Synthetic Substitution


(x+y)(x^2-xy+y^2)

Answers

Answer 1

Answer:

x^3 - y^3

Step-by-step explanation:


Related Questions

if 5-3(2a+1)=-4a+10, what is the value of a+2​

Answers

Answer:

-2

BRAINLIEST, PLEASE!

Step-by-step explanation:

5 - 3(2a + 1) = -4a + 10

5 - 6a - 3 = -4a + 10

2 - 6a = -4a + 10

-2a = 8

a = -4

-4 + 2 = -2

Answer:

a+2 = -4+2 = -2

Step-by-step explanation:

5-3(2a+1)=-4a+10

Distribute

5 - 6a -3 = -4a +10

Combine like terms

-6a +2 = -4a +10

Add 6a to each side

-6a+2 +6a = -4a+6a +10

2 = 2a+10

Subtract 10 from each side

2-10 =2a+10-10

-8 = 2a

Divide by 2

-8/2 =2a/2

-4=a

What is the relationship between the 6s in 675,002 and 385,621?

Answers

Answer:

6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.

The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day​

Answers

Answer:

45000rupees

Step-by-step explanation:

cost of 1 litre of petrol=60rupees

cost of 750 litres of petrol=750×60rupees

=45000rupees

What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2

Answers

E is the answer to this question

2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times

Answers

Answer:

5/12

Step-by-step explanation:

Probability of drawing green ball on the first time=6/9=2/3

Probability of drawing green ball on the second time=5/8

Probability of having a green ball drawn

both times=(2/3)*(5/8)=10/24=5/12

Which of the following expressions is equivalent to the expression below?please help me ​

Answers

Answer: 14x+6

Step-by-step explanation:

by using distribution from the ”2” outside the parenthesis, you simply do

2x7= 14 (add the variable x) so 14x

then you do 2x3= 6

58 round of to the nearest 10​

Answers

Answer:

58 to the nearest ten is = 60

Answer:

Here is your answer ⤵️

58 rounded to the nearest tens is 60.

Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.

Answers

Step-by-step explanation:

your answer

mark me a brainlist

Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.

Answers

Answer:

[tex]y=\frac{1}{3} x+6[/tex]

Step-by-step explanation:

[tex](3,7)(-6,4)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-7}{-6-3}[/tex]

[tex]m=\frac{-3}{-9}[/tex]

[tex]m=\frac{3}{9}[/tex]

[tex]m=\frac{1}{3}[/tex]

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

[tex]y=\frac{1}{3} x+b[/tex]

Find the y-intercept (b) by using a point and substituting their x and y values

[tex]y=\frac{1}{3} x+b[/tex]

Point: (3, 7)

[tex]7=\frac{1}{3} (3)+b[/tex]

[tex]7=1+b[/tex]

[tex]b=7-1[/tex]

[tex]b=6[/tex]

Step 3. Write the equation in Slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3} x+6[/tex]

When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of ______ employees

Answers

Answer: 675

Step-by-step explanation:

Since the starting amount of employees is 500 we can say that 100%=500.

Adding 35% more employees means that we're adding 35% to the existing 100%, which means we need to find 135% of 500.

To solve we must multiply 135% by 500. 135% as a decimal is 1.35, so we multiply 1.35(500)=675.

Therefore, they now have a total of 675 employees.

6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.​

Answers

Answer:

60:20

100:?x

60×x=100×20

=33.333 %

The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?

Answers

Answer:

41

Step-by-step explanation:

i think i dont know that much

PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.

x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5

If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5

Answers

The answer is 4! So c

Using function concepts, it is found that the degree of the function is: 4, option C.

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

The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.

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

When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.

A similar problem is given at https://brainly.com/question/10539060

Find (f o g)(x)
Consider f(x) = x + 7 and g(x) = x2 –1

Answers

Answer:  x^2 + 6

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

Find the value of x.​

Answers

Answer:

x=60

Step-by-step explanation:

x=180-120

Please help!
Find the value of x for which ABCD must be a parallelogram.

Answers

Answer:

x=5

Step-by-step explanation:

5x-8=2x+7

5x-2x=7+8

3x=15

X=15/3

x=5

Answer:

5

Step-by-step explanation:

cause

angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7

5x-2x=7+8

3x=15

or x=5

Rewrite the expression in the form b^n b^10÷b^6=

Answers

Answer:

[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]

I hope I helped you^_^

A boat’s sail is a right triangle the the length of one side of the sail is 7 feet more than the other side the hypotenuse is 13 feet find the lengths of the sides of the sail

Please give the code :/

Answers

Step-by-step explanation:

1. m = (9-3)/(2-1) = 6/1 = 6 => B

2. m = (-7-5)/(2+1) = -12/3 = -4 => G

3. the horizontal line passes (0,4) => m = 0 =>I

4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A

Answer this question please

Answers

9514 1404 393

Answer:

  A.  500 cm²

Step-by-step explanation:

The height of the piece of cardboard is the same as the height of the prism: 20 cm.

The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.

The area of the cardboard is the product of its height and width.

  A = HW

  A = (20 cm)(25 cm) = 500 cm²

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

Answers

Answer:

9

Step-by-step explanation:

[tex](-1)^{2} + 2^{3} -0^{4}[/tex]

[tex] = 1 + 8 - 0[/tex]

= 9 (Ans)

round 6.7 to the nearest whole number.

Answers

Answer:

7

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Maria has four hours of free time each day. She can spend it studying or working at the Wang's Chinese

Kitchen for $6.50 per hour. Curve A illustrates the trade-off between school grades and the wages Maria

could eam.

What are the maximum wages Maria could eam if she works five days a week?

b. What grades can she expect if she works 10 hours each week?

What advice would you give Maria if she were eaming $50 each week and making Ds?

a

c.

Answers

Opportunity cost is the cost of the alternative forgone;

The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa

The correct values are as follows:

a. The maximum wages Maria could earn is $130

b. The grades she can expect if she works 10 hours each week is grade C

c. She should make a decision to either quit school or quit her job

d. To become a pharmacists, she should study more and quit her job

To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the

The reason for the above responses are as follows:

The known parameters are:

The number of hours of free time Maria has each day = 4 hours

The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen

The amount she can earn per hour working = $6.50 per hour

Question a. Required;

The maximum wages Maria could earn working 5 days a week

Solution;

Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days

if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130

b. Required:

The grade she can expect by working 10 hours a week

Solution:

The number of hours available each week = 5 × 4 hours = 20 hours

If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time

The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C

c. Required:

The advice for Maria if she is earning $50 each week and is making Ds

Solution:

If Maria is earning $50 each week, the number of days she is working = One day

The number of days she spends reading = 4 days

In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C

Therefore;

Maria has to make a decision to either quit school or quit her job

d. Part of the question that can be included as seen from a similar question online is as follows;

The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager

If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job

If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;

Learn more about the production possibility curve here:

here;https://brainly.com/question/15520789

Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal

Answers

Answer:

C (circumference) = 2 pi R for circle

A (arc length) = R * theta = pi R = pi * 9 = 28.27

Multiply -7/-6 x 7 x 1/3 write in simplest form

Answers

Step-by-step explanation:

Multiply -7/-6 x 7 x 1/3 write in simplest form

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Answers

Answer:

Step-by-step explanation:

M=189

N = 48

A = M*N

A = 189 * 48

A = 9072

Given the form of the equation 3x + 2y = 3 and x – 3y = -10. Then determine the result of 3x - y !​

Answers

Answer:

-6

Explanation:

x= -1 and y=3

3x- y

=> 3(-1)-3 = -3-3= -6

Answer:

3x – y = -6

Step-by-step explanation:

To solve on the problem above, you can do it by substitution and elimination of the two equations.

3x + 2y = 3

➡️ 3x + 2.3 = 3

➡️ 3x + 6 = 3

➡️ 3x = -3

➡️ x = -1

➡️ 3x – y = 3(-1) – 3

➡️ = -3 – 3 = -6

Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Answers

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+8[/tex]

I hope this helps!

hi can someone help me with this problem!!

Answers

Answer:

f(x) | 5 | - 1 | - 3 | - 1 | 5 |

Step-by-step explanation:

So first you'll say "-2" into function

Replace x with negative 2

f(x) =2(-2) ^2 - 3

8 - 3 = 5

Secondly place "- 1" into function

Replace x with negative 1

f(x) = 2(-1)^2 - 3

2 - 3 = - 1

Thirdly place "0" into function

Replace x with 0

f(x) = 2(0)^2-3

0 - 3 = - 3

Then place "1" into function

Replace x with 1

f(x) = 2(1)^2 - 3

2 - 3 = - 1

Lastly place "2" into function

Replace x with 2

f(x) = 2(2)^2 - 3

8 - 3 = 5

{ hope this helps}

Which statement compares the two numbers correctly?

0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do

Answers

Answer:

the statements are missing can you post them please

Answer:

C. 0.799 < 0.8

Step-by-step explanation:

0.799 ________ 0.8

Choices:

0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799

Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.

We know 799 < 800, so apply the same here to get:

0.799 < 0.8

Correct choice is C

Please help and please give explanation

Answers

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

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