MATHEMATICS HIGH SCHOOL

Expand and simplify: 1.(n-2)(3n+7)+2n(2n+3)

factor each expression fully:
2. 4xsquared-25

Answers

Answer 1
Answer: 1.\n(n-2)(3n+7)+2n(2n+3)\n\n=n\cdot3n+n\cdot7-2\cdot3n-2\cdot7+2n\cdot2n+2n\cdot3\n\n=3n^2+7n-6n-14+4n^2+6n\n\n=7n^2+7n-14

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2.\n4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)
Answer 2
Answer: 1.(n-2)(3n+7)+2n(2n+3)
We'll start with (n-2)(3n+7)
Use the FOIL method to simplify: First, Outside, Inside, Last. 
Multiply the first numbers of each bracket (n and 3n), the outside numbers (n and 7), the inside numbers (-2 and 3n) and the last numbers (-2 and 7)
F=  3n×n= 3n²
O= n×7= 7n
I= -2×3n= -6n
L= -2×7= -14
Add them together, you get 3n² + n -14.
The second part is 2n(2n+3)
Multiply both numbers inside the bracket by 2n
2n×2n= 4n²
3×2n= 6n
Add these terms with the previous ones
7n² + 7n -14
Because they all have a common factor of 7, we can represent the equation as 
7(n² + n -2)

2. 4x²-25
To factor this, we convert it into two expressions that we multiply together (like converting -9 into 3×-3)
2x × 2x= 4x²
5 × -5= -25
The answer is (2x+5)(2x-5)

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Express 0.77230.77230, point, 7723 as a fraction

Answers

Answer:

7723/10000

Step-by-step explanation:

20 pointsA large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.

Answers

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

A survey found that 3 out of 100 people have red hair.On the basis of this survey, how many people in a group of 12,000 people are likely to have red hair?

A.4000

B.360

C.36

D.3

Answers

B is the answer because you cross multiple the two fractions.
(3)/(100) (x)/(12000)
3 *12,000=36,000
36,000/100=360

Answer:

THE ANSWER IS 360

please deal with it lol :)

good luck on the test

Is (2,4) a solution of 3x - y = 2?

Answers

yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.

Answer: Yes, it is a solution.

Step-by-step explanation:

3(2)=6-4=2

Please choose the answer that describes the scientific notation for 5,098,000.a. 5.098 108
b. 5.098 75777
c. 5.098 106
d. 5.098 107

Answers

Scientific notation is the representation of a number in a power of ten, with a sequence of digits placing the comma after the first digit, and the power or then that is mathematically consistent with the number. For example 400 is 4.00 * 10^2; 3100 is 3.100 * 10^4; 13421 = 1.3421 * 10 ^4. It is important that you have only one digit before the comma. So, 5,098,00 is 5.098 * 1,000,00 = 5.098 * 10^6. The answer is the option c. 5.098 * 10^6.

Graph the inequality -3|6-x|<-15 for x .graph the solution on a line

Answers

Hello,

-3|6-x|<-15
==>|6-x|>5
1) if 6-x<0 then |6-x|=-6+x
==>-6+x>5==>x>11

2) if 6-x>0 then |6-x|=6-x
==>6-x>5==>6-5>x==>x<1

Solution is x<1 or x>11

---- -1 ------- 0  1 ----------- 11 ------------------------------
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