

And we also know that this function passes through the point (c, d).

First a definition, for a n-degree polynomial with the x-intercepts {x₁, x₂, ...,xₙ}  and a leading coefficient K, we can write this polynomial in the factorized form as:

p(x) = K*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now let's do the same for our quadratic function, we can write it as:

f(x) = K*(x - a)*(x - b)

(where a and b are known numbers)

Now we also know that this function passes through the point (c, d)

This means that:

f(c) = d

then:

d = K*(c - a)*(c - b)

With this equation we can find the value of K,

K = d/( (c-a)*(c - b))

Then the quadratic function is:

\(f(x) = d\frac{(x-a)}{(c-a)} \frac{(x-b)}{(c-b)}\)

Where again, it is supposed that you know the values of a and b, and also the point (c, d)