Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Answer:
Option C is the Correct Answer
Answer:
x/-9 = -16 ; 144
Step-by-step explanation:
x is the variable for "a number". It is being divided by -9, so x must be divided by -9. The number divided by -9 equals -16, so -16 must go on the other side of the equation. To solve, multiply both sides by -9 to cancel out the fraction and isolate the variable.
Answer:
Missing co-ordinate for the ordered pair is 
Y-intercept is 
X-intercept is 
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation
where 
is the number of stores and 
represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution 
For the ordered pair, we are given the value which is =7 i.e 7 years after 1990. Thus we will plugin 
in the linear equation to get the value which is number of stores after 7 years from 1990.
Thus the ordered pair is
To find y-intercept which is the point where the line touches the y-axis, we would plugin 
in the equation as the x-coordinate is 0 at y-axis.
Thus y-intercept is at point
To find x-intercept which is the point where the line touches the x-axis, we would plugin 
in the equation as the y-coordinate is 0 at x-axis and thus for
Subtracting both sides by 4682.
Dividing both sides by -264
∴ 
Thus x-intercept is at point
