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)
F(2)=8 and f(5v)=25v^2+15v-2
It defines the sequence as a formula<span> in terms of n. ... Sequence: {10, 15, 20, 25, 30, 35, ...}. Find an </span>explicit formula<span>. This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).</span>
You divide the denominator into the numerator and that will get your answer which is 7.
Answer:
F(2)=3
Step-by-step explanation:
The first term is -1.5= f(1).
So F(1+1)=-2*f(1)= (-1.5)*(-2)=3