I need help urgently on this problem, please and thank you

The operations between two functions:

Case 1: f(x) + g(x) = 2 - x - x²

Case 2: g(x) - f(x) = x² - x

Case 3: g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³

Case 4: f(x) - g(x) = x - x²

In this problem we need to perform operations between two functions, one operator for each case. There are three operations used in this problem:

Addition

(f + g) (x) = f(x) + g(x)

Subtraction

(f - g) (x) = f(x) - g(x)

Multiplication

(f · g) (x) = f(x) · g(x)

If we know that f(x) = 1 - x² and g(x) = 1 - x, then the operations between functions are:

Case 1

f(x) + g(x) = 2 - x - x²

Case 2

g(x) - f(x) = x² - x

Case 3

g(x) · f(x) = (1 - x) · (1 - x²) = 1 - x - x² + x³

Case 4
f(x) - g(x) = x - x²

To learn more on operations between functions: https://brainly.com/question/31207478

#SPJ1

The equation that passes through the point (4, -3) and has a slope of 4 is option A: 5x + 4y = 8.

To determine which equation passes through the point (4, -3) and has a slope of 4, we can substitute the values of x and y into each equation and check if the resulting equation is true.

Let's substitute x = 4 and y = -3 into each equation:

A. 5x + 4y = 8

Substituting x = 4 and y = -3:

5(4) + 4(-3) = 20 - 12 = 8

The equation is true for points (4, -3).

B. 5x - 4y = 8

Substituting x = 4 and y = -3:

5(4) - 4(-3) = 20 + 12 = 32

The equation is not true for points (4, -3).

C. 4x + 5y = 8

Substituting x = 4 and y = -3:

4(4) + 5(-3) = 16 - 15 = 1

The equation is not true for points (4, -3).

D. 4x - 5y = 8

Substituting x = 4 and y = -3:

4(4) - 5(-3) = 16 + 15 = 31

The equation is not true for points (4, -3).

Therefore, the equation that passes through the point (4, -3) and has a slope of 4 is option A: 5x + 4y = 8.

Learn more about slope at:

https://brainly.com/question/3493733

#SPJ1

Answer:

19.......

Step-by-step explanation:

correct

Answer:

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

Solve the equation for x:

The location of Z after the transformations is given as follows:

(-2,-1).

The original coordinates of Z are given as follows:

Z(1, 3).

The translation rule is given as follows:

(x,y) -> (x + 1, y - 4).

Hence the coordinates of Z after the translation are given as follows:

(2, -1).

The rule for a reflection over the y-axis is given as follows:

(x, y) -> (-x, y).

Hence, exchanging the sign of the y-coordinate, the location of Z is given as follows:

(-2,-1).

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

Answer:

(-2, -1)

Step-by-step explanation:

Hope this helps :)

Answer:

x=3

Step-by-step explanation:

12/8=x/2

12×2=8x

24=8x

x=24/8

x=3

Answer:

A≈201.06cm²

Step-by-step explanation:

A=4πr2

d=2r

Solving forA

A=πd2=π·82≈201.06193cm²

The total number of berry pitchers made is 15/5 or 3.

If the serving size of berry pitchers is 1/5, it means that each pitcher represents 1/5 of a full serving. To determine the total number of pitchers made, we need to calculate how many times 1/5 fits into the whole serving.

Let's assume that the total number of pitchers made is represented by "x". We can set up the following equation:

x * 1/5 = 3

To solve for "x," we multiply both sides of the equation by 5:

5 * (x * 1/5) = 5 * 3

This simplifies to:

x = 15/5

Thus, the total number of berry pitchers made is 15/5 or 3.

For such more questions on berry pitchers

https://brainly.com/question/28783648

#SPJ11

Answer:

Step-by-step explanation:

its 123 jd

Answer:

Ian has 14 more pieces of brown fabric than green fabric. (In meters its 2 1/6 more)

Step-by-step explanation:

The distance between point A (2, 4) and point B (-2, 1) is equal to 5 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-2 - 2)² + (1 - 4)²]

Distance = √[(-4)² + (-3)²]

Distance = √[16 + 9]

Distance = √25

Distance = 5 units.

Read more on distance here: brainly.com/question/12470464

#SPJ1

Complete Question:

3. Find the distance from point A to B.

A (2, 4) B (-2, 1) C(2, -1)​ D (0, 0)

The total area of the composite figure is 17 square centimeters.

Remember that the area of a rectangle is equal to the product between its dimensions.

We can separate the figure into two rectangles, one of these rectangles is of 1cm by 2cm, then its area is:

A = 1cm*2cm = 2cm²

The other rectangle is of 3cm by 5cm, then its area is:

A' = 3cm*5cm = 15cm²

Adding that we get a total of:

total area = 2cm² + 15cm² = 17cm²

That is the area of the figure.

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

The distance from the bottom of the building to the point where the ladder is touching the building for triangle 2, obtained using trigonometric ratio of tangent is 12 feet. The correct option is therefore;

12 feet

The trigonometric ratios are the value relationship between an interior angle of a right triangle and two of the sides of the triangle.

The right triangles are similar, therefore, the tangent of the angle the ladder makes with the ground are the same, which indicates;

tan(θ) = (Length of the side facing the angle θ) ÷ (Length of the side adjacent to the angle θ)

The side facing the angle is the distance from the bottom to the point where the ladder touches the building.

The adjacent to the angle is the horizontal distance from the bottom to the ladder to the building.

Therefore; tan(θ) = 18/12 = x/8

Where x = The distance from the bottom of the building to the point the ladder touches the building for triangle 2

18/12 = x/8

x = 18/12 × 8 = 12

The distance, x = 12 feet

Learn more on the tangent of an angle here: https://brainly.com/question/13952108

#SPJ1

Answer:

12?

Step-by-step explanation:

I'm not too sure! I am in the middle of taking the test right now.

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

For more question on Decentralization visit:

brainly.com/question/6103174

#SPJ1

complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

The other solution to the equation x³ + 3x² - x = |x-1| is approximately x~ = -2.6.

1. Start by plotting the graphs of both sides of the equation on a graphing calculator.

2. The left side of the equation, x³ + 3x² - x, can be plotted as a curve.

3. The right side of the equation, |x-1|, can be plotted as a V-shaped graph with the vertex at (1, 0).

4. Find the intersection points of the two graphs.

5. By observing the graph, it can be seen that the two given solutions, a~ = -0.7 and b~ = 0.5, are present.

6. Identify the other solution, which is the third intersection point.

7. Determine the approximate x-coordinate of the third intersection point by reading the value from the graph.

8. Round the obtained x-coordinate to the nearest tenth.

9. The other solution is approximately x~ = -2.6.

For more such questions on equation, click on:

https://brainly.com/question/17145398

#SPJ11

Answer:

The expected count of rolls to land showing a 3 is 10.00.

The most specific correct name for this figure is a trapezoid.

A trapezoid is a quadrilateral with only one pair of parallel sides. >>>This figure is a trapezoid.

An isosceles trapezoid is a trapezoid in which the top and bottom sides are parallel, while the remaining two non-parallel sides have the same length. >>> this figure is not an isosceles trapezoid.

A parallelogram has opposite sides parallel. >>>  This figure is not a parallelogram.

A quadrilateral is a four-sided polygon, having four edges and four corners. >>>This figure is a quadrilateral.

Answer:

25 sheets

Step-by-step explanation:

=42-17 = 25 sheets

Answer:

25 sheets of paper

Step-by-step explanation:

42-17=25

The measure of angle U is given as follows:

m < U = 66º.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation is true to obtain the missing length:

c² = a² + b² - 2abcos(C)

Hence the length of side v is obtained as follows:

v² = 22² + 79² - 2 x 22 x 79 x cosine of 51 degrees

v² = 4537.48

[tex]v = \sqrt{4537.48}[/tex]

v = 67.36.

By the law of sines, we have that:

sin(51º)/67.36 = sin(U)/79

Hence the measure of angle U is obtained as follows:

sin(U) = 79 x sine of 51 degrees/67.36

sin(U) = 0.9114

m < U = arcsin(0.9114)

m < U = 66º.

More can be learned about the law of cosines at https://brainly.com/question/4372174

#SPJ1

Answer:

The North American Free Trade Agreement (NAFTA) among the United States, Canada and Mexico went into effect on January 1, 1994. It is the first trade agreement the United States has entered into with a geographically-close developing country and has raised concerns about its economic effect, particularly on U.S. communities and workers. Since the mid-1980s, when Mexico began reducing trade restrictions, the U.S. and Mexican economies have become more highly integrated. This is evidenced by the rapid growth in U.S. merchandise trade with Mexico, which is now 12% of all U.S. trade

Step-by-step explanation:

The first function in terms of the second is tan(θ) = √[-1 + 1/cos²(θ)]

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

First = tan(θ)

Second = cos(θ)

The basis trigonometry identity is

sin²(θ) + cos²(θ) = 1

Divide through the equation by cos²(θ)

So, we have

tan²(θ) + 1 = 1/cos²(θ)

Subtract 1 from both sides

tan²(θ) = - 1 + 1/cos²(θ)

Take the square root of both sides

tan(θ) = √[-1 + 1/cos²(θ)]

Hence, the first in terms of the second is tan(θ) = √[-1 + 1/cos²(θ)]

Read more about trigonometry function at

https://brainly.com/question/24349828

#SPJ1

The probability the point will be in the region labeled A is 2/15 if  point is selected at random inside the given figure.

Given that a point is selected at random from inside the given figure.

We are to find the probability that the point will be in the region labeled B.

From the figure, we note that the regions A, B and D are rectangles and the region C is a square.

The areas of all the regions are calculated as follows:

Area of region A is 5×(3+4) =35 sq in

Area of region B is 3×4  = 12 in

Area of region C is 4² = 16 sq in

Area of region D is 3×(4+5)= 27 sq. in

Therefore, the probability that the randomly chosen point will lie in the region B is given by P

P = 12/35+12+16+27

=12/90

=2/15

Hence,  the probability the point will be in the region labeled A is 2/15

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The total area of the prism is (a) 120 + 20k in terms of k

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

The pentagonal prism

The total area of the prism is calculated as

Area = 2 * Pentagon + 5 * Rectangle

Given that

P = 20 and

Apothem, a = k

We have

Pentagon = 1/2 * 20 * k

Pentagon = 10k

Next, we have

Rectangle = 6 * P/5

So, we have

Rectangle = 6 * 20/5

Rectangle = 24

Recall that

Area = 2 * Pentagon + 5 * Rectangle

So, we have

Area = 2 * 10k + 5 * 24

Evaluate

Area = 20k + 120

Hence, the total area of the prism is (a) 120 + 20k

Read more about area at

https://brainly.com/question/26403859

#SPJ1

To find the total area of a prism, we need to add up the area of all its faces. The given prism has a rectangular base with length 20 inches and width 6 inches. The area of the base is therefore 20 x 6 = 120 square inches.

The prism also has two congruent rectangular faces, each with a length of 20 inches and a height of K inches. The area of each face is therefore 20K square inches. Since there are two such faces, their total area is 2 x 20K = 40K square inches.
Finally, the prism has two more rectangular faces, each with a length of 6 inches and a height of K inches. The area of each face is therefore 6K square inches. Since there are two such faces, their total area is 2 x 6K = 12K square inches.
Adding up all the face areas, we get:
120 + 40K + 12K = 120 + 52K
Therefore, the total area (in terms of K) of the prism is 120 + 52K square inches.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ11

Answer:

We want to test the null hypothesis that the proportion of children aged 8-12 who have cell phones is 0.58, against the alternative hypothesis that the proportion is less than 0.58.

The sample proportion is:

p = 460/822 = 0.559

The sample size is n = 822.

Under the null hypothesis, the test statistic follows a standard normal distribution. The test statistic is:

z = (p - P0)/sqrt(P0(1 - P0)/n)

where P0 is the hypothesized proportion under the null hypothesis.

Substituting the values we obtained, we get:

z = (0.559 - 0.58)/sqrt(0.58(1 - 0.58)/822) = -1.691

The critical value for a one-tailed test with a significance level of 0.10 and 821 degrees of freedom is -1.282. Since the test statistic (-1.691) is less than the critical value (-1.282), we reject the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to support the claim that less than 58% of children aged 8-12 have cell phones.

Hope that is what you are looking for :).

We can see here that the dollar doesn't belong to the box.

We can see here that in order to known if the dollar belongs to the box or not, here is an explanation:

Let the single tickets = x

and the couples tickets = y

Note: $8 = 2 tickets (for couples),

Thus, 1 ticket = $4

5x + 4y = 200  -------(1)

x + y = 47 ----------- (2)

-4 × (2)

5x + 4y = 200  -------(1)

-4x - 4y = 188

x = 12

Substituting 12 in (2)

12 + y = 47

y = 47 - 12 = 35

y = 35

So, 5x + 4y = 200

5 (12) + 4 (35) = 200

60 + 140 = 200.

Thus, we see here that the dollar doesn't belong to the box.

Learn more about algebra on https://brainly.com/question/22399890

#SPJ1

Step-by-step explanation:

x y^3 z^2      =   x^1  y^3  z^2  

                           the x   exponent is '1'

The value of function for x = 6 is f(6) = 2.1

Given that f(x) = [tex]18 / [ 6 + 5^{e-0.1x ][/tex]

We have to find the value of this function at x = 6.

f(6) =

  [tex]18 / [ 6 + 5^{e-0.1 * 6} ] \\ \\ = 18 / [ 6 + 5^{e-0.6} ][/tex]

≈  2.1

Therefore, f(6) = 2.1

Learn more about functions here -

brainly.com/question/12431044

#SPJ1

Answer:

2.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

No

for it to be a right angle triangle the longest side would have to be the square root of 8 squared plus 11 squared which is 13.6

answer

no Pythagorean theorem doesnt work

steps

8²+11² should equal 17²

BUT

121+64=185

17²=289

Answer:

10

Step-by-step explanation:

the answer is in the question

To calculate the maxHP values for levels 62-70 by plugging in the appropriate level values into the formula.

One way to extend the maxHP for levels beyond 60 is to use the same formula that was used to calculate the maxXP for levels 1-60, but with the appropriate values plugged in.

The formula for the maxHP for a given level can be approximated as:

maxHP = baseHP x  (1 + level/5)²

where baseHP is the starting HP for level 1 (in this case, it's 330).

To extend the maxHP for levels 61-70, you can simply plug in the appropriate level values into the formula and calculate the corresponding maxHP values.

For example, to find the maxHP for level 61, you would plug in level = 61:

maxHP = 330 x (1 + 61/5)²

maxHP ≈ 2619.9

Similarly, you can calculate the maxHP values for levels 62-70 by plugging in the appropriate level values into the formula.

Learn more about maxHP here:

https://brainly.com/question/31734083

#SPJ1