−3/8x ≤ 24

please help me

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Answer: Is 3x+y=0

Step-by-step explanation:

Answer:

3x+y=0 is the correct answer

Answer:

(- 3, - 7 )

Step-by-step explanation:

Given the 2 equations

y = 4x + 5 → (1)

y = x - 4 → (2)

Substitute y = 4x + 5 into (2)

4x + 5 = x - 4 ( subtract x from both sides )

3x + 5 = - 4 ( subtract 5 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (2)

y = x - 4 = - 3 - 4 = - 7

solution is (- 3, - 7 )

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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Answer:

e

Step-by-step explanation:

A lossless compression algorithm preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

A lossless compression algorithm is a type of data compression algorithm that preserves all of the original data without any loss. This means that when the original data is uncompressed, it is exactly the same as when it was compressed. On the other hand, a lossy compression algorithm is a type of data compression algorithm that discards some of the original data in order to reduce the size of the file. This means that when the original data is uncompressed, it may not be exactly the same as when it was compressed.

The advantage of a lossless compression algorithm over a lossy compression algorithm is that it preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

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Answer: Im a banana

Step-by-step explanation:

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

Answer:

By simplifying the expressions we get,

-6x^{2}+x+7

Step-by-step explanation:

Answer:

-6x^2+x+7

Step-by-step explanation:

-6x^2+x+7

Answer:

18,0

Step-by-step explanation:

By useing desmos, the line has an x intercept of 18 making that the answer.

PLZ MARK AS BRAINLIEST

Answer:

D = 18

Step-by-step explanation:

\(6 = \frac{1}{3}d\)

\(3*(\frac{1}{3} d) = (3)*(6)\)

\(d=18\)

These values can be used for various statistical calculations and analyses, such as calculating descriptive statistics (mean, standard deviation, etc.), constructing a frequency distribution, or performing hypothesis tests or confidence interval estimations.

Based on the given data, the following can be identified:

1. Sample Size (n): The sample size represents the number of observations in the data set. In this case, the sample size is 20, as there are 20 different cities listed.

2. Precipitation Values: The precipitation values represent the monthly precipitation (in inches) for the month of August in the listed cities. The given values are: 3.5, 3.9, 3.7, 2.7, 1.6, 1.0, 2.2, 0.4, 2.4, 3.6, 1.5, 3.7, 3.7, 4.2, 4.2, 2.0, 4.1, 3.4, 3.4, 3.6.

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The method for including the garage square footage in the total depends on national standards, with some including it in the total and others excluding it.

When including the garage square footage in the total square footage of a home, there are different ways to do it depending on the national standards used.

Generally speaking, there are two main methods:

Including the garage in the total square footage, or excluding the garage from the total square footage.

If the garage is included in the total square footage, then Bob would add the square footage of the garage (600 square feet) to the square footage of the living spaces in the home (e.g., bedrooms, bathrooms, kitchen, living room, etc.).

This would give him the total square footage of the home, including the garage.

This method is commonly used in some areas of the United States.

On the other hand, if the garage is excluded from the total square footage, then Bob would only count the square footage of the living spaces in the home.

This method is commonly used in other areas of the United States, as well as in other countries.

It is important to note that the method used to calculate the total square footage can affect the perceived value of the home, as well as the taxes and insurance premiums associated with it.

Therefore, it is important for Bob to consult with a local real estate professional or appraiser to determine the most appropriate method for his area.

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The points on the tangent plane are (1/10, 1/20, 3/20) and (-1/10, -1/20, -3/20) if the tangent plane to this ellipsoid is parallel to the normal plane.

The given ellipsoid equation points are :

\(x^{2} + 5y^{2} + z^{2} = 18\)

\(3z - (2x + 5y)=0\)

To find the points on the ellipsoid surface x^{2} + 5y^{2} + z^{2} = 18 which is the tangent plane to this ellipsoid is parallel to the plane 3z - (2x + 5y)=0,  we must to calculate the gradient of the surface and set it comparable to the normal vector of the plane.

The gradient of the surface is calculated by the product of square numbers by its coefficients.

Gradient surface = 2x + 10y + 2z =18

normal vector = (-2, -5, -3)

Considering that the tangent plane is parallel to the plane

2x + 10y + 2z = k(-2, -5, -3)

Therefore we can get the equations,

2x = -2k = -1 x

10y = -5k = (1/2)x

2z = -3k = 3/2 x

Now, these equations are substituted in the Gradient surface equation,

2(-1x)+ 10(1/2x) + (3/2x) =18

3/2x = 18- 3 = 15

3/2x = 15

x = 1/10

similarly, we can calculate the y and z values

y = (1/2) * (1/10) = 1/20

z = (3/2) * (1/10) = 3/20

Therefore we can conclude that the points on the tangent plane are (1/10, 1/20, 3/20) and (-1/10, -1/20, -3/20).

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Answer:

C

Step-by-step explanation:

The correct statement is "A translation \(5\) units to the right, followed by a \(180\)-degree counterclockwise rotation about the origin"

\(A=(-4,-1), B=(-3,-1), C=(-4,-4)\)

\(A'=(-1,1), B'=(-2,1), C'=(-1,1)\)

Option A:  

\(A=(-4,-1)\)

Translate \(5\) units up, we get \((-4,-1+5)=(-4,4)\).

When rotating a point \(270\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(y,-x)\).

So, \(270\)-degree counterclockwise rotation about the origin will give \((4,4)\).

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option B:  

\(A=(-4,-1)\)

When rotating a point \(270\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(y,-x)\).

So, \(270\)-degree counterclockwise rotation about the origin will give \((-1,4)\).

Now, translating \(5\) units up, we get \((-1,4+5)=(-1,9)\)

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option C:  

\(A=(-4,-1)\)

When rotating a point \(180\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(-x,-y).\)

So, \(180\)-degree counterclockwise rotation about the origin will give \((4,1)\).

Now, translating \(5\) units right, we get \((4+5,1)=(9,1)\)

This is not equal to \((-1,1)\).

So, this option is incorrect.

Option D:  

\(A=(-4,-1)\)

Translate \(5\) units right, we get \((-4+5,-1)=(1,-1).\)

When rotating a point \(180\) degrees counterclockwise about the origin our point \(A(x,y)\) becomes \(A'(-x,-y).\)

So, \(180\)-degree counterclockwise rotation about the origin will give \((-1,1)\).

This is equal to \((-1,1)\).

So, this option is correct.

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Answer:

Step-by-step explanation:

1/2

Answer:

  6/10

Step-by-step explanation:

You want the median of the list {6/10, 1/2, 0.9, 75%, 0.03}.

When there is an odd number of elements in the list, the median is the middle element of the list after it has been sorted into order. Here, that is 6/10.

When there is an even number of elements in the list, the median is the average of the middle two elements.

The median of this list is 6/10.

__

Additional comment

The first step in doing almost any part of a 5-number summary of a list is to sort the list into ascending order.

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Each spoonful holds 500 milligrams of cocoa.

To find the amount of cocoa in each spoonful, we can divide the total amount of extra cocoa added (4 grams) by the number of spoonfuls used (8):

4 grams / 8 spoonfuls = 0.5 grams per spoonful

To convert this to milligrams, we can multiply by 1000:

0.5 grams * 1000 = 500 milligrams

Therefore, each spoonful holds 500 milligrams of cocoa.

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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The statement \(\begin{aligned} \lim_{x \rightarrow b} f(x)=1 \end{aligned}\) will be true. Then the correct option is D.

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The graph of the function is shown below.

The function is a piecewise function. The function is continuous between o to a, a to b, and b to till ∞.

The value of the function at b will be 1 which can be shown as,

\(\begin{aligned} \lim_{x \rightarrow b} f(x)=1 \end{aligned}\)

The statement \(\begin{aligned} \lim_{x \rightarrow b} f(x)=1 \end{aligned}\) will be true. Then the correct option is D.

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Total red = 5

Total blue = 3

Ratio of red to blue = 5/3

answer: c. 5/3

The value of A and B is A - √B = 2 - √3.

What is the simplification?

Simplifying simply is to make anything easier to understand. Simply or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler version. It simplifies the problem by calculating and solving it.

Here, we have

Given: sin(π/12) = \(\frac{1}{2} \sqrt{A-\sqrt{B} }\)

We have to find the value of A and B.

Now, we multiply both sides by 2 and we get

2×sin(π/12) = 2× \(\frac{1}{2} \sqrt{A-\sqrt{B} }\)

2sin(π/12) =  \(\sqrt{A-\sqrt{B} }\)

Now, Simplify and we get

\(\sqrt{A-\sqrt{B} }\)  = \(\frac{{\sqrt{6} - \sqrt{2} } }{2}\)

To remove the radical on the left side of the equation, square both sides of the equation.

\((\sqrt{A-\sqrt{B}})^2\)   =   \((\frac{{\sqrt{6} - \sqrt{2} } }{2})^2\)

Simplify each side of the equation.

A - √B = 2 - √3

Hence, the value of A and B is A - √B = 2 - √3.

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Answer:

6.32455532034

Rounded: 6.32

Hope this helps! :)

For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50 is False.

For a standardized normal distribution, the probabilities are symmetric around the mean of zero. The probability that Z is greater than a positive value, such as 1.50, is less than the probability that Z is greater than a larger positive value, such as 2.50.

In other words, the probability of being in the right tail of the distribution decreases as we move further away from the mean. Therefore, the probability that Z is greater than 1.50 is greater than the probability that Z is greater than 2.50.

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Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

4% rate of defects

This means that \(p = 0.04\)

26 tablets

This means that \(n = 26\)

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Thus

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460\)

\(P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748\)

Then

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208\)

0.7208 = 72.08% probability that this whole shipment will be accepted.

m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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Answer:

A Reflection

Step-by-step explanation:

In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.