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
The best answer between the two choices would be the second option B) FALSE because the owner doesn't have to use his ''best'' judgement to figure out costs and expenses when it comes to sales.
Answer:
568
Step-by-step explanation:
because we multiply the 64 with the number that will be in the number
X+4=-4
3x-8=-8
Hope it helps.
Answer:
The error is in step 3. You cannot use a property of logarithms to prove that same property.
Step-by-step explanation:
Here we the proof of the quotient rule as
If Logₐx = M and Logₐy = N
Then x = 
and y = 
x ÷ y = ÷ = 
Take log of both sides we get
Logₐ(x÷y) = Logₐ
Logₐ(x÷y) =M-N logₐa
Logₐ(x÷y) =M-N
∴Logₐ(x÷y) = Logₐx - Logₐy
