A. 3*4=12 & 5*5=25. nope
b. 12*2=24& 9*5=45. not at one
c. 3*3=9 & 12*2=24. nope
d. 9*2=18 & 3*13=39. Nada
non of them are prime numbers
Answer:
Option C
Step-by-step explanation:
System of equations have been given as,
y - 4x = 16
y = 4x + 16 ------(1)
By comparing with slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, m₁ = 4
2y = 8x + 16
y = 4x + 8 -------(2)
Slope of the line m₂ = 4
m₁ = m₂
Therefore, both the lines are parallel and both will not intersect each other.
Hence, there will be no solution of the system of equations.
Option C will be the correct option.
Answer:
y = 2/7x - 1
Step-by-step explanation:
You are trying to put it in the form y = mx + b where m is the slope and b is the y-intercept.
To start, find the slope by doing change in y (between the two points) divided by change in x (between the two points). This would be:
3 - (-3) (change in y) / 14 - (-7) (change in x)
= 6/21
= 2/7
So the slope is 2/7.
Then, you have the equation y = 2/7x + b.
Since you know the point (14, 3) works, you know x = 14 and y = 3 is a solution to the equation. You can plug in those values which would be:
3 = 2/7 * 14 + b
3 = 4 + b
-1 = b
So that means the equation is y = 2/7x - 1
Given:
Dividend = ![2x^3-5x^2+x+2](https://tex.z-dn.net/?f=2x%5E3-5x%5E2%2Bx%2B2)
Divisor = ![x-2](https://tex.z-dn.net/?f=x-2)
To find:
The quotient and remainder.
Solution:
We have,
Dividend = ![2x^3-5x^2+x+2](https://tex.z-dn.net/?f=2x%5E3-5x%5E2%2Bx%2B2)
Divisor = ![x-2](https://tex.z-dn.net/?f=x-2)
Divide
by
as shown in the below picture.
Dividing
by
, we get
![Quotient=2x^2-x-1](https://tex.z-dn.net/?f=Quotient%3D2x%5E2-x-1)
![Remainder=0](https://tex.z-dn.net/?f=Remainder%3D0)
Therefore,
and
.
The three ordered pair for the solution is
(0,5), (1,3), (2,1)