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Burka [1]
3 years ago
14

Use the grouping method to factor the polynomial below completely. 3x3 + 6x2 + 5x + 10

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

( 3x² + 5 ) ( x + 2 )

Step-by-step explanation:

3x³ + 6x² + 5x + 10

→ Factor 3x³ + 6x² by taking out the LCM of the number

3x² ( x + 2 )

→ Factor 5x + 10 by taking out the LCM of the number

5 ( x + 2 )

→ Combine the 2 brackets together

( 3x² + 5 ) ( x + 2 )

→ Expand to check its the right answer, if you get 3x³ + 6x² + 5x + 10 then it is correct

( 3x² + 5 ) ( x + 2 ) = 3x³ + 6x² + 5x + 10

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Find x when y = 3 in the literal equation 3x + 6y= 24.<br> A. 3<br> B. 18<br> C. 6<br> D. 2
alekssr [168]

Answer: It is D

Step-by-step explanation:

3 0
3 years ago
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At best buy they have a 42" TV that sells for $1250 and is on sale 15% and sales tax is 6%.What is the final cost?
Marat540 [252]
Ok so
sale is 15% off
and add 6% tax

100-15=85
100+6=106

therefor
1250 with 15% discount plus 6% tax means
1250 times 85% times 106% =
1250 times 0.85 times 1.06=1126.25
final cost=$1126.25
4 0
3 years ago
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write how much has passed. 10:45 am to 11:15 am. 2:15 pm to 2:30 pm 6:15 am to 6:45 am 3:30 pm to 4:30 pm 9:15 am to 10:00 am
liq [111]

Answer:

1. 30 minutes

2. 15 minutes

3. 30 minutes

4. 60 minutes/ 1 hour

5. 45 minutes

Step-by-step explanation:

1.  60 - 45 = 15

15+15 = 30

2. 30 - 15 = 15

3. 45 - 15 = 30

4. 60 - 30 = 30

30 + 30 = 60

5. 60 - 15 = 45

3 0
3 years ago
How many solutions does 4(3x+2)=4(2x+3) +4x have?
Diano4ka-milaya [45]

Final Answer: No Solution. 4(3x + 2) = 4(2x + 3) + 4x has 0 solutions.

Steps/Reasons/Explanations:

Hey there! 8 = 12 would have No Solution because 8 doesn't equal 12. An example of 1 solution is 12 = 12.

Question: How many solutions does 4(3x + 2) = 4(2x + 3) + 4x have?

<u>Step 1</u>: Expand.

12x + 8 = 8x + 12 + 4x

<u>Step 2</u>: Simplify 8x + 12 + 4x to 12x + 12.

12x + 8 = 12x + 12

<u>Step 3</u>: Subtract 12x on both sides.

8 = 12

<u>Step 4</u>: Because 8 = 12 is false, there is no solution.

No Solution

~I hope I helped you :)~

4 0
3 years ago
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Write an equation for the line parallel to the given line that contains <br> C(4,8);y=-3x+4
Brrunno [24]
Parallel line means they have the same slope 
y = mx + b 
where m = slope 
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b 
b = 8 + 12
b = 20

The answer is y = -3x + 20
6 0
3 years ago
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