Simplify (6z-4y+2x)+(3z-5x+2y)

Answers

Answer 1

Answer:

9z-2y-3x

Step-by-step explanation:

(6z-4y+2x)+(3z-5x+2y)

Combine like terms

6z+3z-4y+2y+2x-5x

9z-2y-3x

Answer 2

Answer:

-3x - 2y + 9z

Step-by-step explanation:

Since you are adding two polynomials, the parentheses are unnecessary, so you can just drop them. Then combine like terms. Like terms are terms that have the same variable part such as 6z and 3z.

(6z - 4y + 2x) + (3z - 5x + 2y) =             Original problem.

= 6z - 4y + 2x + 3z - 5x + 2y                 Drop unnecessary parentheses.

= 2x - 5x - 4y + 2y + 6z + 3z                 Rearrange terms to group like terms.

= -3x - 2y + 9z                                        Combine each set of like terms.

Answer: -3x - 2y + 9z


Related Questions

Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%

Answers

Answer:

can't understand the language

factorize : ( p- q ) cube​

Answers

Answer:

[tex]( {p - q}^{3} ) \\ = {p}^{2} - 3 {p}^{2} q + 3p {q}^{2} - {q}^{3} [/tex]

Hope my answer helped u :)

what is the area of the triangle ://

Answers

Answer:

The area of a triangle is:

Area = 1/2(bh)

Area = 1/2(70)

Area = 35 square inches

Let me know  if this helps!

Answer:

A = 35

Step-by-step explanation:

a^2 + b^2 = c^2

10^2 + b^2 = 12^2

100 + b^2 = 144

144 - 100 = b^2

b^2 = 44

b = 6.6

6.6 x 10 = 66/2 = 33

7 - 6.6 = 0.4

10 x 0.4 = 4/2 = 2

Area = 33 + 2

Area = 35

on the same graph draw line 2y-x=10 and y=3x​

Answers

Answer:

Step-by-step explanation:

How many times greater is
3.8 x 105
than
1.9 X 1022
2
20
200
2000

Answers

Step-by-step explanation:

there must be something wrong with your text.

what we can see is

3.8 × 105

and

1.9 × 1022

the true answer for these values has nothing to do with the 4 answer options.

maybe you meant

1.9 × 10.5 ?

because that answer would be 20.

but first working with the presented numbers :

3.8 × 105 = 399

1.9 × 1022 = 1941.8

so, the second number is actually much bigger than the first number.

but if it is

1.9 × 10.5 = 19.95

that works.

and we can either use the calculator to calculate

399 / 19.95 = 20

or we can simply look at the factor changes of the multiplication terms.

3.8 = 1.9 × 2

105 = 10.5 × 10

so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.

6x/x+6
Find all real numbers for which the rational expression is undefined.

Answers

Answer:

x=-6

Step-by-step explanation:

For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.

The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.

To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.

In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:

x + 6 = 0

Solving for x, we subtract 6 from both sides:

x = -6

Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.

When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.

For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.

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9 hundred thousands = how many
ten thousands

Answers

Answer:

90 is the answer:)

Step-by-step explanation:

I hope it helps you. Have a marvellous day!

Answer:

90 is the answer

Step-by-step explanation:

Write seventy-one and one hundred sixty-four thousandths as a decimal number.

Answers

Answer:

0.0071164

Step-by-step explanation:

“Seventy-one and one hundred sixty-four thousandths”
71.164

43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the margin of sampling error for a 95% confidence interval?

A. 9.7%
B. 5.4%
C. 43%
D. 19.4%

Answers

Answer:

A. 9.7%

Step-by-step explanation:

margin of error:

z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]

n is sample size

z is the z score (for a 95% confidence interval you would use 1.96)

p is the sample proportion

to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.

in this case we are given 43% so 0.43.

in the formula :

1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]

if you calculate this you get around 0.09703 this is 9.7%

Margin of error is 9.7% (A)

ρ = 43% which is equal to 0.430

[tex]1 - P = 1 - 0.430 = 0.570[/tex]

The number of sample n = 100

We have to calculate Z at 95% confidence interval

∝ = [tex]1 - 95%[/tex]%

∝ = [tex]1 - 0.95[/tex]

∝ = [tex]0.05[/tex]

∝/2 = 0.025

Z(∝/2) = Z(0.025) = 1.96

Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]

Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]

Standard error = [tex]\sqrt{(0.002451)}[/tex]

Standard error = 0.04950758

Standard error = 0.0495

Margin of error = Z*SE. z = 1.96 and standard error = 0.0495

Margin of error = [tex]1.96x0.0496[/tex]

Margin of error = [tex]0.097216[/tex]

Margin of error = [tex]9.7216%[/tex]%

In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.

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State the additional congruency statement t(s) needed to prove triangle ABC cong triangle FGH for the given theorem A.SAS Theorem B.ASA theorem

Answers

Answer:

part a:

AC=HF (Given)

angle BAC= angle GFH (Given)

ans: BA=GF

part b:

Angle BAC= angle GFH (Given)

AC=HF (Given)

ans: Angle BCA = Angle GHF

Or

AngleABC = Angle FGH

Last month a factory produced 800 television sets. This month the same factory produced 1064 television sets. What percent did production increase?

Answers

Answer:

33%

Step-by-step explanation:

Increase is equal to (1064-800)

=264

So the percent = (264/800)×100

=33%

The factory's output went up by around 33% from last month to this month, reflecting a significant growth in television set production.

To calculate the percentage increase in production, we use the concept of percentage change.

The formula for percentage change is = [(new value - old value) / old value] × 100,

In this case, the old value is 800 (last month's production) and the new value is 1064 (this month's production).

The percentage increase in production can be calculated as follows:

[(1064 - 800) / 800] × 100 = (264 / 800) × 100 ≈ 33%.

Therefore, the production increased by approximately 33%.

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How many x intercepts does the graph of y=2x^2+4x-2have

Answers

Answer:

2

Step-by-step explanation:

x intercepts are at y=0

therefore

0= 2x^2+4x-2

Simplify by 2

0=x^2+2x-1

the determinant

D= 2^2 - 4 (1)(-2) = 4 + 8 = 12 > 0

therefore the graph has two intercepts

what is the probability that the 2 cards you will draw will be blackjacks?

Answers

Answer:

Need more explation of the question

Step-by-step explanation:

A gift box shown below is packed with small cubic 1/2 inch blocks. The blocks are packed tightly with no spaces between them.
A. How many blocks are in the gift box?
B. What is the volume of the gift box?
C. Find how much wrapping paper will be needed to wrap the gift box (hint: find surface area).

Answers

Step-by-step explanation:

the box is

9 in × 3.5 in × 4.5 in = 141.75 in³

each block is

0.5 in × 0.5 in × 0.5 in = 0.125 in³ (1/8 in³)

so, we can fit

141.75 / 0.125 = 1134

blocks into the box.

and they fit neatly, as the dimensions of the box and the cubes allow a tight packing without any empty left over space in the box.

Melissa, Brian, and shen have a total of $85 in their wallets. Brian has 3 times what Shen has. Shen has $10 less than Melissa. How much do they have in their wallets?

Answers

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

By Using 0,2,4,5,6 Write The Smallest And Greatest Number Of 5 digit​

Answers

Answer:

Smallest number:20456

Greatest number:65420

730 million, 5
how to write it in digits

Answers

Answer:

730 million in numbers = 730,000,000

730M in short form.

A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs. If four eggs are selected at random, without replacement, what is the probability that all four are brown?

Answers

Answer:

The probability will 4.32%.

The probability that all four are brown is 35/8,64,501.

Given that, A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs.

What is the probability without replacement?

Probability without replacement means once we draw an item, then we do not replace it back to the sample space before drawing a second item. In other words, an item cannot be drawn more than once.

If four eggs are selected at random, without replacement, the probability that all four are brown is 7/69 × 6/68 × 5/67 × 4/66

= 7/69 × 3/34 × 5/67 × 2/33

=7/23 × 1/17 × 5/67 × 1/33

=35/8,64,501

Therefore, the probability that all four are brown is 35/8,64,501.

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Which condition must exist in order for conduction to occur between two substances? The molecules of the substances must be touching. Both substances must be the same temperature. At least one substance must be a liquid. Most of the molecules must be slow moving.

Answers

Answer:

The molecules of the substances must be touching

FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.

Answer:

The molecules of the substances must be touching.

A

Step-by-step explanation:

What is the perimeter of the triangle?
units

Answers

Answer:

Does the answer help you?

What is the sum of the interior angles of a regular polygon with 5 sides?

A. 1260
B. 180
C. 360
D. 540

Answers

Answer:

540 is the ans

Step-by-step explanation:

this is the correct answer

180

Step-by-step explanation:

the measure of interior angles of polygon =180×(n-2)

ZA and ZB are vertical angles. If m A = (5x + 2)° and mZB = (6x – 12),
then find the value of x.

Answers

Answer:

x = 14

Step-by-step explanation:

Vertical angles are equal

5x+2 = 6x-12

Subtract 5x from each side

5x+2-5x = 6x-12-5x

2 = x-12

Add 12 to each side

2+12 = x-12+12

14 =x

A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-person round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The hall can have a maximum of 35 tables, and the hall has only 15 rectangular tables available. How many of each type of table should be rented to minimize cost and what is the minimum cost?

Answers

Answer:

940

Step-by-step explanation:

so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.

That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.

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Find mABC.
A. 102°
B. 54°
C. 14°
D. 78°

Answers

By the supplementary angles theorem, we know that both of the angles add up to equal 180°, so:

(4x + 22) + (8x - 10) = 180

12x + 12 = 180

12x = 168

x = 14

Now you just have to plug in x into the value for ∠ABC:

∠ABC = 4x + 22

∠ABC = 4(14) + 22

∠ABC = 46 + 22

∠ABC = 68°

Answer:

D = 78

Step-by-step explanation:

The two angles form a straight line so they add to 180

4x+22 + 8x-10 = 180

Combine like terms

12x +12 =180

Subtract 12 from each side

12x+12-12 = 180-12

12x = 168

Divide by 12

12x/12 =168/12

x=14

We want to find ABC

4x+22 = 4*14+22 = 56+22 = 78

Help needed!!!
Find the length of the segment indicated.
A. 12.1
B. 16.4
C. 13.3
D. 11.4

Answers

Answer:

A

Step-by-step explanation:

using the theorem of Pythagoras

x = sqrt* 19.6 ^2 - 15.4^2*

x = 7× sqrt* 3*

x = 12.1 units

Answer:

A.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)

Answers

Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

1/5 divided (-5/7) Can someone please help with this equation and show work

Answers

Answer:

-7/25

Step-by-step explanation:

1/5 ÷ -5/7

Copy dot flip

1/5 * -7/5

-7/25

You buy 7 bags of chips and 3 package of cookies for $17. Your best friend buys 3 bags of chips and 1 package of cookies for $7 how much does each bag of chips cost

Answers

Answer:

bag of chips = 2

cookies=1

Step-by-step explanation:

b = bags of chip cost

c = cookie cost

7b+3c = 17

3b +1c = 7

Multiply the second equation by -3

-9b -3c = -21

Add this to the first equation

7b+3c = 17

-9b -3c = -21

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

-2b    = -4

Divide by -2

-2b/-2 = -4/-2

b = 2

Now find c

3b +1c = 7

3(2)+c = 7

6+c =7

c = 7-6

c=1

What's the equation of the line that passes through the points (–1,5) and (1,–1)?

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

Use rise over run to find the slope of the line:

change in y / change in x:

-6 / 2

= -3

Plug in the slope and a given point into y = mx + b, and solve for b:

y = mx + b

5 = -3(-1) + b

5 = 3 + b

2 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -3x + 2

So, the equation of the line is y = -3x + 2

In a mixture 60 liters, the ratio of milk and water 2:1.If this ratio is to be 1:2, then what is the quantity of water to be further added?​

Answers

Answer:

Hello,

60L

Step-by-step explanation:

Quantity of water /Quantity of milk =2/1

Quantity of mixture= Quantity of water +Quantity of milk =60L

Quantity of milk =40 L

Quantity of water =20 L

Let say x the quantity of water to be added

New ratio =1/2=40/(20+x)

20+x=80 (cross products)

x=60 (L)

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