Round off the number 0.007326 correct to 3 significant figures 3 decimal places
1 answer:
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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: C) y ≥ 3x - 2;
<u>Step-by-step explanation:</u>
Blue line:
y-intercept (b) = -2
slope (m) is 3 up, 1 right = 3
shading is above
⇒ y ≥ 3x - 2
Yellow line:
y-intercept (b) = 3
slope (m) is 1 up, 2 right =
shading is below