algebra unit 8 lesson 1 assessment question 4
2y β 3x = 9
4y + 3x = 12
A.
coincident
B.
not enough information
C.
inconsistent
D.
consistent and independent
Answer: D. consistent and independent
Step-by-step explanation:
The given system is
When we compare the coefficients of the corresponding variables of both the equations we get,
For y,
For x,
And ,
β The system in independent.
Therefore the system has one unique solution.
Since, if a system has a unique solution then the system is consistent .
Therefore, the system is consistent and independent.
Answer:
B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).
Step-by-step explanation:
Samuel should is looking to find the area of his basement in order to cover it with carpet.
An area is calculated by multiplying two dimensions (so answers A and D are not it).
Best solution is to divide the area into two large rectangles then ADD them together to get the total area.
The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.
What value of x satisfies both equations above?
1. -1
2. 2
3. 1
4. -2
What is the slope of the line described by the 3y - 4x + 5 = 0 equation?
1. 4/3
2. -5/3
3. 5/4
4. 3/4
Please help.. Show work for ALL problems please.
Two more than a number x squared.