Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
1. 30$ because 30% of $100 is 30$
2. 30%. 10% is 12•3
Answer:
The answer is 5+2n
Step-by-step explanation:
Answer:
1.75...?
Step-by-step explanation:
Uhh... Well if you're that desperate I'll try it.
If the actual football diameter is 21
Plug it into 1 : 12
x : 21
x / 21 = 1 / 12
12x = 21
x = 7 / 4
I don't really understand what the problem's asking though so this is probably wrong.
The graph is missing, so I am using a graph for a similar question.
It migh even be the same question, but the important thing is that I am going to explain you the situation in several sections of this diagram and so you will be able to work this kind of problems by your selfl.
The graph is attached (see the figure).
The graph shows the evolution of the
speed (vertical-axis) over time (horizontal-axis).In the
section A, the speed increases linearly: so the car is
speeding up uniformly (constant acceleration).
In the
section B, the line is horizontal which shows that the speed is constant. That is a
uniform motion.
In the
section C, the speed is decreasing uniformly, so the car is
slowing down with uniform negative acceleration.
So, for this graph, the answer is:
in the setion C. the car is slowing down (uniformly).