Which of the following lies on the line y =- 3x + 2?(A) (-1, 8)
(B) (0, 4)
(C) (2, -4)
(D) (5, - 10)

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:

I can't say for sure, but I am confident that is the right answer.


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A^3+a+a^2+1 2a^2+2ab+ab^2+b^3------------------------------- * ----------------------------------
a^3+a^2+ab^2+b^2 a^3+a+a^2b+b

Answers

(a^3+a+a^2+1)/(a^3+a^2+ab^2+b^2) \cdot (2a^2+2ab+ab^2+b^3)/(a^3+a+a^2b+b) =(a(a^2+1)+1(a^2+1))/(a^2(a+1)+b^2(a+1)) \cdot (2a(a+b)+b^2(a+b))/(a(a^2+1)+b(a^2+1)) =\n\n=((a^2+1)(a+1))/((a+1)(a^2+b^2)) \cdot ((a+b)(2a+b^2))/((a^2+1)(a+b)) = (2a+b^2)/(a^2+b^2)

after 1 second, the rock is 243 feet in the air; after 2 seconds, it is 452 feet inthe air. find the height, in feet, of the rock after 5 seconds in the air?

Answers

1 second is 243
2 second is 452 
3 second is 661
4 second is 870
5 second is 1,079
It goes up 209 feet per second
5 Second is 1,079 ft in the air.

Simplify, 5(2x + 3y) - 4(3x - 5y)

Answers

5(2x + 3y) - 4(3x - 5y)

5(2x) + 5(3y) - 4(3x) + 4(5y)

(10x + 15y) + (-12x + 20y)

(10x - 12x) + (15y + 20y)

-2x + 35y

Answer:

-2x+35y

Step-by-step explanation:

5\left(2x+3y\right)-4\left(3x-5y\right)

Expand:-

\hookrightarrow	10x+15y-4\left(3x-5y\right)

\hookrightarrow	10x+15y-12x+20y

Combine 10x and -12x = -2x

\hookrightarrow	-2x+15y+20y

Combine 15y and 20y = 35y

\hookrightarrow	-2x+35y

______________________

Which equation has solution x = -3?A) 2x -7 = -1
B) 3x+ 8 =1
C)1/2x+8=10
D)1/2(2x-6)=-6

Answers

A)2x -7 = -1 
2x=-1+7
2x=8
x=4

B)3x+ 8 =1
3x=1+8
3x=9
x=3

C) 1/2x+8=10
1/2x=10-8
1/2x=2
x=1

D)
(1)/(2) (2x-6)=-6 \n \n (2x)/(2) - (6)/(2)=-6 \n \n (2x)/(2) - (6)/(2)=-12 \n \n 2x-6=-12 \n \n 2x=-12+6 \n \n 2x=-6 \n \n \boxed{x=-3}


The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is

Answers

we know that

The LCD is the LCM (least common multiple) of all the denominators.

we have

1/3, 3/4, 5/32, 8/9

3=3^(1) \n 4=2^(2) \n 32=2^(5) \n 9=3^(2)

LCM=2^(5) *3^(2) \n LCM=32*9\n LCM=288

So

The LCM of 3, 4, 32, 9 is 288 ,

which is the multiple of the highest power of prime factors from all of the given numbers

therefore

the answer is

288

The LCD for the fractions (1)/(3), (3)/(4), (5)/(32) and (8)/(9) is \boxed{288}.

Further explanation:

The LCD (least common denominator) is least common multiples of denominators.

The least common multiple is defined as the smallest number that divides all the given numbers.

Prime factorization is defined as the factors of the given number are only prime number.

Prime number is defined as a numbers that has only two factors one and itself.

Given:

The given numbers are (1)/(3), (3)/(4), (5)/(32) and (8)/(9).

Explanation:

First we have to find the prime factors of the denominators of all the numbers.

The prime factors of 3 can be expressed as,

3 = {3^1}

The prime factors of 4 can be expressed as,

4 = {2^2}

The prime factors of 32 can be expressed as,

32 = {2^5}

The prime factors of 9 can be expressed as,

9 = {3^2}

The least common factors are {2^5} and {3^2}.

The least common denominator can be calculated as,

\begin{aligned}\text{LCD} &= {2^5} * {3^2} \n   &= 32 * 9\n&= 288\n \end{aligned}

The LCD for the fractions (1)/(3), (3)/(4), (5)/(32) and (8)/(9) is \boxed{288}.

Learn more:

1. Learn more about addition of two numbers brainly.com/question/894273

2. Learn more about multiplication brainly.com/question/4892332

Answer details:

Grade: Junior School

Subject: Mathematics

Chapter: Number system

Keywords: prime numbers, Least common denominator, LCD, Least common multiple, LCM, divide, prime factors, factorization, Prime factorization, factors, fraction, (1)/(3), (3)/(4), (5)/(32), (8)/(9).

Which of the binomials below is a factor of this expression? 100A2 - 49B2

Answers

The answer is D. 10A +7B on apex.