Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
The greatest common factor of the three numbers is 4
Answer:
1. 7
2. 48
Step-by-step explanation:
you have to <u>subtract</u> 49-42 because some got taken away then you should end up with 7, 63-15 is 48.
Answer:
Linear Equation: y=-44000x+88922000
Year 2009: $526000
By year 2021, they have no more fund
Step-by-step explanation:
Slope formula is difference of y/difference of x. 79000-70200/2003-2005=
-88000/2=-44000.
To find the y intercept, x=0.
It should be year 0. 44000x2003=88132000+790000=88922000
Now put it into y=mx+b
y=-44000x+88922000
Plug in 2009.
It should equal 526000.
Answer: Her total savings are equal to $11,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.
Mathematically speaking:
x (20/100) = 2,200
Solving for x:
x = 2,200/ 0.2
x = $11,000
Her total savings are equal to $11,000.
Feel free to ask for more if needed or if you did not understand something.
