Answer:
Step-by-step explanation:
exponential function : y = a(b)^x
where a = y intercept and b = factor ( number you are multiplying by )
according the the graph the y intercept is a 1 so a = 1
we now have y = 1(b)^x
to find the factor you plug in one of the ordered pairs into y = 1(b)^x
the ordered pair you use will not effect the outcome, i have chose (2,9)
y = 1(b)^x
(x,y) = (2,9) so x = 2 and y = 9
9 = 1(b)^2
divide both sides by 1
9 = (b)^2
take the square root of both sides
3 = b
the final equation is y = 1(3)^x or just y = 3^x
SOLUTION
The given equations are
The graph of the equations are shown:
Notice that the line intersect at (3,15)
Therefore, the solutions of the system of equations are
Answer:
1) A, C, and D all represent linear equations.
2) A, C, and D are functions; none of them have repeating x values.
3) D
5x + 7x = 180 ⇒ properties of linear pair
12x = 80 ⇒ addition property (since (5 + 7)x = 12x)
x = 15 ⇒ Division property (since we divide both sides by 12)
Answer:
x = 79°
Step-by-step explanation:
∠ABE = ∠BEF = 41° [Alternate angle ]
Now sum of angles of a triangle = 180°
Therefore,
∠EBF + ∠BEF + ∠BFE = 180°
60° + 41° + x = 180°
x = 180° - 60° - 41°
x = 79°
