3c-2d=2
3c+4d=30
Solve each system of equations by using elimination

Answers

Answer 1
Answer: 3c - 2d = 2  / × ( - 1 ) ;
You obtain -3c + 2d = - 2 ;
           But, +3c + 4d = 30 ;
                 _______________(+)
                     /       6d = 28 ;
                             d = 28 / 6 = 14 / 3 ;
Finally, 3c - 2 * ( 14 /3 ) = 2 ;
             3c - 28 / 3 = 2 ;
             9c / 3 - 28 / 3 = 6 / 3 ;
             9c - 28 = 6 ;
             9c = 6 + 28 ;
             9c = 34 ;
             c = 34 / 9 ; 

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Which of the following represents "the difference between a number and eight is twenty-two"?8 - N = 22
N - 8 = 22
8 - 22N

Answers

Both of the first 8 - N = 22 N - 8 = 22 Represent the difference between a number and 8 is 22 as it is not mentioned that either 8 or the unknown number N is greater so both of the first two represent the difference between a number and 8 is twenty two.

Answer:

The Answer is N - 8 = 22

this is because the question ask the difference of a number and eight is twenty-two, which means a number (N) comes first before the difference ( - ) is  eight (8) is (=) twenty two (22) following this order gives the answer above in bold.

Step-by-step explanation:


Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2

Answers

Answer:

  • commutative property of addition
  • distributive property

Step-by-step explanation:

6ab²+4a²b-3ab²+3a²b-2a²b²

= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)

= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)

= 7a²b+3ab²-2a²b²

_____

We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.

Which statement best explains why the graphed relation is not a function? A) There are infinitely many points on the graph.
B) The domain of the graph does not include all real numbers.
C) There are points on the graph with the same x-coordinate but different y-coordinates.
D) The graphed relation is not a line.

Answers

Answer:

c

Step-by-step explanation:

Because you can't have multiple x-values. You can only have multiple y-values.

Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 7
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16

Answers

Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).

Evaluate all options in order to check that the polynomials are prime or not:

1). 15x^2  +10x -9x+7

5x(3x + 2) - (9x - 7)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). 20x^2-12x+30x-18

4x(5x - 3)+6(5x-3)

(4x + 6)(5x - 3)

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x^3+14x^2-12x-28

2x^2(3x+7)-4(3x+7)

(2x^2-4)(3x+7)

So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x^3+20x^2+3x+12

4x^2(2x+5)+(3x+20)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x^4+4x^2-6x^2-16

x^2(11x^2+4)-2(3x^2+8)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

For more information, refer to the link given below:

brainly.com/question/20121808

Answer:

The prime polynomials are 1, 4 and 5

Step-by-step explanation:

Given some polynomials we have to classify the polynomials prime or not.

Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.

15x^2 + 10x - 9x + 7

5(3x+2)-(9x-7)

can't be factored into lower degree polynomial ∴ prime polynomial.

20x^2 - 12x + 30x - 18

4x(5x-3)+6(5x-3)

(4x+6)(5x-3)

hence, not a prime polynomial.

6x^3 + 14x^2 - 12x - 28

2x^2(3x+7)-4(3x+7)

(2x^2-4)(3x+7)

hence, not a prime polynomial.

8x^3 + 20x^2 + 3x + 12

4x^2(2x+5)+(3x+20)

can't be factored into lower degree polynomial ∴ prime polynomial.

11x^4 + 4x^2 - 6x^2 - 16

x^2(11x^2+4)-2(3x^2+8)

can't be factored into lower degree polynomial ∴ prime polynomial.

The prime polynomials are 1, 4 and 5

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

Answers

Hello,

when x->+infinity , y-->+infinity
when x->-infinity, y->+infinity

The end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is  x -> +∞, y-->+∞ and x -> -∞, y->+∞

How to determine the end behavior?

The equation of the function is given as:

f(x) = 3x⁶ + 30x⁵ + 75x⁴

Next, we plot the graph of the function

From the attached graph, we have the following highlights:

  • As x increase, y increases
  • As x decreases, y increases

Hence,  the end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is  x -> +∞, y-->+∞ and x -> -∞, y->+∞

Read more about end behaviors at:

brainly.com/question/1365136

#SPJ5

Multiplies to -0.72 and adds to 0.6

Answers

Multiplies to -0.72 =  - 0.6 * (1.2).

Adds to 0.6  =   

-0.6 + (1.2) = 1.2 - 0.6 = 0.6.

Hence the two numbers are -0.6 and 1.2.