After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______

Answers

Answer 1

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be  13  

The solution is  13m^2 + 6mn^2 - 5nm^2  

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

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

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2


Related Questions

What is the value of 12 (2b-4) when b=16

Answers

Answer:

this is the answer

Step-by-step explanation:

[tex]12(2(16) - 4) =336 [/tex]

336

Step-by-step explanation:

12(2×16-4) =12(32-4)=12×28=336

HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?

Answers

Answer:

11

Step-by-step explanation:

-4/9 divided by 2/3 what would the answer be?

Answers

Answer:

-4/9*3/2

-4*3/9*2

-12/18

-2/3

Answer:

-2/3

Step-by-step explanation:

-4/9 divided by 2/3

you turn divided into multiplied and flip the second number

-4/9*3/2

you can cross multiply.

once you have simplified you should have

-2/3*1/1

simplified further to

-2/3*1

so,

-2/3 is the answer :)

sadie bought 9 cans of peaches for ,$12 at the rate how much would she pay for 21 cans of peaches​

Answers

$27.93

You want to know how much she payed for 1 can. So you divide $12 by 9 cans. For one can, she paid $1.33. Now multiply that by 21 cans.
1.33•21=27.93

For 21 cans she has to pay $28.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

cost of 9 cans = $12

cost of 1 can= 12/ 9

                    = 4/3

Now, cost of 21 cans = 21* 4/3

                                   = 7*4

                                   = $28

Hence, for 21 can she has to pay $28.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

PLEASE
Solve for x and y by graphing the system of linear equations.
y=-7/2x+3
y=-3/2x-1

Answers

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

hope its right

Eighteen less than 9 times a number is the same as 14 more than the number.
Comply the equation

Answers

Answer:

x=4

Step-by-step explanation:

9x-18 = x+14

9×-× = 14+18

8× = 32

X = 4

I need help with 2 questions plzzzzz

1. The two lines represented by the equations below are graphed on a coordinate plane. Which statement best describes the two lines? x + 6y = 12 and 3(x -2) =-y-4 *

The lines are parallel.
The lines are the same line.
The lines are perpendicular.
The lines intersect at an angle other than 90°.

2. Triangle Proof: Which type of triangle can be drawn using the points (-2, 3), (=2, -7), and (4, -5)? Use the distance formula to find the length of each side. *

Scalene
Isosceles
Equilateral
No triangle can be drawn

Answers

Answer:

Step-by-step explanation:

1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2

3(x - 2) = - y - 4 ⇔ y = - 3x + 2

There is not significant relation between slopes such as:

- "the same" for parallel or the same lines;

- "opposite reciprocals" for perpendicular lines;

Thus, there is only answer option left: "The lines intersect at an angle other than 90°."

2). A(- 2, 3), B(- 2, - 7), C(4, - 5)

AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10

AB = 10

BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10

Triangle is Isosceles.

The points (3,-2) and (2,1) are both solutions to which inequality

Answers

Slope form —> y=3x+7
Standard form —> 3x+y=-7

What is 48 square feet in square meters

Answers

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

A certain bacteria multiply exponentially at a rate of 8% per day. If 2 bacteria exist initially, how many
will be present after 25 days?

Answers

Answer:

After 25 days will be present about 13.70 ≅ 13 bacteria

Step-by-step explanation:

The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where

a is the initial valuer is the rate in decimal

∵ A certain bacteria multiply exponentially at a rate of 8% per day

→ Assume that y is the number of bacteria, x is the number of days

r = 8% = [tex]\frac{8}{100}[/tex] = 0.08

∵ 2 bacteria exist initially

a = 2

→ Substitute them in the form of the equation above

∵ y = 2 [tex](1+0.08)^{x}[/tex]

y = 2 [tex](1.08)^{x}[/tex]

x = 25

→ Substitute x in the equation by 25

∴ y = 2 [tex](1.08)^{25}[/tex]

y = 13.69695

After 25 days will be present about 13.70 bacteria

Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.

I’m pretty sure I know the answer but I just wanna check myself, thanks :)

Answers

Y is positive 3 hope that helps!

3x = 8
3x + y = 15

???

Answers

3x=8

Solve for x by dividing by 3 on both sides

x=8/3

Now plug 8/3 in for x in second equation

3(8/3)+y=15

This gives you

8+y=15

Subtract by 8 on both sides to find y

y=8

Now write it in ordered pair form (x,y)

So your answer is (8/3,8)

Please help meeeeeeee

Answers

Answer:its not loaxibf

Step-by-step explanation:

Identify the slope of the line graphed below.
m =

Answers

the slope is 0 bc its horizontal

For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to

Answers

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

         

Answer:

wrong

Step-by-step explanation:

Which of the following is a polynomial with roots 5, -6, and 7? (2 points)

Answers

The answer would be C

Answer:

the answer is C

Step-by-step explanation:

Write an expression that represents the number of videos Charli will have in w weeks.

Answers

Ummmmmmmmmmmmmmmmmmm

10 lbs to 6 lbs need percentage
please give step by step

Answers

Answer:

10ibs=1000%   6ibs=600%

Step-by-step explanation:

It’s very easy just use the internet

I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4​

Answers

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

Guysss I need y’all help . Can yalll please help meee ASAP !!!!

Answers

Answer: the answer is b

Step-by-step explanation:

Answer: B.63

Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.

Can you please help me solve for the area

Answers

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

[tex]5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12[/tex]

the, the area of the left triangle is

[tex]A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30[/tex]

the area of the right triangle is

[tex]A_2=\frac{2*12}{2} \\A_2=12[/tex]

and the area of the rectangle in the middle is

[tex]A_3=(13)(12)\\A_3=156[/tex]

Por tanto, el area total sera

[tex]A=A_1+A_2+A_3\\A=30+12+156\\A=198[/tex]

a shoe store was sells 2 pairs of shoe for $25.10.how much it would cost to buy 7 pairs of shoes?

Answers

Answer: 87.85 dollars to buy 7 pairs

Use the function Y=2x^2+3x+7 to answer the following questions

Answers

Answer:

What are the questions?

Amelia rented a dvd and it was due to be returned on 26 november
she actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?
Anyone help please!!!!!

Answers

Answer:

Step-by-step explanation:

I'm not familiar with the conversions from American dollars. I can help you solve it though.

Count how many days from Nov 26 to Dec 26 and multiply that by 9p.

It's 30 days by 9p. Take that total and convert it.

Hopefully this helps you.

Ali has a collection of 177 snap-together building blocks. Ali has one fourth as many red blocks as blue blocks, half as many white blocks as black blocks, an equal number of black and blue blocks, and 34 miscellaneous blocks of other colors. How many red blocks does Ali have?
Help me plz!

Answers

Answer:

The number of red blocks Ali has is 13 red balls

Step-by-step explanation:

The given parameters are;

The number of snap-together building blocks Ali has = 177

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has

The number of white  blocks Ali has = 1/2 × The number of black blocks Ali has

The number of black blocks Ali has = The number of blue blocks he has

The number of miscellaneous blocks Ali has = 34

Let x represent the number of blue blocks Ali has, therefore, we have;

The number of red blocks Ali has = 1/4 × x

The number of black blocks Ali has = The number of blue blocks = x

x = 1/2 × The number of white blocks Ali has

∴ The number of white blocks Ali has = 2·x

The number of known colored blocks Ali has = 177 - 34 = 143

Therefore, we have;

x + 1/4·x + x + 1/2·x = 143

11/4·x = 143

x = 143 × 4/11 = 52

Therefore, the number of blue blocks Ali has = x = 52 blue balls

The number of red blocks Ali has = 1/4 × The number of blue blocks Ali has = 1/4 × 52 = 13

The number of red blocks Ali has = 13 red balls.

OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?

I REALLY NEED HELP PLS!

:3

Answers

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

I’m not sure of that but it might be 6.8

Charmaine runs 4 miles in 30 minutes. At the same rate how many minutes would she take to run 10 minutes

Answers

Answer:

It will take her 75 minutes To run 10 miles.

Step-by-step explanation:

I believe to run 10 miles (not minutes)

30/4= 7.5 minute per mile

7.5*10= 75 minutes

Answer:

10x0.133=1.33 so approximately 1.3 miles

Step-by-step explanation:

Charmaine runs 0.133 miles per minute

What are the roots of the equation 3x^2-4x+4=0?

Answers

Answer:

[tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define

3x² - 4x + 4 = 0

a = 3

b = -4

c = 4

Step 2: Find roots

Substitute:                    [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Simplify:                        [tex]x=\frac{4\pm\sqrt{(-4)^2-4(3)(4)} }{2(3)}[/tex]Evaluate:                       [tex]x=\frac{4\pm\sqrt{16-4(3)(4)} }{2(3)}[/tex]Multiply:                        [tex]x=\frac{4\pm\sqrt{16-48} }{6}[/tex]Subtract:                       [tex]x=\frac{4\pm\sqrt{-32} }{6}[/tex]Factor:                          [tex]x=\frac{4\pm\sqrt{-1} \sqrt{32} }{6}[/tex]Simplify:                       [tex]x=\frac{4\pm4i\sqrt{2} }{6}[/tex]Factor:                          [tex]x=\frac{4(1\pm i\sqrt{2} )}{6}[/tex]Simplify:                       [tex]x=\frac{2(1\pm i\sqrt{2} )}{3}[/tex]

If a line has a rise of 2 and a run of 2, what is its slope

Answers

Answer:

It's a positive slope it's not going down it's going up every time you go up to you go over to making it a positive slope

Step-by-step explanation:

what is first the statement or proportion

Answers

Answer: the first statement is a ratio or fractions that are equale

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