Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer:
Part 1) 10 modules per floor
Part 2) Two different rectangular prism
Step-by-step explanation:
Part 1)
Let
x ----> the number of modules
y ---> the number of stories
we have

Divide the number of modules by the number of stories
so

Part 2) How many different rectangular prisms could be made from that number?
The number is 10
Look at the factors of 10
They are 1,2
,4,5 and 10
Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10
There are 2 combinations that will work :
1
0×1×1
2
×5×1
The value of the expression -2xy for x = -4.7 and y = 0.2 is 1.88. Thus option number 3 is correct.
<u>Solution:</u>
We have been given an expression that is -2xy and have been asked to find its value for the given values of x and y
The given values of x and y are -4.7 and 0.2 respectively.
To find the value of the expression for the given values of x and y we substitute the values of x and y in the given expression and solve it as follows:
Given expression = -2xy

Hence the option number 3 is correct.
Answer:
(16) 0 (17) 36
Step-by-step explanation:
8-3 = 5
5x5 = 25
25 / 25 = 1
1 - 1 = 0
and 81 / 9 x 4 = 9 x 4 = 36