What is 6(4y+7)-(2y-1)

The results of subtractions between perfect square trinomials are listed below:

In this problem we have three cases of subtractions between two perfect square trinomials that must be simplified. According to algebra, perfect square trinomials can be expanded by means of the following definition:

(a + b)² = a² + 2 · a · b + b²

Where a, b are real constants.

The procedure is summarized below:

Case 1

(x + 3)² - (x - 4)²

(x² + 6 · x + 9) - (x² - 8 · x + 16)

x² + 6 · x + 9 - x² + 8 · x - 16

14 · x - 7

Case 2

(7 · b² - 7)² - (2 · b² - 11)²

(49 · b⁴ - 98 · b² + 49) -  (4 · b⁴ - 44 · b² + 121)

49 · b⁴ - 98 · b² + 49 - 4 · b⁴ + 44 · b² - 121

45 · b⁴ - 54 · b² - 72

Case 3

(5 · a · b² + 3)² - (6 · a · b² - 7)²

(25 · a² · b⁴ + 30 · a · b² + 9) - (36 · a² · b⁴ - 84 · a · b² + 49)

25 · a² · b⁴ + 30 · a · b² + 9 - 36 · a² · b⁴ + 84 · a · b² - 49

- 9 · a² · b⁴ + 114 · a · b² - 40

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The X-values which have points on the graph as given in the task content are; -2 <= x <= 4.

It follows from the complete task content that the graph the function in discuss is as attached in the image.

On this note, it follows that the domain of the function which simply is the set of all possible values of x according to the graph is; -2 <= x <= 4.

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Answer:

the answer is C. 42 ÷ 6 + 28 ÷ 4= 14.

Step-by-step explanation:

Answer:

the answer is d because I found the answer on a website

Answer:

y=2x/3+3-----------------P

Putting X = -2 in eq P

y=2(-2)/3+3

= -4/3+3=5/3

x,y= -2, 5/3

Answer:

B.) teacher

Step-by-step explanation:

good luck!!!

can you give me brainliest pls im trying to level up lol

The volume of the cone with height of 9 inches and a diameter of 12 inches is approximately 339.3 cubic inches.

To find the volume of a cone, we need to use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.

Since the diameter of the cone is given as 12 inches, we can find the radius as half of the diameter, which is 6 inches. The height of the cone is given as 9 inches.

Now, we can substitute the values of r and h in the formula to get the volume as follows

V = (1/3)πr^2h

= (1/3)×3.14×6^2×9

= 339.12 cubic inches (rounded to the nearest tenth)

Therefore, the volume of the given cone is approximately 339.1 cubic inches.

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Answer:

45.94%

Step-by-step explanation:

Probability-Above 45.94%

Z =0.1  

x= 61

µ 60

σ 9.8

The answer is 3 1/3 feet

Solution :

Total length of material : 13 1/3 feet

Number of sections needed : 4

so the length of new sections = Total length ÷ No. of section

                                                  = 13 1/3 ÷ 4

             13 1/3 = 40/3

so,         40/3 ÷ 6

that is    40/3 × 1/6

            = 40/12

            = 3.33 or  3 1/3

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Answer:

\(h=\frac{2A}{b}\)

Step-by-step explanation:

In this problem, we will rearrange the equation to isolate \(h\).

We start with the given equation:

\(A=\frac{1}{2} bh\)

I will work the \(\frac{1}{2}\) and the \(b\) out of the right side so that \(h\) is left by itself.

First I multiply both sides by 2 to get rid of the \(\frac{1}{2}\) :

\((2)A = (2)\frac{1}{2} bh\)

2 is the same as \(\frac{2}{1}\), so its numerator and denominator cancel the \(\frac{1}{2}\) .

Simplifying, we now have:

\(2A=bh\)

Now we can divide both sides by \(b\):

\(\frac{2A}{b} =\frac{bh}{b}\)

We can cancel the \(b\) in the fraction on the right side, and we're left with:

\(\frac{2A}{b} =h\)

which is the same as:

\(h=\frac{2A}{b}\)

Hope this helps! Let me know if you have any questions.

Answer:

$34.45

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Product price = $26.50

Margin = 30% of product price

or 30% × $26.50 = $7.95

So, Total cost of product Emerson will charge can be calculate by using following formula,

Emerson charge her product = Product price  + Margin on product

By putting the value, we get

= $26.50 + $7.95

= $34.45

Answer: 2/5

Step-by-step explanation:

Multiply and do math

Answer:

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.

Step-by-step explanation:

Answer:

80 feet per second

Step-by-step explanation: At 55 mph, your vehicle is traveling at about 80 feet per second. Feet-per-second is determined by multiplying speed in miles-per-hour by 1.47 (55 mph x 1.47 = 80 feet per second.)

Answer:

a: (2, -3)

b: 20

c: 24

Answer:

its 4, so x=0

Step-by-step explanation:

:D

Answer:

x=0

Step-by-step explanation:

expand the brackets

8x+4=3x-3+7

5x=-7+7

5x=0

is this question

x=0

Answer:

165 hope this helps

Step-by-step explanation:

\(--------------------------------------------\)

Answer:

159

\(--------------------------------------------\)

Step-by-step explanation:

-4 + 91=87

87 + 72=159

\(--------------------------------------------\)

SIMPLE

with 99% confidence, the difference in proportions of marriages ending in divorce in the first year between Los Angeles and New York falls within the interval (-0.030171, 0.050171).

To construct a confidence interval for the difference in proportions between Los Angeles and New York marriages that end in divorce in the first year, we can use the formula for the confidence interval for the difference between two proportions:

CI = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where:

p1 and p2 are the sample proportions of marriages that made it past the first year in Los Angeles and New York, respectively.

n1 and n2 are the sample sizes for Los Angeles and New York, respectively.

z is the z-score corresponding to the desired confidence level. For a 99% confidence level, z ≈ 2.576 (obtained from the standard normal distribution table).

Let's calculate the confidence interval step by step:

p1 = 196/200 = 0.98 (proportion in Los Angeles)

p2 = 194/200 = 0.97 (proportion in New York)

n1 = 200 (sample size in Los Angeles)

n2 = 200 (sample size in New York)

z = 2.576 (for a 99% confidence level)

Substituting these values into the formula:

CI = (0.98 - 0.97) ± 2.576 * sqrt((0.98 * (1 - 0.98) / 200) + (0.97 * (1 - 0.97) / 200))

CI = 0.01 ± 2.576 * sqrt((0.98 * 0.02 / 200) + (0.97 * 0.03 / 200))

CI = 0.01 ± 2.576 * sqrt(0.000098 + 0.000145)

CI = 0.01 ± 2.576 * sqrt(0.000243)

CI = 0.01 ± 2.576 * 0.015590

CI ≈ 0.01 ± 0.040171

CI ≈ (-0.030171, 0.050171)

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Let's begin by listing out the given information:

Number of students (n) = 20

Amount (a) = $298

The equation that can be used to find the amount of money that each student must raise (m) is given below:

Hence, option D is the correct answer

It is the direct influence of Yt-2 on Yt.

What is a time series?

A time series refers to a sequence of data points or observations collected and recorded at regular time intervals. These data points are typically ordered chronologically, with each observation associated with a specific time point or period. Time series data can be collected in various domains, such as economics, finance, meteorology, stock market, sales, population studies, and more.

Therefore, the partial autocorrelation between Yt and Yt-2 measures the direct influence or relationship between Yt-2 and Yt, while controlling for the intermediate observations, in this case, Yt-1. It captures the unique contribution of Yt-2 to the autocorrelation structure of the time series {Yt} at a lag of 2.

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First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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Answer:

1/34

Step-by-step explanation:

its and propity of 1/4 time the value it self plus what you take

Answer:

y = -1/4x + 3

Step-by-step explanation:

Step 1: Write out known variables

m = -1/4

y = -1/4x + b

Step 2: Find b

2 = -1/4(4) + b

2 = -1 + b

b = 3

Step 3: Rewrite equation

y = -1/4x + 3

Answer: 2/5

Step-by-step explanation:  Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5

The coordinates of the image of the point is (-13, -4)

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

The image of the point (-3, -5) under a translation is (-8, -9)

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

Translation = (x - 5, y - 4)

Given that

Point = (-8, 0)

substitute the known values in the above equation, so, we have the following representation

Image = (-8 - 5, 0 - 4)

Evaluate

Image = (-13,-4)

Hence, the image is (-13,-4)

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Answer:

The answer is 60 handshakes

Step-by-step explanation:

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

0.0068

Step-by-step explanation:

I'm taking this right now  hope this helps

The sum of the weights of the two insects is; .11.2 x 10^{-7} approximately.

Scientific notations have some of the profits as  Better readability due to compact representation. Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

We have been given that A small fly weighs = 2.2 x \(10^{-3}\) gram

The average-sized gnat weighs =  9 x \(10^{-4}\).

The sum of the weights of the two insects would be;

2.2 x \(10^{-3}\) gram  +  9 x \(10^{-4}\).

2.2 + 9 \((10^{-3 -4})\)

11.2 x \(10^{-7}\)

Therefore, the sum of the weights of the two insects is; 11.2 x \(10^{-7}\) approximately.

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The complete question is;

A small fly weighs approximately 2.2 x \(10^{-3}\) grams and an average-sized gnat weighs approximately 9 x \(10^{-4}\). find the sum of the weights of the two insects

The corresponding angles and sides of the two triangles need to be given in order to prove congruence by side-angle-side.

In order to prove congruence by side-angle-side, the corresponding angles and sides of the two triangles must be given. The sides must be proportional, which means that two sides of one triangle must be equal to two sides of the other triangle, and the angles between these two sides must also be equal. In other words, if two sides of one triangle are equal to two sides of the other triangle, and the angle between those two sides is also equal, then the two triangles are congruent. This can be expressed as “If two sides and the included angle of one triangle are equal to the corresponding sides and angle of a second triangle, then the two triangles are congruent.” In order to prove congruence by side-angle-side, all of the corresponding sides and angles must be given in order to show that they are equal.

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The additional information that is needed to prove the triangles are congruent by Side-Angle -Side us that the corresponding angles and sides of the two triangles need to be given .

What is Side-Angle-Side Congruence ?

The Two Triangles can be called as  Congruent by Side-Angle-Side rule  if any 2 sides and angle included between sides of one triangle is equivalent to corresponding 2 sides and angle between sides of second triangle .

In order to prove the Congruence by Side-Angle-Side, the corresponding angles and the sides of the 2 triangles must be given.

The sides must also be in proportional, that means that the two sides of one triangle must be equal to two sides of other triangle, and

the angles between these two sides of the triangle must  be equal.

So , In order to prove a triangle congruent by Side-Angle-Side, all of the corresponding sides and angles must be given in order to prove  that they are equal.

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