MATHEMATICS HIGH SCHOOL

Which of the following is equivalent to 6x 2 + x - 12 ?A. (2x + 3)(3x - 4)
B. (2x - 3)(3x - 4)
C. (2x + 3)(3x + 4)
D. (6x + 3)(x - 12)
E. (x + 3)(2x - 12)
Please show me step by step how to solve this problem
Thanks

Answers

Answer 1
Answer: 6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\n\n=(2x-3)(3x+4)\n\nother\ method:\n\n6x^2+x-12\na=6;\ b=1;\ c=-12\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(289)=17

x_1=(-1-17)/(2\cdot6)=(-18)/(12)=-(3)/(2);\ x_2=(-1+17)/(2\cdot6)=(16)/(12)=(4)/(3)\n\n6x^2+x-12=6(x+(3)/(2))(x-(4)/(3))=2\cdot3(x+(3)/(2))(x-(4)/(3))\n\n=2(x+(3)/(2))\cdot3(x-(4)/(3))=(2x+3)(3x-4)

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125 invitations to 75 invitation

Answers

Answer:

The complete question is

Find the percent of change. Round to the nearest tenth if necessary.

25 points to 50 points .

Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:

(50)/(25) * 100=2 * 100 = 200\%

So, the percentage of change is 100%, because the change is 25, that was the increase.

125 invitations to 75 invitations .

(75)/(125) * 100 = 60\%

Which means 75 invitations represents 60% of the old number of invitations.

So, the percentage of change is 40%, because that's the percentage of the difference.

32 pages to 28 pages .

You can do another process, first find the difference:

32-28=4

Then, you divide:

(4)/(32) * 100= 12.5 \%

So, the percentage of change is 12.5%.

7 players to 10 players.

10-7=3\n(3)/(7) * 100=0.43 = 43\%

So, the percentage of change is around 43%.

What number can 13 and 7 go into?

Answers

You're looking for the number 13 and 7 can go into.

You can use the listing method.
13: 13, 26, 39... and so on, and so on.
7: 7, 14, 21, 28, 35, 42, 49.... and so on.


An easier way to do it is to simply multiply 13 by 7.

13*7= 91


13 and 7 can go into 91, evenly. 

Hope this helped!

Whats 4 multipled by 3m

Answers

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Simplify the expression and tell if the answer is a rational or irrationalnumber.
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O 12; rational number
O 12, irrational number
O 144; rational number
144; irrational number
O 72; rational number
72; irrational number

Answers

Answer:

The expression √144 simplifies to 12.

So, the answer is 12, which is a rational number

Step-by-step explanation:

because it can be expressed as a fraction of two integers (12/1).

What is the order of the numbers from least to greatest

Answers

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.

Answer:

-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3  

Step-by-step explanation:

hope this helps! have a great day!

Write an equation of proportionality: Sue traveled 1200 miles in 4 hours. *

Answers

Answer:

1200 ÷ 4 = 300

Step-by-step explanation:
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