x + y = 0 x - y = 8 What is the solution of the system shown?

A; (-8, 12)
B; (8, -12)
C; (8, 12)

The length of GQ is 25/3 units.

To find the length of GQ, we need to equate GQ to GH and solve for x. Since Q is the midpoint of GH, the lengths GQ and QH are equal. Therefore, we have the equation:

2x + 3 = 5x - 5

Subtract 2x from both sides:

3 = 3x - 5

Add 5 to both sides:

8 = 3x

Divide both sides by 3:

x = 8/3

To find the length of GQ, substitute the value of x back into 2x + 3:

GQ = 2(8/3) + 3

GQ = 16/3 + 3

GQ = 16/3 + 9/3

GQ = 25/3 units

Answer: 0.73 since 1 - 1.27 = 0.73 so the drivers probability of not speeding is 0.73 hope it helps

If probability that a driver is speeding on a stretch of road is 0.27 then probability that a driver is not speeding is 0.73.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that the  probability that a driver is speeding on a stretch of road is 0.27.

Probability(Speeding)=0.27

We need to find the probability that a driver is not speeding.

Probability(Not Speeding)=1-Probability(Speeding)

One minus zero point two seven

=1-0.27

We get zero point seven three

=0.73

Hence, if probability that a driver is speeding on a stretch of road is 0.27 then probability that a driver is not speeding is 0.73.

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Answer:

Y-axis and y = -x

Step-by-step explanation:

The student's question is about the sequence of rigid transformations that resulted in polygon A'B'C'D' from polygon ABCD. While the reflections lines are unspecified, typically two reflections across intersecting lines equal a rotation around the point of intersection by twice the angle between the lines.

The student's question involves identifying the type of rigid transformations that polygon ABCD underwent to form polygon A'B'C'D'. Unfortunately, there seem to be missing elements in the provided description of the transformations. Normally, a rigid transformation would include details such as the lines across which the reflections occur. That said, a sequence of two reflections across two intersecting lines is equivalent to a rotation around the point of intersection of the lines, with the angle of rotation being twice the angle between the two lines.

If we could infer that the lines of reflection are perpendicular to each other, the overall transformation would be a rotation of 180 degrees. This would mean that polygon A'B'C'D' is the result of this 180-degree rotation of polygon ABCD about the point of intersection of the two reflection lines.

The correct answer is option a. 2.77 is an element of the set real numbers.

To determine which set(s) the number 2.77 is an element of, let's analyze each option:

1. Real numbers: The set of real numbers includes all rational and irrational numbers. This means any number that can be placed on the number line, including integers, fractions, and decimals. Since 2.77 is a decimal number, it is indeed a real number.

2. Real numbers and natural numbers: While 2.77 is a real number, natural numbers are a subset of real numbers that consist of all positive integers (1, 2, 3, ...). Since 2.77 is not a positive integer, it is not a natural number. Therefore, this option is incorrect because 2.77 is not a natural number.

3. Natural numbers and whole numbers: As mentioned, natural numbers are positive integers. Whole numbers include all natural numbers and the number 0 (0, 1, 2, 3, ...). Since 2.77 is neither a natural number nor a whole number, this option is incorrect.

4. Null set: The null set (or empty set) contains no elements. If 2.77 were in the null set, it would imply that the null set is not empty, which contradicts the definition of the null set. Therefore, this option is incorrect.

The complete question is

"Which shows the set(s) the number 2.77 is an element of?

a. real numbers

b. real numbers and natural numbers

c. natural numbers and whole numbers

d. null set"

Answer:

(2x + 1) - (–x² + 3x) is difference .

Step-by-step explanation:

Given : r(x) = –x² + 3x  and  s(x) = 2x + 1

To find : Find the difference of functions s and r .

Solution :  We have given that  r(x) = –x² + 3x and s(x) = 2x + 1.

Difference :

(s – r)(x) = s(x) - r(x)

              =(2x + 1) - (–x² + 3x)

              = 2x +1 + x²-3x

             = x²-x +1.

Therefore, (2x + 1) - (–x² + 3x) is difference .

The difference of the function is (2x+1)-(x^2 + 3x)

Given the following functions

r(x) = –x² + 3x

s(x) = 2x + 1

Taking the difference of the function will give:

(s – r)(x) = 2x - 1 - (-x^2 + 3x)

Expand

(s – r)(x) = 2x - 1  + x^2 - 3x

(s – r)(x) = x^2 - x - 1

Hence the difference of the function is (2x+1)-(x^2 + 3x)

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Answer: Hello mate!

"four times a certain number increased by 6 is equal to 94"

is equivalent to: 4*x + 6 = 94

where x represents the number.

Now we would want to find the value of x.

4*x + 6 = 94

4*x = 94 - 6 = 88

x = 88/4 = 22

then the value of the number x that makes the statment true is x = 22.

Answer:

The vertex of the function is (h,k)=(3,3)

The axis of symmetry is x=3.    

Step-by-step explanation:

Given : Function [tex]y=2x^2-12x+21[/tex]

To find : Determine the axis of symmetry and the vertex of the given function.

Solution :  

The quadratic function is in the form, [tex]y=ax^2+bx+c[/tex]

On comparing, a=2 , b=-12 and c=21

The vertex of the graph is denote by (h,k) and the formula to find the vertex is

For h, The x-coordinate of the vertex is given by,

[tex]h=-\frac{b}{2a}[/tex]

[tex]h=-\frac{-12}{2(2)}[/tex]

[tex]h=\frac{12}{4}[/tex]

[tex]h=3[/tex]

For k, The y-coordinate of the vertex is given by,

[tex]k=f(h)[/tex]

[tex]k=2h^2-12h+21[/tex]

[tex]k=2(3)^2-12(3)+21[/tex]

[tex]k=18-36+21[/tex]

[tex]k=3[/tex]

The vertex of the function is (h,k)=(3,3)

The x-coordinate of the vertex i.e. [tex]x=-\frac{b}{2a}[/tex] is the axis of symmetry,

So, [tex]x=-\frac{b}{2a}=3[/tex] (solved above)

So, The axis of symmetry is x=3.    

Answer:

p>[tex]\frac{8}{7}[/tex]

Step-by-step explanation:

The equation is 6(2 P-1) > 5 P +2

6(2 P-1)> 5 P+2

6×2 P-6×1> 5 P+2

12 P-6> 5 P+2

12 P - 5 P > 2+6

 7 P > 8

P > [tex]\frac{8}{7}[/tex]

P is greater than[tex]\frac{8}{7}[/tex]

Hence, the correct answer is p greater than [tex]\frac{8}{7}[/tex]

Adam is 4 years old. This conclusion is reached by setting up a system of equations based on the information that Mark and Adam's ages add up to 28 years and Mark is 20 years older than Adam.

The student is asking how old Adam is, given that the total age of Mark and Adam is 28 years, and Mark is 20 years older than Adam. To solve this, we can set up a system of equations. Let Mark's age be represented by M and Adam's age be represented by A. The two equations based on the given information would be:

Now, substituting the second equation into the first one, we get:

A + 20 + A = 28

This simplifies to:

2A + 20 = 28

Subtracting 20 from both sides, we have:

2A = 8

Dividing both sides by 2, we find:

A = 4

So, Adam is 4 years old.

Even and Odd Functions U3L2

1. f(x)=-x^2/x^4-25
2. The function is neither even nor odd.
3. The graph is symmetric about the origin.
4. 2ND graph from the question's photos (looks like mcdonalds logo)

youre welcome !

Answer:

The correct option is D. The image and preimage are congruent.

Step-by-step explanation:

Let us understand the this concept with the help of an example.

Consider the figure 1:

From the figure 1, it is clear that the size of image doesn't change.

Thus, option A and C are invalid.

Or we can say that, the image and preimage remain the same.

Therefore, the correct option is D. The image and preimage are congruent.

We want to find what separates terms in an algebraic expression.

The answer is: The sum and subtraction symbols.

By definition, a "term" can be a signed number, a variable, a constant multiplying a variable, or more complex things, like expressions inside parentheses.

The terms in an algebraic expression are the things we are adding or subtracting.

Thus, what we use to separate them are the sum symbol (+) or the subtraction symbol (+).

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It is difficult to estimate the mass of an average flat screen computer monitor without specific data.

In order to estimate the mass of an average flat screen computer monitor, you could use the rule-of-thumb approach by mass. This approach involves finding the average mass of similar monitors. However, since we do not have specific data on the mass of an average flat screen computer monitor, it is difficult to provide an accurate estimate.

The mass estimate can also be influenced by factors such as the size, type, and materials used in the construction of the monitor. Therefore, it is recommended to refer to the product specifications provided by the manufacturer for the most accurate information regarding the mass of a specific model of flat screen computer monitor.