(6x^3+x^5+2x^2−7−4x)−(3x^2−5x+2+5x^5+3x^4)

Answers

Answer 1

Let's simplify step-by-step.6x3+x5+2x2−7−4x−(3x2−5x+2+5x5+3x4)
Distribute the Negative Sign:=6x3+x5+2x2−7−4x+−1(3x2−5x+2+5x5+3x4)=6x3+x5+2x2+−7+−4x+−1(3x2)+−1(−5x)+(−1)(2)+−1(5x5)+−1(3x4)=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4
Combine Like Terms:=6x3+x5+2x2+−7+−4x+−3x2+5x+−2+−5x5+−3x4=(x5+−5x5)+(−3x4)+(6x3)+(2x2+−3x2)+(−4x+5x)+(−7+−2)= −4x5+−3x4+6x3+−x2+x+−9
Answer:= −4x5−3x4+6x3−x2+x−9

Answer 2

Answer:

-6x^2+10x+7

Step-by-step explanation:

Related Questions

anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer

Answers

As you can see in the picture, the ladder leaning against the wall makes a right triangle with the sides being the wall, the ground and the ladder. The ladder is opposite the right angle and so is the hypotenuse (the longest side of the triangle). The angle between the ladder and the ground is labeled a.

We know the height of the ladder (10 feet) and also the height off the ground of the windowsill (8.5 feet). That second side is opposite the angle a. So, when we consider angle a we know the length of the side opposite and of the hypotenuse.

Recall the sin of an angle can be found by using (opposite/hypotenuse).

So we have: sin a = 8.5 / 10. That is, sin a = .85
We are looking for the angle whose sin is .85 and can find this using the inverse sin function.

[tex] sin^{-1}.85=a [/tex]
a is approximately 58.211669 degrees which is less than the 65 degrees and so safe.

Just to be on the safe side, I remind you that your calculator must be in degrees (not radians) to do this problem.

Determine whether the given triangles are similar. Justify your answer. If they are similar write a similarity statement. How do you do this?

Answers

Similar shapes may or may not have equal lengths

Triangles ABC and PRQ are similar by SSS

The corresponding sides on both triangles are:

AB = 8, and PQ = 6

AC = 12, and PR = 9

BC = 12, and QR = 9

Divide the corresponding sides, to determine the scale factor (k)

[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]

Evaluate the quotients

[tex]k = 0.75 = 0.75 = 0.75[/tex]

Given that the scale factors are equal.

Hence, both triangles are similar by SSS

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the equation of a quadratic function represented by the graph is y=a(x-3)^2-1. what is the value of a?

Answers

When attempting to find the value of a variable, our first step is to isolate the variable. In this case, the variable is a. To do this, we must divide each side by factors that do not contain the variable. After completing this step, we quickly note that x and y will be on the same side of the equal sign:

a = [tex] \frac{y}{(x-3)^2} [/tex] + [tex] \frac{1}{(x-3)^2} [/tex]

Mr.holms used 4/5 of a carton of orange juice.he used equal amounts of leftover juice for two servings what fraction of the whole carton of juice did he use for each serving

Answers

he used 8/5 of juice there you go

the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x+10y=110

1 find and interpret the y-intercept.
2find and interpret the x-intercept.
3how many grams of fiber does an orange contain?
4how many grams of fiber does an apple contain?
5is it possible for the package to contain 15 apples? explain.

Answers

The y intercept is the value of y when x = 0.

Similarly, the x intercept is the value of x when y = 0.

To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. (The image will show the process of finding each).

For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5.

However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.

The regular price of a smart phone is represented by x. When an upgraded phone is released, the new price is 25% more than the older model. The upgraded phone's price can be represented by which expression?

Answers

1.25x represents the price of the upgraded phone.

25% is represented by .25, this is added to 1 which represents 100% of the price of the regular price

Answer:

1.25x

Step-by-step explanation:

Which Value of t makes the following true -16+t<-32

Answers

T would equal anything lower than -17 (basically, -18, -19, -20, etc). This is because -16 + -17 = -33.

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?

Answers

Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold

Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25

1194 bleacher tickets were sold.

A total of 757 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

350 adult tickets were sold

Final answer:

To find the number of adult tickets sold, a system of equations is created based on the total tickets sold (757) and the fact that there were 57 more student tickets sold. Solving for x gives us 350 adult tickets.

Explanation:

How to Determine the Number of Adult Tickets Sold

To determine how many adult tickets were sold for the school play when there is a known total of 757 tickets and that 57 more student tickets were sold than adult tickets, we can set up a system of equations to solve for the number of adult and student tickets. Let's let x represent the number of adult tickets, and x + 57 represent the number of student tickets since there were 57 more student tickets sold than adult tickets.

Based on the total number of tickets sold, the following equation represents this relationship:

x (adult tickets) + x + 57 (student tickets) = 757

Combining the like terms gives us:

2x + 57 = 757

Subtracting 57 from both sides gives us:

2x = 700

Dividing both sides by 2 gives us:

x = 350

So, the number of adult tickets sold is 350.

how do you solve u/6 > (with an underline underlining it) 3
plz help
its due tomorrow

Answers

To find the answer of u, simplify:

u>=6 × 3
u>= 18

You are working as an apprentice for the bksb Newcastle Arena. When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage’s concert?

Answers

2x + 5x = 21000
7x = 21000
x = 21000/7
x = 3000

That means the money was split up

2 * 3000 = 6000
5 * 3000 = 15000

The arena got the 2 part of the ratio.
The arena got 6000 pounds. I don't have that L on my keyboard.

Final answer:

The arena therefore made £6,000 from Phillip Cage's concert.

Explanation:

To find the amount of money the arena made from Phillip Cage's concert:

Calculate the total parts in the ratio: 2 + 5 = 7 parts.Divide the total money by the total parts: £21,000 / 7 = £3,000 per part.Finally, multiply the arena's share of parts (2 parts) by the value of each part: £3,000 x 2 = £6,000.

a product cost 48.50 for 75 feet was is my cost per inch

Answers

75ft x 12in = 900in

$48.50 / 900 = ~ $0.05 per in

Which of these best describes an undefined term?
A. A term that is a building block for other definitions in geometry
B. A clause in a conditional statement that begins with "then"
C. A statement that has already been proven to be true
D. A statement that is the opposite of an original statement

Answers

the answer is A hope this helps

Answer:

A. A term that is a building block for other definitions in geometry.

Step-by-step explanation:

In Geometry, undefined terms refer to concepts like point, line and plane. Which are concepts that cannot be defined, they are too intuitive. Undefined terms are always true, they cannot be prove because those concepts are too primitive.

It's important to know that Geometry develops another complex defintions from these undefined terms, beacuse point, line and plane are the fundamentals of Geometry.

Therefore, the right answer is A.

Other choices are just wrong, because undefined terms aren't condition statments, they cannot be proven and they aren't oppsite of an original statement.

Which is a correct classification for the triangle?
A. Acute triangle
B. Obtuse triangle
C. Equiangular triangle
D. Right angle

Answers

The third angle is 180 - 53 - 27 = 100o
That angle is greater than 90o

The triangle is obtuse
B<<<<===== answer

What is the volume of this square pyramid?

384 cm³
288 cm³
192 cm³
96 cm³

Answers

The required volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,

The formula for the volume of a square pyramid is:

[tex]$V = \frac{1}{3}Bh$[/tex]

Where B is the base area and h is the pyramid's height.

In this case, the base is a square with a side length of 12 cm, so its area is:

[tex]B = 12^2 = 144cm$^2$[/tex]

The height of the pyramid is 8 cm.

Plugging these values into the formula, we get:

[tex]V = \frac{1}{3}(144)(8) = 384$ cm$^3[/tex]

Therefore, the volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

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a 6lb watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelon?

Answers

the answer should be 1.68

to the nearest tenth of an inch how long is the foit of a person who wears a size 10 1/2

Answers

Your answer would be 10.5. To figure out how to round 10 1/2 to the nearest tenth of an inch, first realize that 1/2 = 0.5 and that's already rounded to the nearest tenth. and 10 is a whole number so we wouldn't change that. 10 + 0.5 = 10.5.

Hope this helps,
♥A.W.E.S.W.A.N.♥

Using a standard shoe size chart, the foot length for a size 10 1/2 shoe is approximately 11.1 inches when rounded to the nearest tenth of an inch.

To determine the length of the foot for a person who wears a size 10 1/2 shoe to the nearest tenth of an inch, we reference a standard shoe size chart. Shoe sizes are an approximation of the foot length they are intended to fit, with different increments representing each half-size increase. For a size 10 shoe, the approximate length is given as around 10.9 to 11 inches. Considering half sizes add approximately 1/6 of an inch, a size 10 1/2 would be approximately 11.1 inches long when measured accurately. However, shoe size to foot length can vary slightly by manufacturer, so this is a general estimate.

Please Help!!!!!!!! Only Circled Questions!!!!!!!!!!! Show all Steps

Answers

Hello!

I'll solve the first two questions for you and show you how to do them step by step!

4.

We must use a certain formula to find the volume of a cylinder. The formula is:

V = pi * r^2 * h

We already have that information!

Pi = approximately 3.14

Radius = 7.5 in

Height = 3.6 in

Substitute:

(Make sure ro solve it step by step, rather than do it all at once)

V = 3.14 * 7.5^2 * 3.6

V = 176.625 × 3.6

V = 635.85

Rounded to the nearest cubic unit, the volume of this cylinder is 636 inches cubed.

**Don't forget to write a small 3 above inches to indicate that it is cubed!

5.

Aha! This time they haven't given you the radius, but the diameter.

Since the radius is half of the diameter, we must divide the diameter by 2 to find it.

r = d ÷ 2

r = 28 ÷ 2

r = 14 cm

Like the previous question, we have enough information to solve this! We'll use the same formula to calculate the volume of this cylinder.

V = pi * r^2 * h

Pi = Approximately 3.14

Radius = 14 cm

Height = 5 cm

Substitute:

V = 3.14 * 14^2 * 5

V = 615.44 * 5

V = 3,077.2 cm cubed

Rounded to the nearest cubic unit, the volume of this cylinder would be 3,077 centimetres cubed.

REMINDERS:

Use the SAME formula for all of the other questions regarding volume of a cylinder. The formula fof volume is:

V = pi * r^2 * h

Make sure you write the small 3 above it!

Please find the function rule and explain how you got it so it helps me understand better. I am SO bad with function rules. ;-;

Answers

The function rule for x is +1. When you want to get the next number in the set, you add one to the previous number. For example, -1 + 1 = 0.

The function rule for y is - 5. When you want to get the next number in the set, you subtract five to the previous number. For example, 9 - 5 = 4.

Hope this helps!

Make a general statement about information is revealed by an unfactored polynomial compared to a factored polynomial

Answers

Sketch a graph ofeach function. For graphs b through e, identify the information revealed by the unfactored polynomial compared to the factored polynomial.

A factored polynomial will reveal the solutions of the function because of the fact that you can set the different factors equal to 0.

An unfactored polynomial will not allow you to find the solutions, however it is easier to differentiate in case you wanted to find the turning points.

For your answer though, i recommend you just write about how a factored polynomial will reveal the solutions. (By the way, solutions are where the equation crosses the x-axis.)

Best of luck!

while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?

Answers

Write a system of equation based on the problem
⇒ Erika bought 6 postcards
E = 6
⇒ Erika bought twice as many postcards as Nathan bought
E = 2N
2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
S = 4N

Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
N = 6/2
N = 3
Nathan bought 3 postcards

Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards

The number of postcards Samantha bought is 12.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Erika bought 6 postcards

Let the number of postcards Erika bought is given by x

Erika bought twice as many postcards as Nathan bought

Let the number of postcards Nathan bought is given by y

x = 2y

Samantha bought 4 times as many postcards as Nathan

Let the number of postcards Samantha bought is given by z

z = 4y

The value of x = 6, so

6 = 2y

y = 3

z = 4y

z = 12

Postcards bought by Samantha is 12.

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A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?

Answers

dilated by a factor of 7 is 196 in²

Area of square if the square is s inches long is 4 in²
s² = a
s² = 4

When a square is dilated by a factor of 7, the length of side is also dilated by the factor of 7. For an instance, s₁ represents the dilated side. The equation will be
s₁ = 7s

Find the new area, the new area is represented by a₁
a₁ = s₁²
Because s₁ is equal to 7s, substitute s₁ with 7s
a₁ = (7s)²
a₁ = 7² s²
a₁ = 49s²
The value of s² is 4, substitute s² with 4
a₁ = 49(4)
a₁ = 196
The new area is 196 in²

A certain recipe calls for 2 1/3 cups of sugar, how much sugar is needed to make 1/3 of the recipe?

Answers

Suger needed
2 1/3 x 1/3
=7/9 cups

2 1/3 / 3/1

2 1/3 = 7/3

7/3 / 3/1
7/3 x 1/3

7 x 1 = 7
3 x 3 = 9

7/9

The answer is 7/9 cups

6.The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle?

Answers

A. 21 + 12 = 33

B. 12 + 21 = 33

C. 21 + 21 = 33

D. 1 + 2 = 33

If it is multiple choice. Like more than one. Then it's A and B. If it's not. Then It's A. I hope I helped you. I don't think I was any help.

A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters.

Answers

51 height plus to Expedia’s ik

Answer:65

Step-by-step explanation:

60 + 5 is 65

Angles 1 and 5 are____

A.) alternate exterior
B.) alternate interior
C.) supplementary
D.) right

Answers

Angles 1 and 5 are supplementary because they are on the same line which means they equal 180°.

Hope this helps :)

Answer: Angles 1 and 5 are supplementary.

Step-by-step explanation:

id did this and ...

Simplify the expression

Answers

To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.

The following circle graph represents how the Townsends spend their monthly income. What is the central angle measure of the section that represents "Savings"?

18°
36°
5°
9°

Answers

The circle graph represents how the Townsends spend their monthly income.

Total central angle of the circle is 360°

Townsend saves 5% of the monthly budget.

Therefore, the central angle measure of the section that represents "Savings" is 5% of the total central angle

= 5% of 360°

= 18°

The central angle measure of the section that represents "Savings" is 18°

Hope this helps ..!!

Thank you :)

Answer:

18˚

Step-by-step explanation:

The total amout is 360˚ and this small ooprtion is 18˚.

What is the difference from 6z to z6

Answers

There is no difference.

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?

Answers

Final answer:

To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.

Explanation:

To find the number of boys, we can use the proportion:

3/8 = x/160

We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.

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A biologist studied the populations of common guppies and Endler's guppies over a 6-year period. the biologist modeled the populations, in tens of thousands, with the following polynomials where x is time, in years.common guppies: 3.1x^2+6x+0.3Endler's guppies: 4.2x^2-5.2x+1what polynomial models the total number of common and Endler's guppies Match the vocabulary word with its meaning. 1. domesticate to tame wild plants or animals 2. agrarian a word that is used to describe settled communities or societies 3. society a word that is used to describe societies that are built around agriculture 4. culture all the knowledge and values shared by society 5. sedentary a group of people with common practices, activities, and interests In what ways can it be argued that the formation of the european union resulted from the world wars 1 and 2 The construction of the Aswan High Dam was beneficial to the people of Egypt, and it caused no negative effects. true or false