Solve for x. Round to the nearest tenth, if necessary.

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

Learn more about remainder theorem at: https://brainly.com/question/13328536

#SPJ1

Answer:

i may be wrong but ty 6

Step-by-step explanation:

Answer:

Note: This looks incorrect but I couldn't find what's wrong.

x=39.83

angle 1= 84.66 degrees

Step-by-step explanation:

The total sum of the exterior angles of any polygon is 360 degrees.

I see that angle 1 is congruent to angle (2x-5)

Here's our equation:

x+21+x+12+45+2x-5+53+2x-5=360

6x+121=360

6x=239

6x/6=239/6

x=39.83

angle 1 = 2x-5 = 2(39.83)-5 = 84.66 degrees

Answer:

D

Step-by-step explanation:

8x+x+x-2y=10x-2y variant D

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

Know more about the quadratic formula here:

https://brainly.com/question/1214333

#SPJ1

Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

The true argument is option B) The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false

The argument presented lacks logical reasoning and does not provide enough information to support the conclusion. The premise that "Bob is 13 feet tall" is a factual statement, but it is not sufficient to conclude that "Bob is taller than most other people." Without further information about the height distribution of people.

It is impossible to make such a conclusion based solely on Bob's height. Additionally, the argument does not provide any logical reasoning to connect the premise to the conclusion, so it is not a valid deductive argument.

Therefore, the correct option is (B)

Learn more about premise here

brainly.com/question/29699382

#SPJ4

The given question is incomplete, the complete question is :

Bob is 13 feet tall So, Bob is taller than most other people Suppose there are no implicit premises: this is the whole argument. Which of the following is true about this argument?

A The premise entails the conclusion because, if the premise is true, the conclusion has to be true

B The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false (setting aside facts not supplied by the premise)

C The premise entails the conclusion because, setting aside facts not supplied by the premise, there is no way the premise could be true and the conclusion false.

D The premise does not entail the conclusion because it has no suppositional strength

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P\((1+r/n)^{nt}\)

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P\((1+(0.07/4)^{(4*10)}\)

Simplifying further:

$40,000 = P\((1.0175)^{40}\)

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /\((1.0175)^{40}\)

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

know more about interest rate here:

https://brainly.com/question/25793394

#SPJ11

Answer:

• (a)11 points per game

• (b)y=11x

• (c)55 points

Explanation:

Anna scores 33 points in 3 basketball games.

(a)First, determine the rate.

Divide the number of points by the number of games played.

Anna scores 11 points per game.

(b)Let the number of games played = x

An equation to represent the relationship between x and the number of points is:

(c)When the number of games played = 5

Anna will score 55 points in 5 games.

The probability of selecting a Republican and then an Independent is 1/15

From the question, we have the following parameters that can be used in our computation:

Political discussion group consisting of

If the people are replaced, then we have

P(Republicans) = 5/15

P(Independents) = 3/15

So, we have

The probability of selecting a Republican and then an Independent

P = 5/15 * 3/15

Evaluate

P = 1/15

Hence, the probability of selecting a Republican and then an Independent is 1/15

Read mroe about probability at

https://brainly.com/question/24756209

#SPJ1

By calculating the total assets and total non-current assets, we could find out the amount of inventory and depreciation. Here the inventory is 11 million and Depreciation is 14.7 millions.

Inventory is the remaining of current assets, after the cash and accounts receivable.

Total current assets = Cash + account receivable+ inventory

Cash constitute of 10% of 20,000,000 = 20,000,000× 0.1 = 2,000,000

Accounts receivable is 40% of 20,000,000 = 20,000,000× 0.4 = 8,000,000

20,000,000 = 1,000,000+ 8,000,000+ Inventory

Inventory = 20,000,000 - 9,000,000 = 11,000,000.

Total assets = Current assets+ non-current assets

Non-current assets = Total assets - current assets

                               = 26,000,000- 20,000,000 = 6,000,000

Non-current assets is the sum of plant and equipment and other long term assets minus the depreciation

20,000,000 + 700,000 - depreciation = 6,000,000

Depreciation = 20,700,000 - 6,000,000 = 14,700,000

So the Inventory is $ 11 millions and Depreciation is 14.7 millions.

For more information regarding calculations with total assets, kindly refer

https://brainly.com/question/14920430

#SPJ4

Answer:

3rd option.

Step-by-step explanation:

figure u dont need one

pogpogii mooooooooooo

Answer:

The distance between points A and B is;

Explanation:

Given the two points A and B, with coordinates;

The distance between the two points can be calculated using the formula;

substituting the given coordinates;

Therefore, the distance between points A and B is;

Answer:

27x^6y^12

Step-by-step explanation:

3^3×x^2(3)×y^4(3)

=27^6y^12

The measure of the unknown angle is 75°

What is an angle?

An angle is a shape in Euclidean space created by two rays, termed the ends of the angle, that share a common termination, called the vertex of the angle. Angles produced by two rays are located in the longitudinal plane the rays. Angles are also generated when two planes overlap. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.

From figure,

x+70+25 = 180 (angle sum property of a triangle)

x = 180 - 95 = 75°

Hence, the measure of the unknown angle is 75°

To know more about angles, click on the link

https://brainly.com/question/2399464

#SPJ13

The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016

To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.

Restaurants per capita = R / p

Substituting the given equations, we get:

Restaurants per capita = \((6t + 35) / (200t + 4500)\)

To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).

Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)

= \((36 + 35) / (1200 + 4500)\)

= 71 / 5700

This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

95 - 6 x 5. 65 dollars is left needed.

Given data:

The numbers -4.7 and 8 are proportional to the numbers -9.5 and k

So, we write it as

Thus, the value of k is 16.

The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.

The quotient of the numbers are:

Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:

Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:

The quotient expressed in scientific notation is:

The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

Read more about inequality at

https://brainly.com/question/30390162

#SPJ1

Answer:

41.25 minutes i think sorry if its wrong

SOLUTION:

Step 1:

In this question, we are given the following:

Let the supply and demand functions for sugar be given by the following equations. Bye

Supply: p = 0.4x

Demand: p = 100 - 0.4x

a) Find the equilibrium demand.

Step 2:

At Equilibrium,

collecting like terms, we have that:

Divide both sides by 0.8, we have that:



Step 3:

Recall that:

CONCLUSION:

Equilibrium Demand:

Answer:

\(-2 \le y < \infty\)

Step-by-step explanation:

The range is the set of values of the y-coordinates of all the points in the function.

We see in the graph that the lowest y-coordinate is -2. The graph goes up from -2 on both sides all the way to infinity. The range is -2 and all values greater than -2.

Answer: \(-2 \le y < \infty\)

The range of the quadratic function is -2 ≤ y < ∞. And the correct option is   second.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

From the diagram, we can see that the quadratic function has a range.

In the graph, the curve is touching the y = -2.

So y = -2 is in the range.

And the end behavior is y tends to positive infinity.

And the curve is above y = -2.

That means, the curve range extends to -2 ≤ y.

That means, y < ∞ So, the range is -2 ≤ y < ∞.

Therefore, the range is -2 ≤ y < ∞.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

Answer:

D) -6 meters per minute

Step-by-step explanation:

\(\mathsf{rate \ of \ change =\dfrac{change \ in \ y}{change \ in \ x}}\)

\(\implies \mathsf{rate \ of \ change =\dfrac{250-280}{5-0}=-6 \ meters \ per \ minute}\)

\(↬rate \: of \: change = \frac{change \: in \: y }{change \: in \: x}\)

\(↬rate \: of \: change = \frac{250 - 280}{5-0} = -6 \: meters \: per \: minute \)

Answer :- \(\small\bold\red{-6 \: meters \: per \: minute}\)

Using it's concept, it is found that the slope of the function is of -4.

The slope of a function is given by the change in the output of the function divided by the change in the input.

For this problem, in 9 months, his weight changed from 265 pounds to 229 pounds, hence it changed -36 pounds, which means that the slope is of:

m = -36/9 = -4.

More can be learned about the slope of a function at https://brainly.com/question/24808124

#SPJ1

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

108 = 1/2 * x * (x + 6)

x² + 6x = 216

x² + 6x - 216 = 0

x² + 18x - 12x -216 = 0   (Splitting the middle term)

x(x + 18) - 12(x + 18) = 0

(x + 18) (x - 12) = 0

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

Answer:

1.75

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

dowload fraction caultor and it will tell u the anwers