Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
The answer for this would be
C = 5000 + 200t
Answer:
18
Step-by-step explanation:
16 × 9 = 8 × x
x = 18
Answer:
Step-by-step explanation:
Given,
we know,
(f-g)(x)=f(x)-g(x)
So, here we get
(f-g)(x)
=f(x)-g(x)
=
=
=
=
So, the answer is
Answer:
A man borrows * 8000
He agrees to repay with a total interest of 1360 in 12 monthly instalments.
Each instalment being less than the preceding one by * 40
= 
x 40
= 12 x 34
= 408 (Ans)
