What are two different ways of factoring:
-2f - 10
Think about a positive factor and a negative
factor.

Given:

The function is

\(g(x)=-3x+12\)

Consider the given domain of g is {-2,0,2}.

To find:

The solution set  if the domain of g for the given domain.

Solution:

Domain is the set of input values and range is the set of output value.

We have,

\(g(x)=-3x+12\)

Domain of g is {-2,0,2}.

For x=-2,

\(g(-2)=-3(-2)+12\)

\(g(-2)=6+12\)

\(g(-2)=18\)

For x=0,

\(g(0)=-3(0)+12\)

\(g(0)=0+12\)

\(g(0)=12\)

For x=2,

\(g(2)=-3(2)+12\)

\(g(2)=-6+12\)

\(g(2)=6\)

Now, the solution set  of the given domain of g is

\(\{f(-2),f(0),f(2)\}=\{18,12,6\}\)

Therefore, the solution set is {18,12,6}.

Answer:

your answer is the option a

Answer:

Part A

Part B

Answer:

Part A: Group p is called a cluster. Group T is called an outlier.

Part B: it seems that as the hours of exercise  increases, their test scores increases.

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

Answer:

Never

Step-by-step explanation:

This is because when,

Δ JKL ≅ Δ MNP

Then, ∠J ≅ ∠M

∠K ≅ ∠N

∠L ≅ ∠P

Therefore, ∠L ≠ ∠N

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

X = 3   Y = -3

Step-by-step explanation:

The arrow is on X = 3 and the other side of arrow is on Y = -3

Hope I helped

Answer:

When two variables move in the same direction, the curve relating them is called a positive or direct relationship.

Step-by-step explanation:

When two variables move in the same direction, it indicates a positive or direct relationship between them. In this context, a positive relationship means that as one variable increases, the other variable also tends to increase, and as one variable decreases, the other variable tends to decrease.

When we plot the values of the two variables on a graph, a positive relationship is typically represented by a curve that slopes upward from left to right. This curve is often referred to as an increasing or upward-sloping curve.

The degree or strength of the positive relationship can vary. It can be strong, where the variables show a clear and consistent increase or decrease together, or it can be weak, where the increase or decrease is more gradual or scattered.

Learn more about curves here, https://brainly.com/question/26460726

#SPJ11

The given subset U = { [2₁₂] € R² | 1 2=0} is not a subspace of R². A counterexample can be given by considering a nonzero vector u € U: u = [2 0]. This vector satisfies1×2 = 0, which is the defining property of U.

To determine whether a subset U is a subspace of R², we need to check three conditions: (1) U contains the zero vector, (2) U is closed under vector addition, and (3) U is closed under scalar multiplication.

In the given subset U, the condition 1×2 = 0 defines the set of vectors that satisfy this equation. However, this subset fails to meet the conditions (1) and (3).

To demonstrate this, we can provide a counterexample. Consider the nonzero vector u = [2 0]. This vector belongs to U since 1×0 = 0. However, when we perform vector addition, for example, u + u = [2 0] + [2 0] = [4 0], we see that the resulting vector [4 0] does not satisfy the condition 1×2 = 0. Therefore, U is not closed under vector addition.

Since U fails to satisfy all three conditions, it is not a subspace of R².

To learn more about subset click here : brainly.com/question/28705656

#SPJ11

We can identify a polynomial identity by applying algebraic identities of polynomials and principles, it is possible to prove polynomial identities by simplifying identity.

In particular, an expression must not contain any square roots of variables, any fractional or negative powers on the variables, and any variables in any fractions' denominators in order to qualify as a polynomial term. A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.

Given,

We can identify a polynomial identity by,

Whatever the values given to the variables, the equation for the polynomial identity is always true. By applying algebraic identities of polynomials and principles, it is possible to prove polynomial identities by simplifying identity. When factorizing or extending a polynomial, we can employ polynomial identities to our advantage.

To learn more about polynomial, visit:

https://brainly.com/question/11536910

#SPJ4

Answer:

54353456452

Step-by-step explanation:

364564

In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

To learn more about Animal Farm refer to:

https://brainly.com/question/3004174

#SPJ4

Answer:

it depends on the question

Usually if it a triangle with 2 angles and an x

you will add the 2 angles and rearrange to give the answer

Step-by-step explanation:

Hope this helps!!!

Answer:

A right triangle has one angle measuring 90 degrees. The side opposite this angle is known as the hypotenuse (another name for the longest side). The length of the hypotenuse can be discovered using Pythagoras's theorem, but to discover the other two sides, sine and cosine must be used. These are trigonometric functions of an angle.

In the diagram below, one of the angles is represented by the Greek letter θ. (pronounced "the - ta"). Side a is known as the "opposite" side and side b is called the "adjacent" side because of their positions relative to the angle θ.

The vertical lines "||" around the words below mean "length of."

So sine, cosine and tangent are defined as follows:

Step-by-step explanation:

So sine, cosine and tangent are defined as follows:

sine θ = |opposite side| / |hypotenuse|

cosine θ = |adjacent side| / |hypotenuse|

Answer:

16

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It goes down by 4 every time.

First, you would divided 270 by 15

270 ÷ 15 = 18

Then, you would divide 18 by 2 because it only takes half an hour to sell 15.

18÷2 = 9

Therefore, it would take 9 hours!

-----

Another Way!

First, multiply 15 by 2 because it only takes half an hour to sell 15.

15×2 = 30

Then, divide 270 by 30!

270÷30 = 9

Therefore, it would take 9 hours!

Answer: The distance between these two points is 5.

Step-by-step explanation:

Yay! Love doing distance formula questions!

Okay, so first off, the distance formula goes as follows:

d = \(\sqrt(x^{2} - x^1)^2 + (y^{2}-y^1)^2\)

Basically you just plug in your coordinates to the formula.

Step 1:

\(\sqrt(-5 + 5)^{2} + (2-7)^{2}\)

Step 2: Distribute the exponent to both parenthesis to get \(\sqrt{25}\).

Step 3: Factor the number, which would result in \(\sqrt{5^2}\).

As a result of this, your answer would be 5.

The original loan amount was $966.67.

To find the original loan amount, we can use the formula for simple interest:

A = P(1 + rt)

Where A is the final amount, P is the principal (original loan amount), r is the interest rate (expressed as a decimal), and t is the time in years.

In this case, after one year, the loan is paid off with a final amount of $1028.96. We can set up the equation as follows:

1028.96 = P(1 + 0.18 * 1)

Simplifying the equation, we have:

1028.96 = P(1 + 0.18)

Dividing both sides of the equation by (1 + 0.18), we can solve for P:

P = 1028.96 / (1 + 0.18)

P ≈ 966.67

Therefore, the original loan amount was approximately $966.67.

Learn more about original loan amount

brainly.com/question/29507680

#SPJ11

Step-by-step explanation:

line QS = RS

line KJ = half of line KC

We can draw an arrow pointing from the point representing 56/21 to the point representing 861/21, indicating that we need to subtract the smaller point from the larger point.

To draw a number line for 5 6/7 - 2 2/3, we first need to convert the mixed numbers to improper fractions.

5 6/7 can be written as (5 × 7 + 6)/7 = 41/7

2 2/3 can be written as (2 × 3 + 2)/3 = 8/3

So, the subtraction expression becomes:

41/7 - 8/3

To find a common denominator, we need to multiply 7 and 3 together, which gives us 21.

41/7 can be converted to 861/21 by multiplying both numerator and denominator by 21.

8/3 can be converted to 56/21 by multiplying both numerator and denominator by 7.

So, the subtraction expression becomes:

861/21 - 56/21

We can now draw a number line with 0, 1, 2, 3, and 4 marked and labeled, as well as a tick mark for 5. We can then represent the fraction 861/21 as a point on the number line by dividing the space between 4 and 5 into 21 equal parts and marking the point 861/21 units to the right of 5. Similarly, we can represent the fraction 56/21 as a point on the number line by dividing the space between 2 and 3 into 21 equal parts and marking the point 56/21 units to the left of 3.

Learn more about number line here: brainly.com/question/24644930

#SPJ4

ANSWER

EXPLANATION

First, we have to find the total sum of 7/8 and 5/9.

That is:

Now, we subtract 5/6 from that.

That is:

That is the answer.

Answer:

The answer would be c- 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=1/2

volume d'un cube= x^3

donc (1/2)*(1/2)*(1/2)=1/8

Answer:

2/3

Step-by-step explanation:

rise 4 run 6 simplifies to 2/3

Answer:

its 38

Step-by-step explanation:

The number of students enrolled in the Spanish class who are also enrolled in the French class is 0.

Let the number of students enrolled in French class be F

Let the number of students enrolled in Spanish class be S

Let the number of students enrolled in German class be G

From the given information, we have

S + F + G = Total number of students...... (1)

Total number of students = 34S = 34 - F - G...... (2)

Now, we need to find out how many students are enrolled in both Spanish and French classes. So, let us assume that x students are enrolled in both Spanish and French classes.

So, the total number of students in Spanish and French classes will be S + F - x (as x students are enrolled in both the classes).

But we are given that there are 34 students enrolled in the Spanish class. Hence, the above expression will be equal to 34.

Therefore, S + F - x = 34

Now, substituting the value of S from equation (2) we get,

34 - F - G + F - x = 34 or, - G - x = 0 or, x = - G

But x represents the number of students enrolled in both Spanish and French classes, which cannot be negative.

Hence, there are no students enrolled in the Spanish class who are also enrolled in the French class.

To know more about number of students problems:  https://brainly.com/question/30061152

#SPJ11

The graph of the equation is a circle with center (1, -1) and radius 1/9. Hence, option A is correct.

To determine whether the equation represents a circle, we need to examine its form. The equation can be rewritten as follows,

81x² + 81y² - 72x + 72y - 32 = 0

By completing the square, we can manipulate the equation to match the standard form of a circle equation, (x - h)² + (y - k)² = r².

81(x² - 8/9x) + 81(y² + 8/9y) = 32

81(x - 4/9)² + 81(y + 4/9)² = 32 + 16

81(x - 4/9)² + 81(y + 4/9)² = 48

Dividing both sides by 48, we get,

(x - 4/9)² + (y + 4/9)² = 48/81

Comparing this with the standard form of a circle equation, we can see that the graph represents a circle. The center of the circle is the opposite of the values inside the parentheses, so the center is (4/9, -4/9).

Simplifying the radius gives us 1/3 * √(16/3) = 1/9. Therefore, the graph of the equation is a circle with center (1, -1) and radius 1/9.

To know more about equation of circle, visit,

https://brainly.com/question/1506955

#SPJ4

No, Etsuko is not correct. The length of the larger paper is 17.9 cm greater than the length of the smaller paper.

The smaller paper has a side length of 7.5 cm. The larger paper has a side length of 25.4 cm.

The difference between the two side lengths is 25.4 cm - 7.5 cm = 17.9 cm.

Therefore, the length of the larger paper is 17.9 cm greater than the length of the smaller paper.

Etsuko's error is likely due to the fact that she rounded the difference between the two side lengths to 32.9 cm. However, this rounding error is significant, and it results in her answer being incorrect.

Learn more about length on

https://brainly.com/question/28108430

#SPJ1

It is to be noted that the distance between P and ρ is: \(\approx\) 15.52

This solution is arrived at using the Line Segment theorem. See further explanation below.

The length of the line segment connecting two points in a plane is defined as the distance between two points. The method for calculating the distance between two locations is often written as

\(d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} \)

Hence, since we have ρ is to contain two points, we will solve as follows:

Distance between ρ and P where ρ is (0, -3) and (7,4)

we have to multiply the coordinates.

To multiply coordinates, you have to multiply the corresponding values.

That is

\(x_{1} \times x_{1} \)

and

\(y_{1} \times y_{1}\)

In this case:

x1 = 0

\(x_{1} = 0\)

also

\(x_{1} = 7\)

\(y_{1} = - 3\)

also

\(y_{1} = 4\)

Hence, for

\(x_{1} = 0 \times 7 = 0\)

for

\(y_{1} = - 3 \times 4 = 12\)

Hence, solving for the distance between P and ρ, we'd use coordinates of P as = (4, 3); and coordinates of ρ as = (0, -12)

Recall that distance is given as

\(d = \sqrt{((x_{2} – x_{1})² + (y_{2} – y_{1})²).} \)

Hence,

d = √((0-4)² + (-12-3))²)

\(d = \sqrt{{(( {0 - 4}^{2} }) + { (- 12 - 3)}^{2} } \)

Expand the brackets

\(d = \sqrt{ { - 4}^{2} + ( { - 15}^{2} } )\)

\(d = \sqrt{16 + 225} \)

\(d = \sqrt{441} \)

d = 15.5241746963

Approximately,

d = 15.52

Learn more about line segment:

https://brainly.com/question/24499249

#SPJ1

Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.

In the given question we have to explain, what is a split infinitive and how we fix it.

As we know that,

Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.

A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.

To learn more about split infinitives link is here

brainly.com/question/8101640

#SPJ4

False: The provided code snippet does not correctly determine whether the variable x contains a value in the range of 0 through 100, inclusive.

To explain further, the condition in the if-statement is incomplete and syntactically incorrect. To properly check if x is within the range of 0 through 100, you need to specify the variable in both parts of the condition. The corrected code should be as follows:

if (x >= 0 && x <= 100):

In this revised code, the first part x >= 0 checks if x is greater than or equal to 0, and the second part x <= 100 checks if x is less than or equal to 100. Both conditions need to be true for the if-statement to evaluate to true, indicating that x falls within the specified range.

By making this correction, the code will now accurately determine whether x contains a value within the range of 0 through 100, inclusive.

Learn more about variable here

https://brainly.com/question/28248724

#SPJ11