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3 years ago

Simplify the expressions by combining like terms

Mathematics

2 answers:

Vesnalui [34]3 years ago

6 0

Hey!

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Question #1:

= 6n^2 - 2n - 3 + 5n^2 - 9n - 6

= 6n^2 + (-2n) + (-3) + 5n^2 + (-9n) + (-6)

= (6n^2 + 5n^2) + (-2n + -9n) + (-3 + -6)

= (11n^2) + (-11n) + (-9)

Answer: 11n² + (-11n) + (-9)

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Question #2:

= 8c^2 - c + 3 + 2c^2 - c + 2

= 8c^2 + (-c) + 3 + 2c^2 + (-c) + 2

= (8c^2 + 2c^2) + (-c + -c) + (3 + 2)

= (10c^2) + (-2c) + (5)

Answer: 10c² + (-2c) + 5

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Hope This Helped! Good Luck!

LiRa [457]3 years ago

3 0

Answer:

1. 11n^2-11n-9

2. 10c^2-2c+5

Step-by-step explanation:

1. 6n^2+5n^2 = 11n^2

-2n-9n = -11n

-3-6=-9

2. 8c^2+2c^2 = 10c^2

-c-c= -2c

3+2=5

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Answer:

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3 years ago

Labor economists have extensively researched the determinants of earnings. Invest-ment in human capital, measured in years of ed

never [62]

Answer:

Kindly check explanation for other solutions

Years, Inning and saves are statistically significant ; ERA is not.

Step-by-step explanation:

Earning for staying one additional year :

Multiply slope value of years * 1 = 0.052 * 1 * 100 % = 5.2% (earning increases by 5.2%)

Relives with 10 more saves :

10 * 0.0032 * 100% = 3.2% (earning increases by 3.2%)

Having 100 more innings :

100 * 0.00089 * 100% = 8.9%

If ERA is reduced by 1.5 ; earning will increase by (0.0085*100)% * 1.5 = 1.275%

B.) At 5% level of confidence :

α = 1.64

Years = 0.052/0.026=2

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Saves = 0.0032/0.0018 = 1.78

ERA = 0.0085/0.0168 = 0.51

Years, Inning and saves are statistically significant as they are greater than α ; As for ERA, it is not statistically significant (0.51 < 1.64)

8 0

2 years ago

WHat is the best method for this system?

aksik [14]

Answer:

Elimination method

Step-by-step explanation:

We have a choice to eliminate the y or x:

I chose x

So now we double the second equation to make the co efficient of x the same:

6x-5y = -3

6x+4y = 24

Now we subtract both equations to eliminate the x's:

6x-5y = -3
- - -

6x+4y = 24

-9y = -27

y = 3

Now we substitute this value into either equation 1 or 2:
I chose 2

3x + 2(3) =12

Simplify:

3x + 6 =12

Subtract 6 from both sides:

3x + 6 -6 = 12 -6

Simplify:

3x = 6

Divide both sides by 3:

3x÷3 = 6÷3

Simplify:

x = 2

5 0

2 years ago

Read 2 more answers

7m-7-6m-16=1+4m please help

Mrrafil [7]

Make sure you put similar numbers (those with "m" and those without in this case) on one side and the others on the other side (also when you change, change the signs for each one moved to the opposite)

7m -4m - 6m = 7+1+16

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-3m/ -3 = 24/-3 (what you do to one side, you do to the other)

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7 0

3 years ago

Read 2 more answers

The drawing shown contains the intersection of two lines.

Phantasy [73]

Answer:

$\Huge \boxed{x=5}$

$\Huge \boxed{121\°}$

Step-by-step explanation:

∠1 and ∠2 are vertical angles.

∠1 = ∠2

Part A:

Create an equation and solve for x.

20x + 21 = 30x - 29

Add 29 and -20x on both sides.

20x + 21 + 29 - 20x = 30x - 29 + 29 - 20x

Simplify the equation.

50 = 10x

Divide both sides by 10.

$\frac{50}{10}$ = $\frac{10x}{10}$

Simplify the equation.

5 = x

Switch sides.

x = 5

Part B:

Let x = 5

20(5) + 21

Distribute.

100 + 21

Add.

= 121

Since both angles are vertical angles, they are equal.

∠1 = 121°

∠2 = 121°

3 0

3 years ago