Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded?

Group of answer choices

Above the solid line

Below the solid line

Above the dashed line

Below the dashed line

Answer:

A. Image shows the two circles

B. he ordered point(2, 0) will go to the ordered pair [tex]\mbox{\large \left(\boxed{1}, \boxed{0}\right)}[/tex]'

C. The small circle is a [tex]\boxed{\textsf{copy}}[/tex] of the larger one using the origin as a center and a scale factor of [tex]\boxed{\dfrac{1}{2}}[/tex]

*** I am guessing what word goes into the first box. It should be something that is close to the word copy. The words replica or duplicate could be other choices If you are unable to come up with a choice, post the answer choices as a comment and I can be more specific ***

Step-by-step explanation:

A. Image shows the two circles

B. The larger circle x² + y² = 4 is dilated by a factor of 1/2

The ordered point(2, 0) will go to the ordered pair (2/2, 0/2) = (1,0)

C. What do you notice about the two circles?
They are concentric circles with origin(0, 0) as the center

The small circle is a copy of the larger one using the origin as a center and a scale factor of 1/2

* I do not know what your answer choices are. I have just filled in a term which indicates the relationship.

The maximum possible value of the result is 8.

How to solve Linear Equations?

We are given the linear equation;

4x - x = 0

From the linear equation above, seeing that we have an x that is raised to the power of one-third, and we have a single x variable, the first step would be to add x to both sides to get;

The first step to solving the equation is to; C. add x to both sides

The second step  to solving the equation is to; C. cube both sides

Solving the equation for x initially yields; C. two possible values

Checking the solutions shows that; D. none are valid solutions

4x - x + x = 0 + x

4x = x

Now, to remove the fraction root, what we will now do as the second step is to cube both sides to get;

(4x)³ = x³

4³x = x³

64x = x³

Divide both sides by x to get;

x² = 64

Take square root of both sides to get;

x = ±√64

x = ±8

Hence, The maximum possible value of the result is 8.

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Answer: |x + 4| = 3

Step-by-step explanation:

the expected value of the random variable with this probability distribution is 7.

Why it is?

To find the expected value of a discrete random variable with a probability distribution, you multiply each possible value of the random variable by its corresponding probability and then add up all of the products.

For example, for the probability distribution given:

X P(X)

2 1/36

3 1/18

4 1/12

5 1/9

6 5/36

7 1/9

8 1/12

9 1/18

10 1/36

The expected value, denoted by E(X), can be calculated as follows:

E(X) = (2)(1/36) + (3)(1/18) + (4)(1/12) + (5)(1/9) + (6)(5/36) + (7)(1/9) + (8)(1/12) + (9)(1/18) + (10)(1/36)

E(X) = 7

Therefore, the expected value of the random variable with this probability distribution is 7.

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Answer:

Account B will have the most after 10 years. It will be worth $21760

Step-by-step explanation:

Hope it helps! =D

Answer:

1. volume= 135

2. prism volume in cubic feet is: 21

3. surface area is 294 ft^2

4. surface area is 430 ft^2

The measures in the parallelogram are given as follows:

In a parallelogram, consecutive angles are supplementary, meaning that the sum of their measures is of 180º.

The angles of 12x + 3 and 7x - 13 are consecutive, meaning that the value of x is given as follows:

12x + 3 + 7x - 13 = 180

19x = 190

x = 190/19

x = 10.

Then the angle measures are given as follows:

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Answer:

I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.

Step-by-step explanation:

The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.

Answer:

The slope of the line that passes through (7,-4) and (11 -4) is 0, since it is a horizontal line.

To find the slope when given two points, use the formula:

y2-y1/x2-x1=m(-4- -4)/(11-7)=0/4=0

So the slope is 0 because 0 is the numerator. If 0 is the denominator, the slope will be undefined.

Hope this helped!

The solution of the equations are

x^2 - 36 = 0

x = 6, -6

The equation x2 + 12x + 36 = 0

x = -6, -6

The equation x^2 - 36 = 0 is solved as follows

x^2 - 36 = 0

x = ±√36

x = 6 or -6

The quadratic equation x^2 + 12x + 36 = 0 is solved as follows

x^2 + 6x + 6x + 36 = 0

x(x + 6) + 6(x + 6) = 0

(x + 6)(x + 6) = 0

hence

x = -6 and -6

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Answer:

Step-by-step explanation: To calculate the total amount of money Jamal made in six months, we need to multiply the number of paintings sold by the price of each painting, and then add the results for the large and small paintings:

7 large paintings * $45.99/large painting = $321.93

4 small paintings * $28.99/small painting = $115.96

Total amount made = $321.93 + $115.96 = $437.89

Therefore, Jamal made $437.89 in six months by selling seven large paintings and four small ones.

Answer:

2026 to maximize the present value function.

Step-by-step explanation:

To find the year in which the timber should be harvested to maximize the present value function, we need to find the time t that maximizes the present value function A(t). We can begin by finding A(t):

A(t) = V(t)e^(-0.09t)

A(t) = 140,000e^(0.72√t) * e^(-0.09t)

A(t) = 140,000e^(0.72√t - 0.09t)

To maximize A(t), we need to find the critical points of A(t). We can do this by taking the derivative of A(t) and setting it equal to zero:

A'(t) = 140,000(0.36/√t - 0.09)e^(0.72√t - 0.09t) = 0

Simplifying this equation, we get:

0.36/√t - 0.09 = 0

0.36/√t = 0.09

√t = 4

t = 16

Therefore, the critical point of A(t) occurs at t = 16 years.

We can check that this is a maximum by taking the second derivative of A(t) and evaluating it at t = 16:

A''(t) = 140,000(-0.648/t^3 - 0.243/√t + 0.081)e^(0.72√t - 0.09t)

A''(16) = 140,000(-0.648/16^3 - 0.243/4√16 + 0.081)e^(0.72√16 - 0.09(16))

A''(16) ≈ -4,980.4

Since the second derivative is negative, we can conclude that t = 16 years corresponds to a maximum for the present value function A(t).

Therefore, the timber should be harvested in the year 2010 + 16 = 2026 to maximize the present value function.

Answer:

Step-by-step explanation:

whatb you need

Answer:

the perimeter of the rectangle is 26 meters.

Step-by-step explanation:

To find the perimeter of the rectangle, we need to know its width. We can find the width by dividing the area by the length:

width = area / length = 36 / 9 = 4 meters

Now we can use the formula for the perimeter of a rectangle:

perimeter = 2(length + width)

Substituting the given values, we get:

perimeter = 2(9 + 4) = 2(13) = 26 meters

Therefore, the perimeter of the rectangle is 26 meters.

Therefore, the parameters of the binomial distribution in this scenario are:

p = 0.404

n = 21

Probability, or the probability that an event will occur, is calculated by dividing the number of favourable outcomes by the total number of potential possibilities. Indeed, a coin flip is the most simple illustration. When you flip a coin, only one of two outcomes—heads or tails—is possible.

A binomial distribution with p and n parameters is present in this situation.

The likelihood of making a free throw, p (a success).

The quantity n represents the attempted free throws.

p = 0.404, which is the probability of making a free throw.

1 - p = 0.596, which is the probability of missing a free throw.

n = 21, which is the total number of free throws attempted.

the probability that the player makes no more than 6 of the 21 free throws. This can be represented as P(X ≤ 6), where X is the number of successful free throws (or made free throws).

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Answer:

According to the line of fit, after 20 hours of practice, the predicted number of strikeouts is 400.

Step-by-step explanation:

The equation given is:

y = 20x + 0

where y represents the number of strikeouts and x represents the number of hours of practice. To find the number of strikeouts after 20 hours of practice, we substitute x = 20 into the equation and solve for y:

y = 20(20) + 0

y = 400

Therefore, according to the line of fit, after 20 hours of practice, the predicted number of strikeouts is 400.

The least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

To find the volume of the sidewalk in cubic feet, we first need to convert the dimensions to feet. Since 1 foot = 12 inches, we have:

Length = 24 feet + 6 inches = 24.5 feet

Width = 4 feet + 6 inches = 4.5 feet

Depth = 4 inches = 1/3 feet (since 1 foot = 12 inches, 4 inches = 4/12 feet = 1/3 feet)

The volume of the sidewalk is then:

Volume = Length x Width x Depth

= 24.5 feet x 4.5 feet x 1/3 feet

= 3.25 cubic feet

Since one bag of concrete mix makes 0.6 cubic feet of concrete, the number of bags of concrete mix that Roger needs is:

Number of bags = Volume of sidewalk / Volume per bag

= 3.25 cubic feet / 0.6 cubic feet per bag

= 5.42 bags

Since Roger cannot buy a fraction of a bag, he must buy at least 6 bags of concrete mix. Therefore, the least whole number of bags of concrete mix that Roger needs is:

Number of bags = 6

Answer: F. 16

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The area of the triangle DEF shown in the coordinate plane is 6 units².

Area of a triangle is defined as the total region bounded by the shape of the triangle.

The formula to calculate the area of a triangle if the base length and height is given is,

Area = [tex]\frac{1}{2}[/tex] × base × height

Given is a triangle in a coordinate plane.

Base of the triangle is the side DE.

Length of DE is the length of the points (1, 1) t0 (1, 4), which is 3 units apart.

Length of base = 3 units

Height of the triangle is the perpendicular length from the vertex opposite base to the base.

That is, the distance from F(-3, 3) to (1, 3), which are 4 units apart.

Height = 4 units.

Area of triangle DEF = [tex]\frac{1}{2}[/tex] × 3 × 4

                                  = 6 units²

Hence the area of the triangle is 6 units².

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The percentage error of the student's estimated mass is 2.15%.

The percentage or percent error is the difference between the estimated value and the actual value divided by the actual value, multiplied by 100.

The estimated mass of the student = 82.0 kg

The actual mass of the student = 83.8 kg

Absolute error = Actual Value - Estimated Value

= 1.8 kg (83.8 - 82.0)

Percentage error = Actual Value - Estimated Value /Actual Value x 100

= 2.15% (1.8/83.8 x 100)

Thus, we can conclude that the student's estimate contains a 2.15% error.

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The solution is, x = 39. Since we have a 102 degree angle it is a obtuse triangle.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

its angles , x, 102, x

now, we know,

The sum of the angles in a triangle add to 180

i.e.

x+ 102+x = 180

Combine like terms

so, we get,

102 + 2x = 180

Subtract 102 from each side

2x = 78

divide by 2, both sides,

x =39

Since we have a 102 degree angle it is a obtuse triangle.

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a. The angle generated by P in time t is pi radians.

b. The distance traveled by P along the circle in time t is 16pi cm.

c. The linear speed of P is 2pi cm/sec.

What is angular speed ?

Angular speed, also known as rotational speed, is a measure of how fast an object is rotating around a fixed point. It is typically measured in radians per second and is denoted by the symbol "ω" (omega).

Angular speed is calculated as the change in angle (measured in radians) divided by the time it takes to make that change. In other words, it is the rate at which the angle is changing over time.

Angular speed is an important concept in physics and engineering, as it is used to describe the motion of rotating objects such as wheels, gears, and turbines. It is also used to calculate other important parameters such as linear speed, centripetal force, and torque.

The problem involves finding the properties of a point P that is rotating around a circle with a given radius r and angular speed omega. The problem provides the values of r, omega, and t and asks to find the angle generated by P in time t, the distance traveled by P along the circle in time t, and the linear speed of P.

(a) To find the angle generated by P in time t, we use the formula for angular displacement:

theta = omega * t

Here, omega is given as pi/8 radians per second and t is given as 8 seconds. We substitute these values to get:

theta = (pi/8) * 8 = pi radians

Therefore, the angle generated by P in time t is pi radians.

(b) To find the distance traveled by P along the circle in time t, we use the formula for arc length:

s = r * theta

Here, r is given as 16 cm and theta is calculated in part (a) as pi radians. We substitute these values to get:

s = 16 * pi = 16pi cm

Therefore, the distance traveled by P along the circle in time t is 16pi cm.

(c) To find the linear speed of P, we use the formula for tangential velocity:

v = r * omega

Here, r is given as 16 cm and omega is given as pi/8 radians per second. We substitute these values to get:

v = 16 * (pi/8) = 2pi cm/sec

Therefore, the linear speed of P is 2pi cm/sec.

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.

Answer:

Step-by-step explanation:

rational

Answer:

Step-by-step explanation:

Here is a more detailed explanation:

We are given two linear functions, f(x) and g(x), and their values for x = 1 and x = 4:

x   f(x)   g(x)

1    3      5

4    9      20

To find the value of a + b at the point of intersection (a, b) of the two functions, we need to first find the equations of the two functions. To do this, we need to find the slope and y-intercept of each function.

For f(x), the slope is (9 - 3) / (4 - 1) = 2, and using the point (1, 3) we can find the y-intercept as:

y - 3 = 2(x - 1)

y - 3 = 2x - 2

y = 2x + 1

So the equation of f(x) is y = 2x + 1.

Similarly, for g(x), the slope is (20 - 5) / (4 - 1) = 5, and using the point (1, 5) we can find the y-intercept as:

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x

So the equation of g(x) is y = 5x.

To find the point of intersection of the two functions, we can set their equations equal to each other and solve for x:

2x + 1 = 5x

3x = 1

x = 1/3

Substituting this value of x back into either equation, we can find the corresponding value of y:

y = 2(1/3) + 1 = 7/3

So the point of intersection is (1/3, 7/3).

Therefore, a + b = 1/3 + 7/3 = 8/3. This is approximately equal to 2.67. The answer closest to this value is -1, so the correct answer is (b) -1.

This means that if at most one household is tuned to Pretty Betty, it is not unusual and does not necessarily indicate that the 26% share value is wrong.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

This is a binomial distribution problem, where the probability of success (a household tuned to Pretty Betty) is p = 0.26 and the number of trials is n = 14.

The probability that none of the households are tuned to Pretty Betty is:

P(none) = (1 - p)ⁿ = (1 - 0.26)¹⁴≈ 0.031

The probability that at least one household is tuned to Pretty Betty is:

P(at least one) = 1 - P(none) = 1 - 0.031 ≈ 0.969

The probability that at most one household is tuned to Pretty Betty is:

P(at most one) = [tex]P(0) + P(1) = (1 - p)^n + np(1 - p)^{(n-1)[/tex] ≈ 0.500

However, if more than one household is tuned to Pretty Betty, it may indicate that the share value is inaccurate.

Therefore, This means that if at most one household is tuned to Pretty Betty, it is not unusual and does not necessarily indicate that the 26% share value is wrong.

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Inputting the values provided yields:

[tex](3^2 + y^2) + (4^2 + (5 - x)^2) = 5^2[/tex]

A + B = 5 - sqrt (34)after simplifying and solving for a + b. 

As a result, we have established that a + b=  0.27.

A right-angle triangle is a type of triangle that has one angle that measures exactly 90 degrees, which is called a right angle. The side opposite to the right angle is called the hypotenuse, and it is the longest side of the triangle. The other two sides are called legs or catheti. The legs can have different lengths and the Pythagorean theorem can be used to calculate the length of the missing side if the lengths of the other two sides are known. The sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. Right-angle triangles are used in many practical applications, such as in engineering, architecture, and trigonometry.

Since triangle ABC is a right triangle with CH perpendicular to AB, we can use the Pythagorean theorem to find the length of CH:

[tex]CH^2 = CB^2 - BH^2[/tex]

Since triangle ABC is a right triangle, we have CB = AC, and since CH is on AB, we have BH = x. Substituting these values, we get:

[tex]CH^2 = AC^2 - x^2[/tex]

We can also use the given values of x and h to find AC:

[tex]AC^2 = x^2 + h^2[/tex]

Substituting this into the equation for [tex]CH^2[/tex], we get:

[tex]CH^2 = AC^2 - x^2 = (x^2 + h^2) - x^2 = h^2[/tex]

Taking the square root of both sides, we get:

CH = h = 4

Therefore, we have found that CH = 4.

Now we can use the fact that CH is an altitude of triangle ABC to find the area of the triangle in two different ways:

Area = (1/2) * CH * AB

Area = (1/2) * AC * BC

Setting these two expressions equal to each other and substituting the given values, we get:

(1/2) * 4 * (x + 4) = (1/2) * (3 + y) * 5

Simplifying and solving for y, we get:

2x + 8 = 15 - 5/2 * y

2x + 13/2 = 5/2 * y

y = 2x + 13/5

Using the given value of x, we can find y:

y = 2(3) + 13/5 = 6.6

Therefore, we have found that y + h = 6.6 + 4 = 10.6.

Finally, to find a + b, we can use the Pythagorean theorem on triangle ABC:

[tex]AC^2 + BC^2 = AB^2[/tex]

Substituting the given values, we get:

[tex](3^2 + y^2) + (4^2 + (5 - x)^2) = 5^2[/tex]

Simplifying and solving for a + b, we get:

a + b = 5 - sqrt(34)

Therefore, we have found that a + b ≈ 0.27.

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Answer:

The width of the patio is 15 feet

Step-by-step explanation:

We can start by using the formula for the area of a rectangle:

Area = length x width

In this case, we know that the area of the patio is given by:

16x^2 + 20x square feet

And we also know that the length of the patio is x + 5 feet. So we can substitute these values into the formula to get:

16x^2 + 20x = (x + 5) x width

Simplifying the right-hand side by multiplying x + 5 by width, we get:

16x^2 + 20x = width x^2 + 5x

To solve for the width, we can move all the terms with width to the left-hand side and all the other terms to the right-hand side:

width x^2 - 16x^2 + 20x - 5x = 0

Simplifying the left-hand side by combining like terms, we get:

width x^2 - 16x^2 + 15x = 0

Factoring out x, we get:

x (width x - 16x + 15) = 0

Now we can solve for the width by setting each factor equal to zero and solving for x:

x = 0 or width x - 16x + 15 = 0

Since the length and width of the patio must be positive values, we can disregard the solution x = 0. So we are left with:

width x - 16x + 15 = 0

We can factor this quadratic equation by finding two numbers whose product is 15 and whose sum is -16. These numbers are -1 and -15, so we can write:

(width x - 1)(x - 15) = 0

Setting each factor equal to zero and solving for x, we get:

width x - 1 = 0 or x - 15 = 0

width x = 1 or x = 15

Since the length of the patio is x + 5, which is 20 feet, we know that x = 15 is the correct solution. So we can substitute x = 15 into the expression for the width:

width x = 1, x = 15, so we choose x = 15

width x - 16x + 15 = (15) x - (16)(15) + 15 = 15 feet

Therefore, the width of the patio is 15 feet.

Therefore, the value of the expression -2f(-6) - 7g(-7) is equal to -99.

In mathematics, a function is a rule that assigns a unique output value to each input value. Functions are often represented as equations or graphs that relate the input (also known as the independent variable) to the output (also known as the dependent variable). The input is usually denoted by the variable x, and the output is usually denoted by the variable y. Functions can be used to model relationships between different quantities, such as time and distance, or temperature and pressure. They are a fundamental concept in mathematics and are used in many fields, including physics, engineering, economics, and computer science.

Here,

Using the function notations given in the problem, the statement can be read as follows:

-2 times the value of the function f evaluated at x = -6, minus 7 times the value of the function g evaluated at x = -7, is equal to:

-2f(-6) - 7g(-7) =

Substituting the expressions for f(x) and g(x) given in the problem, we get:

-2*(3*(-6)+1) - 7*(-2*(-7)+5) =

Simplifying this expression, we get:

-2*(-17) - 7*(19) = 34 - 133 = -99

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Answer:t= 1/4

Step-by-step explanation:

Divide both sides by -2/3, and simplify which would leave u with 1/4.

The function  [tex]y = -\sqrt[3]{11+8x}[/tex] can be written as the composition of functions f(x) =  -∛x and g(x) = 11+8x.

What are functions?

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Hence, a function is essentially applied to the output of another function. When two functions are combined, the output of the function inside the parentheses becomes the input of the function outside of the parenthesis.

Given a function as follows:

[tex]y = -\sqrt[3]{11+8x}[/tex]

Consider two functions, f(x) and g(x).

Let f(x) = -∛x

g(x) = 11+8x

Then f(g(x) = f(11+8x) = [tex]-\sqrt[3]{11+8x}[/tex]

Therefore the function  [tex]y = -\sqrt[3]{11+8x}[/tex] can be written as the composition of functions f(x) =  -∛x and g(x) = 11+8x.

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