Multiply (2x^2+6x-10)(x^2-2x+2).

Multiply (2x^2+6x-10)(x^2-2x+2).

Answers

Answer 1
To multiply two polynomials (2x^2 + 6x - 10) and (x^2 - 2x + 2), we use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial and simplify. The steps are as follows:

Distribute the first term of the first polynomial: 2x^2 * (x^2 - 2x + 2) = 2x^4 - 4x^3 + 4x^2.
Distribute the second term of the first polynomial: 6x * (x^2 - 2x + 2) = 6x^3 - 12x^2 + 12x.
Distribute the third term of the first polynomial: -10 * (x^2 - 2x + 2) = -20x^2 + 20x - 20.
Add the results from steps 1-3: 2x^4 - 4x^3 + 4x^2 + 6x^3 - 12x^2 + 12x - 20x^2 + 20x - 20.
Simplify: 2x^4 + 8x^3 - 20x^2 + 20x + 12x - 20.
The result is: 2x^4 + 8x^3 - 20x^2 + 20x + 12x - 20

Related Questions

Which choice is equivalent to the product below when x ≥ 0?
√4x² √20x²²

Answers

Answer:

Step-by-step explanation:

c

given a circle with the equation (x-7)^2+(y+3)^2=25 list the center and the radius of the circle

Answers

The required center of the circle is at (7, -3) and the radius of the circle is 5.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²


Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Given the equation of the circle:
(x-7)² + (y+3)² = 25

Compare the equation with the standard equation
Center of the circle
(-h, -k) = (-(-7), -(3))
(-h, -k) = (7, -3)

Radius,
r² = 25
r = 5

Thus, the required center of the circle is at (7, -3) and the radius of the circle is 5.

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Triangle RST is translated so that point R (-2, 1) is mapped to point R’ (2, -4). If point S is (-4, 3), what ordered pair best represents point S’?

Answers

The ordered pair (0, -2) best represents point S’ after the translation of triangle RST.

How to determine the ordered pair of S

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

R (-2, 1) is mapped to point R’ (2, -4).

This means that

(x, y) = (x + 2 - -2, y - 4 - 1)

This gives

(x, y) = (x + 4, y - 5)

For the point S, we have"

Substitute the known values in the above equation, so, we have the following representation

S' = (-4 + 4, 3 - 5)

Evaluate

S' = (0, -2)

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Write a linear function f with the given values f(3)=-4f(5)=-4​

Answers

The linear function that passes through the points f(3)= -4 and f(5) = -4 is:

f(x) = -4

How to write the linear function?

A general linear function can be written as:

f(x) = a*x + b

Where a is the slope and b is the y-intercept.

Here we know the two pairs:

f(3) = -4

f(5) = -4

So for the inputs x = 3 and x = 5 we have the same output, then we have a constant linear function that can be written as:

f(x) = 0*x - 4

f(x) = -4

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WILL GIVE BRAINLIEST, PLEASE HELP

Which of the following tables represents a relation that is a function?


x y
3 −2
3 −1
3 0
3 2
3 2

x y
−3 3
−1 3
0 3
0 −3
2 3

x y
−4 −3
−3 1
−2 −4
1 1
1 −2

x y
−2 0
−1 2
0 1
2 0
5 2

Answers

Table 2 is a many-one function and table 4 is also a many-one function.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

We know a relation is not a function if two distinct ordered pairs have the same first coordinate.

The first table is not function as preimage 3 has two images namely

0 and 2.

The second table is a function and it is a many-one function.

A many one functions is a function in which the same preimages have different images.

The third table is also not a function as preimage 3 has two distinct images.

The fourth table is also a many-one function.

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How many centimeters are equal to 1 inch?

Answers

Answer:

multiply the length value by 2.54

so the answer is 2.54

2.54 centimeters are equal to 1 inch. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same characteristic is stated in a different unit of measurement by using a unit conversion. If you want to represent time or distance, for example, you could use feet rather than hours to indicate the time or the distance, respectively. Measurements are frequently requested in a different set of units than those they are delivered in, such as chains, but are provided in a different set, such as feet.

We are given 1 inch which is to be converted into centimeters.

Since,

⇒1 inch = 0.0254 meters

So,

⇒1 inch = 2.54 centimeters

Hence, 2.54 centimeters are equal to 1 inch.

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Find the value of x.

A: 80 degrees

B: 40 degrees

C: 60 degrees

D: 140 degrees

Show work.

Answers

The answer for ur question is A

The weight of chocolate bars from a particular chocolate factory has a mean of 8 ounces with a standard deviation of 0. 1 ounces. What is the z-score corresponding to a weight of 8. 17 ounces? What percent of chocolate bars weigh less than 8. 17 ounces. Show and explain your work

Answers

95.54% of the chocolate bars at the factory weigh less than 8. 17 ounces

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

z score shows by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean = 8, standard deviation = 0.1

For x < 8.17 ounces:

z = (8.17 - 8) / 0.1 = 1.7

From the normal distribution table:

P(z < 1.7) = 0.9554 = 95.54%

The probability that the chocolate bars weigh less than 8. 17 ounces is 95.54%

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A banker who has done several deals with Todd McFarlane and the McFarlane company and knew that the company tends to be

Answers

The correct option for the question is option d) Experience with the target

In the given example, a banker has done several transactions with Todd and found them to be economically prudent. Based on his interactions with Tedd, the lender is likely to categorize Todd as reckless and artsy. He was in this position to stereotype Todd because of the several dealings he had with him. As a result, it is an example of prior experience with the objective. As a result, the proper option is (d) Experience with the target. All other selections are inappropriate and incorrect.

The complete question is:

A banker who has done several deals with Todd McFarlane and the McFarlane Company and knew that the company tends to be fiscally conservative would be less likely to stereotype Todd McFarlane as a risky, artistic type. Which perceiver characteristic best explains this outcome?

a) Gender and emotional status

b) Needs and goals

c) Direction of glaze

d) Experience with the target

e) Cognitive load

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find the general solution to the following differential equation y'' 2y' y = 8e^-t

Answers

The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by: y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t.

The general solution to the  differential equation y'' - 2y' + y = 8e^-t can be found using the method of characteristic equations.

The characteristic equation is obtained by substituting y = e^rt into the differential equation: r^2e^rt - 2re^rt + e^rt = 8e^-t

Expanding the left side:

r^2e^rt - 2re^rt + e^rt = 8e^-t

r^2e^rt - 2re^rt + (1-8)e^rt = 0

Solving for the characteristic equation:

(r-4)(r+2) = 0

The characteristic equation has two roots, r = 4 and r = -2. These roots correspond to the two linearly independent solutions of the differential equation:

y = c1e^(4t) + c2e^(-2t)

where c1 and c2 are arbitrary constants.

Therefore, The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by:

y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t

where c1 and c2 are arbitrary constants determined by initial conditions or boundary conditions.

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how many steps in 1 mile

Answers

Generally speaking you can count on 2,000 steps equaling one mile.

How many steps in 1 mile?

The average person takes between 2,000 and 2,500 walking steps per mile as counted by a fitness band, or phone motion sensor. Running steps have a longer stride length, which means you may take between 1,000 and 2,000 steps per mile.

A total of 10,000 steps equals 4 to 5 miles. The number of steps per mile varies from person to person and depends on your stride length. Knowing how many steps are typical for a mile, you can begin to envision how far you need to walk to log 10,000 steps per day.

It also works in reverse. The miles might not seem so long if you realize how many you manage to log during your daily activities. Keep moving and you will make it to your daily goal.

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use the distributive property to remove the parentheses 2(3 + x)

Answers

Answer:

6 + 2x

Step-by-step explanation:

Distributive property is multiplying a number outside a parenthesis to those inside the parenthesis, thus:

2(3 + x)

(2(3) + 2(x))

[6 + 2x]

imagine you had two histograms, one was very wide and spread out, the other was very narrow with a very tall peak. which histogram would you expect to contain more consistent numbers (numbers that are close to each other), explain why.

Answers

The histogram with the narrow peak would be expected to contain more consistent numbers.

This is because the width of a histogram reflects the variability of the data that it represents. A histogram with a wide spread indicates that the data values are spread out and vary greatly, while a histogram with a narrow peak indicates that the data values are relatively consistent and cluster close together.

In a histogram with a widespread, the difference between the highest and lowest data values is large, indicating that the values are inconsistent and vary widely. On the other hand, in a histogram with a narrow peak, the difference between the highest and lowest data values is small, indicating that the values are more consistent and cluster closely together.

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PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

x - 18 = 2
= 20 - 18 = 2
x = 20

Answer:

[tex] \sf \: x = 20[/tex]

Step-by-step explanation:

Given equation,

→ x - 18 = 2

Now the value of x will be,

→ x - 18 = 2

→ x = 2 + 18

→ [ x = 20 ]

Hence, the value of x is 20.

please help, im sleep deprived and mentally unstable. a 51 year old patient complains of a recent onset of tingling and weakness in the legs, stating that he occasionally loses feeling in his legs and has trouble breathing. he also struggles with bladder control

Answers

These drugs may help with urge incontinence and can soothe an overactive bladder. Tolterodine (Detrol), darifenacin (Enablex), fesoterodine (Toviaz), solifenacin (Vesicare), and trospium chloride are a few examples.

What is stress incontinence about?

When you cough, laugh, sneeze, run, or do heavy lifting, the strain (stress) on your bladder causes you to leak urine. This condition is known as stress incontinence. There is no connection between stress incontinence and emotional stress.

The most prominent symptom of stress incontinence is leaking pee while your bladder is under pressure. You may experience mild stress incontinence and leak pee while engaging in vigorous exercise, laughing, coughing, or sneezing.

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I'm sleep deprived and mentally unstable. a 51 year old patient complains of a recent onset of tingling and weakness in the legs, stating that he occasionally loses feeling in his legs and has trouble breathing. he also struggles with bladder control. What medication can be used?

Given that the point (-112, -15) is on the terminal side of an angle, θ, find the exact value of the following: sin(θ)= cos(θ)= tan(θ)= csc(θ)= sec(θ)= cot(θ)=

Answers

The value of the trigonometric functions given that the point (-112, -15) is on the terminal side of an angle, θ is sin(θ)= y/r = -15/ 113 cos(θ)= x/r = -112/ 113 tan(θ)= y/x = -15/ -112 csc(θ)= r/y = 113/ -15 sec(θ)= r/x = 113/ -112.

What is Pythagorean theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

The terminal points are given as follows:

x = -112 and y = -15

Using the Pythagorean theorem we have:

x^2 + y^2 = r^2

(-112)^2 + (-15)^2 = r^2

12544 + 225 = r^2

r = 113

Now, the trigonometric functions is given as:

sin(θ)= y/r = -15/ 113

cos(θ)= x/r = -112/ 113

tan(θ)= y/x = -15/ -112

csc(θ)= r/y = 113/ -15

sec(θ)= r/x = 113/ -112

cot(θ)= x/y = -112/ -15

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4. What is the total perimeter of this figure?
Show or explain your thinking.

Answers

Answer:

41.1 cm

Step-by-step explanation:

1) Find the perimeter of the visible rectangle...

4 + 4 + 4 + 4 = 16or 4 × 4 = 16

1) Find the perimeter of semicircles

We can put the semicircles together to make a whole circle so instead of finding the perimeter of both semicircles separately we can find the perimeter of a whole circle with radius 4.

Circumference of circle = 2πr2 × π × 4 = 25.1327412287We won't round up or down until the final step to get a more accurate answer!

3) Add the results

25.1327412287 + 16 = 41.132741228741.1!!!

Have a lovely day :)

Total Perimeter of the figure is 41.13274 cm

Given that,

Length of a side = 4 cm

Now,

There are two semi circles being formed in the figure. If we add both it will form a circle.

The perimeter of the circle = Circumference of the circle

Circumference = 2 π r                         ( r  = 4 cm i.e. a side)

                         = 2 π * 4

                         = 8 π cm

and the four sides of the figure that are left, form a square,

so, the perimeter of the square = 4 * side

                                                     = 4 * 4 = 16 cm

Total Perimeter = 8π +16

                          = 41.13274 cm

Therefore, Total Perimeter of the figure is 41.13274 cm

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A blue whale has a heart that pumps 220 liters of blood every 10 seconds.

a. How much blood does the heart pump in 15 seconds?

Answers

330 liters of blood in the heart pump in 15 seconds as per the given ratio.

What is the ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, A blue whale has a heart that pumps 220 liters of blood every 10 seconds.

Since a whale pumps 220 liters of blood every 10 seconds.

Whale pumps blood in 10 seconds = 220 liters

So,

Whale pumps blood in 1 seconds = 220/10 liters

Whale pumps blood in 1 second = 22 liters

Thus,

Whale pumps blood in 15 seconds = 22 * 15 liters

Whale pumps blood in 15 seconds = 330 liters

Therefore, 330 liters of blood in the heart pump in 15 seconds.

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Answer:e

Step-by-step explanation:e

.................................................

Answers

12 mygs will cost 27, and 5 flasks will cost 30

Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can

determine the amount she should pay by adding the total amount of the bill (b) to 18% of

b + 18% xb

Which expression shows another way that Dinah can calculate the total amount she will pay,

including tip? *

Answers

Dinah can calculate the total amount she will pay, including tip, by adding the bill amount to 18% of the bill amount. Mathematically, this can be represented as 1.18b.

As per the data given in the question,

Percentage tip was given to waiter= 18%.

Let the total amount spent on food = b

So, the amount given to the waiter will be: 18% of b

So, for finding the amount we will first remove the percentage sign, for removing the percentage sign we will divide the given number by 100.

Thus, the amount given to waiter will be

=(18/100)*b

= 18b/100

=0.18b

So, the total amount spent will be equal to b+0.18b = 1.18b

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Dijkstra: Strategy
Which algorithm design technique best describes Dijkstra's SSSP algorithm?
A) Exhaustive Search
B) Divide and Conquer
C) Greedy
D) Dynamic Programming
E) Randomized

Answers

The algorithm design technique best describes Dijkstra's SSSP algorithm is (c) Greedy.

Dijkstra's Single Source Shortest Path (SSSP) algorithm is considered a greedy algorithm because it makes locally optimal choices at each step in order to find the globally optimal solution. The algorithm starts from the source vertex and maintains a priority queue of vertices, where the priority of a vertex is determined by the length of the shortest path from the source to that vertex.

At each step, the algorithm chooses the vertex with the smallest priority, updates the distances of its neighbors, and adds them to the priority queue. This process continues until all vertices have been processed or a target vertex has been found. The algorithm always makes the choice that appears to be the best at the moment, with the goal of finding the shortest path from the source to all vertices.

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The Pythagorean theorem states that for any given right triangle, a2+b2=c2. Using Pythagorean theorem, what should be the relationship between the areas of three squares

Answers

The size of the square of c is equal to the sum of the squares of a and b.

What is Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem.

When we know the values of at least two sides of a right angle triangle, we can apply this theorem to compute the missing side.

Due to that

[tex]c^{2} =a^{2} +b^{2}[/tex]

This denotes a relationship where the area of a square with one side is equal to the sum of a square with two sides. In other words, the square of c has the same area as the sum of the squares of both a and b.

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The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.

Answer the questions to solve the equations and to compare the steps and solutions.

1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40? (1 point)

Circle the best answer.

Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2

2. What would your next step be? (1 point)

3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work. (1 point)

4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)

Circle the best answer.

Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides

5. What would your next step be? (2 points)

6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work. (2 points)

7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense. (2 points)

Answers

Answer:2(x +14) = 40 (use the distributive property)2x + 28 = 40 (solve exactly like you did for Fran)2x = 12x = 6

Step-by-step explanation:

A television is on sale for 15% off. The original price was $459. What is the sales price of the television?

Answers

Answer: $68 .85

Step-by-step explanation:

15/100 x 459/1

Simpify the 15/100 to 3/20

3/20 x 459/1

3 x 459 = 1377

1377/20 = $68 . 85

Hope that is correct

Lope harvested 163. 5 kilos of pomelos while marcon harvested 362. 75 kilos of pomelo from their farm who harvested more pomelos? by how much more​

Answers

Marcon harvested more pomelos than Lope, by 199.25 kilos.

To calculate this, we need to subtract the amount harvested by Lope from the amount harvested by Marcon.

First, we need to convert the amounts into the same unit of measure. Both amounts are in kilos, so no conversion is needed.

Next, we can subtract the amount harvested by Lope from the amount harvested by Marcon: 362.75 kilos - 163.5 kilos = 199.25 kilos.

This means that Marcon harvested 199.25 kilos more pomelos than Lope.

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what is the correct mathematical translation of the following sentence: ""w is the integral of f with respect to distance (x).""?

Answers

f's x-dependent integral is identical to w; f(x)dx = w

The integral of f with respect to x is equal to w, which is the mathematical translation of the statement "w is the integral of f with respect to distance (x)". This can be mathematically stated as f(x)dx = w, where f(x) is a function of x, dx represents an infinitesimal change in x, and is the integral symbol.

The area under a function's curve, or integral, can be thought of as the accumulation of infinitesimally tiny slices of the function. The integral of f with respect to x in this situation equals w. This indicates that when the function f(x) is integrated with respect to x, w is equal to the sum of all the infinitesimally small slices.

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4: the diameter of a red blood cell is 6 x 10-6 m. how many red blood cells are needed to make a line 1 inch long?

Answers

42 red blood cells are needed to make a line 1 inch long

The diameter of a red blood cell is 6 x [tex]10^{-6}[/tex] m,

so we need to determine how many cells can fit in a

line 1 inch long (2.54 x[tex]10^{-5}[/tex] m).

Dividing the length by the diameter gives the number of cells:

2.54 x [tex]10^{-5}[/tex] m / 6 x [tex]10^{-6}[/tex] m = 42.33.

So, approximately 42 red blood cells are needed to make a line 1 inch long.

This highlights the small size of red blood cells and the remarkable ability of the human body to produce and maintain billions of these cells for proper blood circulation and oxygen delivery.

Red blood cells, also known as erythrocytes, are one of the main types of blood cells. They are biconcave discs with a diameter of about 7.5 micrometers, and their primary function is to transport oxygen from the lungs to the tissues and carbon dioxide from the tissues to the lungs.

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nondisclosure of the treatment an experimental unit is receiving

Answers

Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.

Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.

Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.

"

Complete question

________ refers to nondisclosure of the treatment an experimental unit is receiving.

"

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An eagle is flying at an elevation
15
1515 meters above the ground. A gyrfalcon is flying at an elevation
23
2323 meters above the ground.

Answers

An eagle is flying at an elevation 15 meters above the ground. A gyrfalcon is flying at an elevation 23 meters above the ground.

Write an inequality that correctly compares the elevations

The eagle is flying at a lower elevation than the gyrfalcon, and the inequality for the elevation is

y - x > 8

How The answer was obtained

Let the eagle is flying at an elevation = x meter

and gyrfalcon is flying at an elevation = y meters

then difference in their elevations = (y-x) meters

The inequality which compares the elevations will be

y - x > 23 - 15

y - x > 8

If gyrfalcon is flying at 23 meters and eagle at 15 meters then the description which is correct.

The eagle is flying at a lower elevation than the gyrfalcon.

Falcons called gyrfalcons are enormous. Although their wings are pointed, they are neither as slender or as sharp as the wings of lesser falcons.

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Solve the following linear system by elimination

Answers

so hmmm let's notice the denominators in each, so hmmm the 1st equation has an LCD of 6, so let's multiply both sides by that, and the 2nd equation has an LCD of 12, so let's multiply it by that to do away with the denominators, oddly enough, it gives us an elimination of a variable, so let's do so

[tex]\begin{array}{llll} \cfrac{1}{2}x-\cfrac{2}{3}y=6 \\\\\\ \cfrac{1}{4}x+\cfrac{1}{3}y=-1 \end{array}\hspace{5em} \begin{array}{llll} 6\left( \cfrac{1}{2}x-\cfrac{2}{3}y=6 \right) \\\\\\ 12\left( \cfrac{1}{4}x+\cfrac{1}{3}y=-1 \right) \end{array}\hspace{5em} \begin{array}{llll} ~~ 3x-4y&=36 \\\\\\\\\\ -3x-4y&=12\\\cline{1-2} ~\hfill -8y&=48 \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]-8y=48\implies y=\cfrac{48}{-8}\implies y=-6 \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x-4y=36}\implies 3x-4(-6)=36\implies 3x+24=36 \\\\\\ 3x=12\implies x=\cfrac{12}{3}\implies x=4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} (4~~,~-6) \end{array}}~\hfill[/tex]

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