p0etraRoodle
Answered

A system of equations is shown below:


y = 5x + 3

y = 4x + 6


What is the solution to the system of equations?

A(−3, 18)
B(−3, −18)
C(3, −18)
D(3, 18)

Verified Answer :

To answer the question above, use substitution. The method involves substituting y of the second term by the expression for y in terms of x of the first term. This is shown below. 
 
                                     (1)        y = 5x + 3
                                     (2)        y = 4x + 6

Substituting, 
                                           5x + 3 = 4x + 6

Solving for x in this equation gives x = 3. Use this value to solve for y in any of the equations, 
 
                                             y = 5(3) + 3 = 18

Therefore, the answer is letter "D. (3, 18)".

Answer:


Step-by-step explanation:

f(x)=60[1/3]^x


initial value⇒ x=0, f(x) = 60[1/3]^0 = 601 = 60

x=1 ⇒f(1) = 60[1/3]


x=2 ⇒f(2) = 60[1/3]^2 = f(1) [1/3]


x = n ⇒ f(n) = 60[1/3]^n=60[1/3]^(n-1)[1/3] = f(n-1)*[1/3]


Then, the right choice is: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3


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