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.
Answer:
Step-by-step explanation:
Substitute x and y values for zero. Or
Answer:
29
Step-by-step explanation:
7(8)/4+5(3)
56/4+15
14+15
29
Answer:
1.01*10^-4
Step-by-step explanation:
first nonzero digit is 4 places to the right of the decimal point
.000<u>1</u>01
move decimal point 4 places to the right
1.01
multiply by 10^-4 since it was 4 places to the right
1.01*10^-4