Solve for the value of x.

The Riemann sum Le for f(T) = 3 – 2-4 on the interval (-1,2] can be found by dividing the interval into six subintervals of equal width.

(a) Plotting y = f(2) shows that the function takes the value 1 at the left endpoint and -5 at the right endpoint. Drawing the six rectangles whose areas are the terms of Le shows that each rectangle has width 1/3 and heights 1, 1, -5, -5, 1, and 1. (b) Calculating L6 gives L6 = (1/3)[1 + 1 - 5 - 5 + 1 + 1] = -2. Approximating this to one decimal place gives L6 ≈ -2.0. (c) Based on the plot, Lo appears to be an underestimate for the area.
For the function f(T) = 3 - 2T - 4 on the interval (-1, 2], let's use the Riemann sum L6 with 6 subintervals. (a) To plot y = f(2), substitute T=2 and obtain y = -5. The subintervals endpoints are -1, -0.5, 0, 0.5, 1, 1.5, and 2. Draw 6 rectangles using the left endpoint height.
(b) L6 = ΔT[f(-1) + f(-0.5) + f(0) + f(0.5) + f(1) + f(1.5)] = 0.5[1 - 0.5 - 2 - 3.5 - 5 - 6.5] = -9. Exact answer is -9 and approximated is -9.0.
(c) Based on the plot, L6 appears to be an underestimate for the area since the rectangles lie below the curve.

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Answer:

B     5 units

Step-by-step explanation:

Answer:

5 left (b)

Step-by-step explanation:

the x-axis the bottom axis and it starts at 0 and -5 is 5 from 0

Answer:  Radeon R9 390 graphics card with a Core i5-2300 2.8GHz or FX-6350 processor

Step-by-step explanation:

Answer:

Equiangular and Equilateral

Step-by-step explanation:

I tried

The leading coefficient of the polynomial f(x) = -8x³ + 5x is given as follows:

-8.

The polynomial for this problem is defined as follows:

f(x) = 5x - 8x³.

In decaying order of exponent, which is the standard notation, the polynomial is given as follows:

f(x) = -8x³ + 5x.

The leading coefficient is then given by the term that multiplies the term of x with the highest exponent.

The highest exponent is of 3, while the value that multiplies x³ is of -8, meaning that the leading coefficient of the polynomial is of -8.

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(10) The first four numbers from the random number stream are: 42, 114, 103, and 68.

b.(5) The maximum period for this generator is m, which is 128.

a. To compute the first four numbers from the random number stream generated by the linear congruential method with m = 128, a = 9, and c = 5, we'll use X0 = 1,213 as the initial seed value.

Here's the calculation for the first four numbers:

1. X1 = (a * X0 + c) mod m

  X1 = (9 * 1213 + 5) mod 128

  X1 = 10,922 mod 128

  X1 = 42

2. X2 = (a * X1 + c) mod m

  X2 = (9 * 42 + 5) mod 128

  X2 = 378 mod 128

  X2 = 114

3. X3 = (a * X2 + c) mod m

  X3 = (9 * 114 + 5) mod 128

  X3 = 1,031 mod 128

  X3 = 103

4. X4 = (a * X3 + c) mod m

  X4 = (9 * 103 + 5) mod 128

  X4 = 932 mod 128

  X4 = 68

Therefore, the first four numbers from the random number stream are: 42, 114, 103, and 68.

b. The maximum period for a linear congruential generator with modulus m occurs when the generator is full period, meaning it generates all possible values from 0 to m - 1 before repeating. In this case, the modulus m is 128. The maximum period for this generator can be achieved if and only if the following conditions are met:

1. The seed value X0 and the modulus m are relatively prime.

2. The constant a - 1 is divisible by all prime factors of the modulus m.

3. The constant a - 1 is divisible by 4 if the modulus m is divisible by 4.

In this case, a = 9, and m = 128. We need to check if the conditions are met:

1. The greatest common divisor (GCD) of 9 and 128 is 1. Hence, X0 and m are relatively prime.

2. The prime factors of 128 are 2 and 2. (128 = 2^7). Since a - 1 = 9 - 1 = 8, and 8 is divisible by all prime factors of 128, the condition is satisfied.

3. Since 128 is divisible by 4, the condition that a - 1 is divisible by 4 is also satisfied.

Therefore, the maximum period for this generator is m, which is 128.

c. Two desired properties of random number generators that are not met by this generator are:

1. Uniformity: The generated numbers should be uniformly distributed over the interval [0, m - 1]. In this case, the linear congruential generator with a = 9, c = 5, and m = 128 does not produce uniformly distributed numbers. Certain patterns may emerge, and the generated numbers may not be evenly distributed.

2. Independence: The generated numbers should be independent of each other, meaning that the knowledge of one number does not provide any information about the others. In this generator, there is a strong dependence on the previous number, as each number is generated using the formula (a * Xn-1 + c) mod m. This dependence leads to a patterned sequence of numbers.

Therefore, this generator fails to meet the desired properties of uniformity and independence.

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Answer: 3.86

Step-by-step explanation:

Here we will show you how to calculate 9 divided by 7/3. We will give you the answer in fraction form and decimal form.

Here is 9 divided by 7/3 displayed mathematically:

9

 ÷    

7

3

The numbers in 9 divided by 7/3 are labelled below:

9 = whole number

7 = numerator

3 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

9 x 3

7

 =  

27

÷

7

Thus, the answer to 9 divided by 7/3 in fraction form is:

27

÷

7

To make the answer to 9 divided by 7/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

27 / 7 = 3.86

The answer is rounded to the nearest two decimal points if necessary.

27/7 is an improper fraction and should be written as 3 6/7.

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9 divided by 7/3 is equal to 27/7 or 3 6/7.

To divide 9 by 7/3, we can rewrite the division as a multiplication by the reciprocal of the divisor.

The reciprocal of 7/3 is obtained by flipping the fraction, which means interchanging the numerator and denominator.

Therefore, the reciprocal of 7/3 is 3/7.

So, we can rewrite the division as:

9 ÷ (7/3) = 9 × (3/7)

To multiply fractions, we simply multiply the numerators together and the denominators together.

So, multiplying 9 and 3 gives us 27, and multiplying 7 and 1 gives us 7.

Therefore:

9 ÷ (7/3) = 27/7

The result, 27/7, is an improper fraction. It means we have 27 parts divided into 7 equal parts.

However, if you prefer, we can also express the result as a mixed number, which consists of a whole number and a proper fraction.

To convert 27/7 into a mixed number, we divide the numerator (27) by the denominator (7).

The quotient is the whole number part, and the remainder becomes the numerator of the proper fraction.

27 ÷ 7 = 3 remainder 6

So, the mixed number representation of 27/7 is:

27/7 = 3 6/7

Therefore, 9 divided by 7/3 is equal to 27/7 or 3 6/7.

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Answer:

Step-by-step explanation:

I, II and III only are all valid reasons why it is sometimes more appropriate to collect data from a sample than to conduct a census of the population

The reasons why it is sometimes more appropriate to collect data from a sample than to conduct a census of the population are:

I. a census may be too expensive

II. a census may be too time-consuming

III. it may be impossible to sample every member in a population

Therefore, the correct answer is: I, II and III only.

A census involves collecting data from every member of a population, while a sample involves collecting data from a subset of the population. There are situations where it is not practical or feasible to conduct a census and a sample may be more appropriate.

Reason I: Conducting a census may be too expensive. A census requires significant resources to collect data from every member of a population, which may not be feasible due to budget constraints.

Reason II: Conducting a census may be too time-consuming. Collecting data from every member of a population can be a time-consuming process, which may not be practical or feasible in some situations.

Reason III: It may be impossible to sample every member in a population. In some cases, the population may be too large or dispersed, making it difficult to reach every member of the population. In other cases, there may be logistical or ethical constraints that make it impossible to sample every member of the population.

Therefore, collecting data from a sample can be a more practical and feasible alternative to a census in some situations. A well-designed sample can provide accurate and reliable estimates of population characteristics while saving time and resources.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

44

Step-by-step explanation:

the smaller triangle is multiples of 9

(9, 18, 27, 36, 45, etc.)

and the bigger triangle is multiples of 11

(11, 22, 33, 44, 55, etc.)

Answer:

44

Step-by-step explanation:

22÷18=11/9

33÷27=11/9

x÷36=11/9

x=11/9×36

x=44

Answer:

---------------------

Find the area of the four walls:

Find the area of the (window and door) openings:

Convert it to ft² (1 ft = 12 in):

Subtract it from total area of walls:

Convert the area to be painter to square yards (1 yd = 3 ft:

Answer:

See all three answers below

Step-by-step explanation:

Given data

Amount Earned= $54275

Income Tax= 18%

a Work out how much income tax he pays.

Amount of income tax

=18/100*54275

=0.18*54275

=$9769.5

b Work out what percentage of his income he pays in tax.

=9769.5/54275*100

=0.18*100

=18%

c. If the income tax rate is increased to 21%, how much more tax will Sam pay?

=21/100*54275

=0.21*54275

=$11397.75

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

So Adam has eaten 1/6 of the pizza.  :)  ;)

Step-by-step explanation:

Assuming the pizza is cut into 8 equal pieces (which would each be 45 degrees of the total 360 degrees of the pizza), we can calculate how much of the pizza Adam has eaten with the given information.

First, we add up the angles of the two pieces Adam has eaten:

35 degrees + 25 degrees = 60 degrees

This means that Adam has eaten 60 degrees out of the total 360 degrees of the pizza. To convert this to a fraction, we divide 60 by 360:

60 / 360 = 1/6

So Adam has eaten 1/6 of the pizza.

tnx.. brainiest please...tnx

Simplifying the fraction by dividing both the numerator and denominator by 7: 7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

Let's begin with the solution by calculating the fraction of the pizza that has been consumed:

Pizza's central angle = 360°

The central angle of Adam’s first piece = 35°

The central angle of Adam’s second piece = 25°

The total central angle of Adam's pizza pieces = 35° + 25° = 60°

The fraction of pizza was eaten by Adam = (Total central angle of Adam's pizza pieces)/(Central angle of one whole pizza)Fraction of pizza eaten by Adam = 60/360 = 1/6So,

Adam has eaten 1/6 of the pizza. Now, we can represent 1/6 as a fraction in which the numerator and denominator have the same value.

We do this by multiplying the numerator and denominator of the fraction by 7/7.

Thus, we get:1/6 = (1 × 7)/(6 × 7) = 7/42Therefore,

Adam has eaten 7/42 of the pizza.

Simplifying the fraction by dividing both the numerator and denominator by 7:7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

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Answer:

\(7^{8}\)

Step-by-step explanation:

When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.

please give brainliest if it helped:)

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

There are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.

A Venn diagram is a graphic that employs circles to depict connections between objects or finite groups of objects.

Circles that overlap share characteristics, but circles that do not overlap do not.

In the Venn diagram the following data is observed;

Chemistry - 9                                          

Biology - 11                                            

Physics - 7                                            

Biology+Chemistry- 5

Biology+Physics - 4

Physics+Chemistry -6

Physics+Chemistry+Biology-3

None of the three - 18

Total -- 63      

We can clearly see from the table that the grand total of the table of data is the total number of pupils in the senior class. In other words, the total number of people is 63.

In addition, there are 7 students who are taking chemistry and biology but not physics.

The number of students who do not take science is equal to the number of students who do not take biology, chemistry, or physics, i.e. the 18 students outside the circle.

There are 63 students are in the 2015 senior class

There are 5 students who are taking chemistry and biology, but not physics.

There are 18 students who are not taking science.

Hence there are 63  students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.

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Answer:

...

Step-by-step explanation:

Answer:

(a) The ball will hit the ground after 3 seconds

(b) The maximum height is 6.125

Step-by-step explanation:

Given

\(h(t) = -2t^2 +5t +3\)

Solving (a): When the frisbee will hit the ground?

To do this, we set h(t) to 0

So, we have:

\(h(t) = -2t^2 +5t +3\)

\(-2t^2 +5t +3=0\)

Expand

\(-2t^2 +6t-t +3=0\)

Factorize

\(-2t(t - 3) -1(t - 3) = 0\)

Factor out t - 3

\((-2t -1)(t - 3) = 0\)

Split:

\(-2t -1= 0\ or\ t - 3 = 0\)

Solve for t in both equations

\(-2t =1\ or\ t = 3\)

\(t =-\frac{1}{2}\ or\ t = 3\)

Time can't be negative; So:

\(t = 3\)

Solving (b): How height the frisbee will go?

First, we calculate time to reach the maximum height

\(t = -\frac{b}{2a}\)

Where:

\(h(t) = at^2 + bt + c\)

By comparison:

\(a = -2,\ b =5,\ c =3\)

So:

\(t = -\frac{b}{2a}\)

\(t = -\frac{5}{2*-2}\)

\(t = \frac{5}{4}\)

\(t = 1.25\)

So, the maximum height is:

\(h_{max} = -2 * 1.25^2 + 5 * 1.25 + 3\)

\(h_{max} = 6.125\)

A relation R on a set A is said to be an equivalence relation if and only if the relation R is reflexive, symmetric and transitive.

The equivalence relation is a relationship on the set which is generally represented by the symbol “∼”.

Reflexive: A relation is said to be reflexive, if (a, a) ∈ R, for every a ∈ A.

Symmetric: A relation is said to be symmetric, if (a, b) ∈ R, then (b, a) ∈ R.

Transitive: A relation is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.

In terms of equivalence relation notation, it is defined as follows:

A binary relation ∼ on a set A is said to be an equivalence relation, if and only if it is reflexive, symmetric and transitive.

(i .e) For all x, y, z in set A,

x ∼ x (Reflexivity)

x ∼ y if and only if y ∼ x (Symmetry)

If x ∼y and y ∼z, then x∼ z (Transitivity)

Equivalence relations can be explained in terms of the following examples:

The sign of ‘is equal to (=)’ on a set of numbers; for example, 1/3 = 3/9.

For a given set of triangles, the relation of ‘is similar to (~)’ and ‘is congruent to (≅)’ shows equivalence.

For a given set of integers, the relation of ‘congruence modulo n (≡)’ shows equivalence.

The image and domain are the same under a function, which shows the relation of equivalence.

For a set of all angles, ‘has the same cosine’.

For a set of all real numbers,’ has the same absolute value’.

Equivalence Relation Proof

Here is an equivalence relation example to prove the properties.

Let us assume that R be a relation on the set of ordered pairs of positive integers such that ((a, b), (c, d))∈ R if and only if ad=bc. Is R an equivalence relation?

In order to prove that R is an equivalence relation, we must show that R is reflexive, symmetric and transitive.

The Proof for the given condition is given below:

Reflexive Property

According to the reflexive property, if (a, a) ∈ R, for every a ∈A

For all pairs of positive integers,

((a, b),(a, b))∈ R.

Clearly, we can say

ab = ab for all positive integers.

Hence, the reflexive property is proved.

Symmetric Property

From the symmetric property,

if (a, b) ∈ R, then we can say (b, a) ∈ R

For the given condition,

if ((a, b),(c, d)) ∈ R, then ((c, d),(a, b)) ∈ R.

If ((a, b),(c, d))∈ R, then ad = bc and c b = da

since multiplication is commutative.

Therefore ((c, d),(a, b)) ∈ R

Hence symmetric property is proved.

Transitive Property

From the transitive property,

if (a, b) ∈ R and (b, c) ∈ R, then (a, c) also belongs to R

For the given set of ordered pairs of positive integers,

((a, b), (c, d))∈ R and ((c, d), (e, f))∈ R,

then ((a, b),(e, f) ∈ R.

Now, assume that ((a, b), (c, d))∈ R and ((c, d), (e, f)) ∈ R.

Then we get, ad = c b and c f = de.

The above relation implies that a/b = c/d and that c/d = e/f,

so a/b = e/f we get a f = be.

Therefore ((a, b),(e, f))∈ R.

Hence transitive property is proved.

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The time it would take Lin to run 1 mile is 8/55 hour

The time it would take Noah to run 1 mile is 2/13 hour

From the question, we are to calculate how long it would take Lin and Noah to run 1 mile

From the given information,

Lin ran 2 3/4 miles in 2/5 of an hour

Thus,

Lin's speed = (2 3/4) ÷ 2/5

Lin's speed = 11/4 ÷ 2/5

Lin's speed = 11/4 × 5/2

Lin's speed = 55/8 miles/hour

Now, to determine how long it would take Lin to run 1 mile

Using the formula,

Time = Distance / Speed

Time = 1 / (55/8)

Time = 8/55 hour

Also,

Noah ran 8 2/3 miles in 4/3 of an hour

Thus,

Noah's speed = (8 2/3) ÷ 4/3

Noah's speed = 26/3 ÷ 4/3

Noah's speed = 26/3 × 3/4

Noah's speed = 26/4

Noah's speed = 13/2 miles/hour

Now, to determine how long it would take Noah to run 1 mile

Using the formula,

Time = Distance / Speed

Time = 1 / (13/2)

Time = 2/13 hour
Hence, it will take 2/13 hour

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The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.

In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.

Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.

Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.

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Answer:

x = 18

Step-by-step explanation:

given that the 3 lines are parallel then the parallel lines divide the transversals proportionally , that is

\(\frac{3}{9}\) = \(\frac{6}{x}\) ( cross- multiply )

3x = 54 ( divide both sides by 3 )

x = 18

In both cases, we have a contradiction. Therefore, no group can have exactly 2 elements of order 2.

To prove that no group can have exactly 2 elements of order 2, we can use the fact that if an element has order 2, then it is its own inverse. Therefore, if a group has exactly 2 elements of order 2, let's call them a and b, then a and b are their own inverses. This means that ab is also of order 2 since (ab)^2 = a^2b^2 = e (the identity element). So we now have three elements of order 2, contradicting our assumption that there were only two. Thus, no group can have exactly 2 elements of order 2.
To prove that no group can have exactly 2 elements of order 2, consider the following:

Let G be a group with exactly two elements of order 2, say a and b. Since a and b have order 2, we have a^2 = e and b^2 = e, where e is the identity element in the group.

Now, consider the product ab. If ab has order 2, then (ab)^2 = e. However, (ab)^2 = a^2 * b^2 = e * e = e, which means ab also has order 2. This contradicts our assumption that G has exactly two elements of order 2 because now we have a third element of order 2.

If ab has order 1, then ab = e, which implies that a = b^(-1) or a = b since both a and b have order 2. This contradicts our assumption that a and b are distinct elements of G.

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Step-by-step explanation:

\(196\pi\)

is the answer

plz mark as brainliest

Answer:

its none, because none of them split apart

Step-by-step explanation:

Answer:

Step-by-step explanation: This is the all-math caculator that will help you and I can relate hehe I am not the greatest Person at math so below is how you would solve it! "Good Luck dear"!!

To evaluate the composite functions f(g(-1)) and g(f(0)). The functions f(x)  = 3x + 3 and g(x) = -7 are given. We need to substitute given values into functions and simplify the expressions. Therefore, f(g(-1)) = -18,g(f(0))  = -7.

(a) To find f(g(-1)), we substitute -1 into the function g(x) first, which gives us g(-1) = -7. Then, we substitute -7 into the function f(x) to get f(g(-1)) = f(-7). Evaluating f(-7) by substituting -7 into the function f(x), we get f(-7) = 3(-7) + 3 = -21 + 3 = -18. Therefore, f(g(-1)) = -18.

(d) To find g(f(0)), we substitute 0 into the function f(x) first, which gives us f(0) = 3(0) + 3 = 0 + 3 = 3. Then, we substitute 3 into the function g(x) to get g(f(0)) = g(3). Evaluating g(3) by substituting 3 into the function g(x), we get g(3) = -7. Therefore, g(f(0)) = -7.

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Answer:

30

hope it helps

Answer:

3x1/8x2/5=3/20

Step-by-step explanation:

It takes 0.152 liters of gasoline to drive 111 kilometers at the same rate Amelia drove.

To find the number of kilometers Amelia drove per liter of gasoline, we can divide the total distance traveled (484848 kilometers) by the total amount of gasoline used (666 liters).

Kilometers per liter = Total distance / Total gasoline used

Kilometers per liter = 484848 km / 666 L

Kilometers per liter ≈ 728.73 km/L

So, Amelia drove approximately 728.73 kilometers per liter of gasoline.

To determine how many liters it takes to drive 111 kilometers at the same rate, we can use the inverse of the kilometers per liter value.

Liters for 111 kilometers = 111 km / (Kilometers per liter)

Liters for 111 kilometers = 111 km / 728.73 km/L

Liters for 111 kilometers ≈ 0.152 L

Therefore, it would take approximately 0.152 liters of gasoline to drive 111 kilometers at the same rate.

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Answer:

Step-by-step explanation:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

transitive property,  If a = b and b = c, then a = c.

Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

I hope this was good enough for you:

Given:

The function \(g(x)\) doubles the square of the input and then subtracts 13.

To find:

The value of \(g(3)\).

Solution:

Let \(x\) be the input value.

The square of the input is \(x^2\).

Doubles the square of the input \(2x^2\).

Doubles the square of the input and then subtracts 13, i.e., \(2x^2-13\).

So, the function is:

\(g(x)=2x^2-13\)

Putting \(x=3\) in the above function, we get

\(g(3)=2(3)^2-13\)

\(g(3)=2(9)-13\)

\(g(3)=18-13\)

\(g(3)=5\)

Therefore, the value of \(g(3)\) is 5.