I need help please.

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

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The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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The given system of linear equations is represented by two lines on the coordinate plane. The first line passes through points (0,2) and (2,3), while the second line passes through points (0,-3) and (2,-2).

To determine the number of solutions the system has, we need to analyze the relationship between these lines.
1. If the lines intersect at a single point, the system has one solution.
2. If the lines are parallel and never intersect, the system has no solution.
3. If the lines coincide and overlap, the system has infinitely many solutions.

Let's find the slopes of both lines:

The slope of the first line is given by (change in y) / (change in x) = (3-2) / (2-0) = 1/2.

The slope of the second line is given by (change in y) / (change in x) = (-2-(-3)) / (2-0) = 1/2.

Since the slopes of the two lines are equal, we can determine that the lines are parallel. Therefore, the system has no solution, as parallel lines never intersect.

In conclusion, the system of linear equations represented by the given graph has no solutions.

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The system of linear equations shown in the graph has no solutions.

To determine the number of solutions, we need to analyze the relationship between the lines.
If the two lines intersect at a single point, the system has one solution. This means that the lines are not parallel and have different slopes.
If the two lines are parallel and do not intersect, the system has no solutions. This occurs when the slopes of the lines are equal but the y-intercepts are different.
If the two lines are the same, they are coincident and have infinitely many solutions. This happens when the slopes and y-intercepts of the lines are equal.
To find the slope of a line, we can use the formula: slope = (change in y)/(change in x). We can use the given points to calculate the slopes of the two lines.
Line 1: (0, 2) and (2, 3)
Slope = (3-2)/(2-0) = 1/2
Line 2: (0, -3) and (2, -2)
Slope = (-2-(-3))/(2-0) = 1/2
The slopes of the two lines are equal, which means they are parallel. However, the y-intercepts of the lines are different (2 for Line 1 and -3 for Line 2). Therefore, the system of linear equations has no solutions.

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

Step-by-step explanation:

x     |  y

30  | 6

60  | 12

90  | 18

120 | 24

Answer:

The answer is B

Step-by-step explanation:

Your substracting the 20,000 from the 560,000

The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3

We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.

To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.

We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).

We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.

From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].

The above answer is in response to the question below as seen in the picture.

Determine the interval(s) in \([-\pi, \pi ]\) on

which f(x) =  2 sin x - x

is decreasing.

1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)

2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)

3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)

4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)

5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)

6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)

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Answer:

When we have a statement:

If P then Q

Where:

P is the hypothesis.

Q is the conclusion

The Law of Detachment says that:

Statement 1: if P, then Q.

Statement 2: P is true:

the law says that: Q is true.

In this case:

Statement 1: "If A is less than 90°, then A is an acute angle."

P = A is less than 90°

Q = A is an acute angle

Statement 2: A = 75°.

Then by statement 2 we know that A is smaller than 90°.

Then P is true.

This means that, by the Law of Detachment, Q is also true.

Then we can conclude that A is an acute angle.

Answer:

If they don't have a decimal, the output will be zero.

Input = output

3/4 = 0.75 = 7

2.35 = 3

42.00 = 0

1.00 = 0

16.00 = 0

Answer:

(x - 5)(x - 7x)

Step-by-step explanation:

x - 12x + 35 = 0

x - 12x + 35 = 0

x - 5x - 7x + 35= 0

x ( x - 5) -7x(x + 5)

(x - 5)(x - 7x)

Check the picture below.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Let us create the table from the given mapping

x                  y

2                20

2                40

4                40

3                30

From the table, it is clear that the input x = 2 is repeated twice. In other words, the input x = 2 is duplicated.

As we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the given relation/mapping DOES NOT represent a function.

Determining the domain of a relation:

We know that the domain of the relation is the set of all the x-coordinates of the given points or ordered pairs.

Thus, the domain of the relation in ascending order is:

Domain D = {2, 3, 4}

Determining the range of a relation:

We know that the range of the relation is the set of all the y-coordinates of the given points or ordered pairs.

Thus, the range of the relation in ascending order is:

Domain D = {20, 30, 40}

The equivalent expression will be;

⇒ 32x¹⁰

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x⁷ × 8x³

Now,

Since, The expression is,

⇒ 4x⁷ × 8x³

It can be written as;

⇒ 4 × 8 x⁷⁺³

⇒ 32x¹⁰

Thus, The equivalent expression will be;

⇒ 32x¹⁰

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Answer:

(a)  graph iii)

(b)  graph v)

(c)  graph ii)

(d)  graph iv)

Step-by-step explanation:

All given equations are in vertex form:  y = (x - h)² + k

where (h, k) is the vertex of the parabola

The vertex is the turning point of the parabola, so the minimum point for parabolas that open upward, and the maximum point for parabolas that open downward.

Vertices of the given graphs:

i) (-3, 2)

ii) (-3, -2)

iii) (2, 3)

iv) (3, 2)

v) (-2, -3)

vi) (2, -3)

Part (a)

Given equation:  y = (x - 2)² + 3

Therefore, the vertex is (2, 3) → graph iii)

Part (b)

Given equation:  y = (x + 2)² - 3

Therefore, the vertex is (-2, -3) → graph v)

Part (c)

Given equation:  y = (x + 3)² - 2

Therefore, the vertex is (-3, -2) → graph ii)

Part (d)

Given equation:  y = (x - 3)² + 2

Therefore, the vertex is (3, 2) → graph iv)

Vertex form of parabola having vertex (h,k)

#1

Vertex (2,3)

#2

Vertex (-2,-3)

#3

Vertex (-3,-2)

#4

Vertex (3,2)

The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer for A it’s 24

Answer:

True. It would need two interior angles of 90 degrees to have parallel lines. However the interior angles must add up to 180 in order for it to be a triangle therefore it is true.

Step-by-step explanation:

A triangle cannot have side that are parallel is True.

The fundamental characteristics listed below make it simple to recognise parallel lines.

No matter how long you make them, parallel lines will never cross one another.

and, A polygon with three sides and three angles is called a triangle.

So, A triangle does not include any parallel lines because of its shape.

Also, We cannot say a triangle is parallel because a side doesn't have an opposite side.

Hence, A triangle cannot have side that are parallel is True.

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Answer:   do what ur heart tells you lol

Step-by-step explanation:

Im pretty sure all of them do but...

Answer:

It is proportional if it is a straight line and if it goes through the origin (0,0). So the first one is proportional.

The second and third one are not proportional because it doesn't pass through the origin.

Step-by-step explanation:

I'm doing this topic in math class.

YOU SHOULD STOP TAKING PEOPLE'S POINTS AND NOT GIVING THE RIGHT ANSWER. STOP IT BECAUSE IF U DON'T THEN THEY WILL DO THE SAME TO YOU.

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

Answer:

The answer is C,(x^2+2)(x+7)

Step-by-step explanation:

x3 + 7x2 − 2x − 14.

We will group the terms.

Make pairs of the terms:

(x3 + 7x2 ) - (2x + 14.)

Now find the common factor of each pair

x^2(x+7)-2(x+7)

(x^2-2)(x+7)

Thus the factors of x3 + 7x2 − 2x − 14. are (x^2-2)(x+7)

Answer:

39 ft^2

Step-by-step explanation:

Find the area of the triangle and subtract the area of the square.

area of triangle = bh/2

area of square = s^2

shaded area = bh/2 - s^2

shaded area = (20 ft)(16 ft)/2 - (11 ft)^2

shaded area = 160 ft^2 - 121 ft^2

shaded area = 39 ft^2

Answer:

y = -3/4x+1/2

Step-by-step explanation:

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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10in wide x 12in long

10/12ft x 1

?ft wide x 60ft long

10/12*60=50

1*60=60

50ft by 60ft real size

3000 square feet