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zubka84 [21]
3 years ago
9

Simplify the expressions. Show your work.

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0
7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36


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Answer:

B

Step-by-step explanation:

I would think be because it's the only one that crosses the rest don't

3 0
3 years ago
Solve the following systems of 3-variable linear equations.​<br><br><br><br>50 points
Natali [406]

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

7 0
3 years ago
Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. She took out a car l
neonofarm [45]

The amount of extra interest that will be paid is $24300

Since Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%, the interest that she will pay will be:

= ($45000 × 6 × 15) / 100

= $40500

On the other hand, if she hasn't applied for bankruptcy, the amount that she will pay will be:

= ($45000 × 6 × 6) / 100

= $16200

Therefore, the difference between the interest will be:

= $40500 - $16200

= $24300

The correct option is $24300. The given options are incorrect.

Read related link on:

brainly.com/question/25052422

8 0
2 years ago
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What is the slope of the line?
spin [16.1K]

Answer: 2

Step-by-step explanation:

The slope of a line is \frac{rise}{run} (rise over run)

This means for every point you must go up/down to get your next point you divide it by every point you go right/left.

From one point to the next it goes up 2 (rise) and right 1 (run)

\frac{2}{1} = 2 so that is your slope

8 0
2 years ago
-9 + k/10 = -10<br>I need to answer​
Firdavs [7]

Answer:

k = -10

Step-by-step explanation:

-9 + k/10 = -10

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-9 + -1 = -10

k = -10

3 0
3 years ago
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