Question

pls explain this question​

Answer 1

Answer:

• option (b) ac/b is positive

Step-by-step explanation:

In the given graph,

• a ≤ 0 as the parabola is opening downward
• We know that, X - axis of a graph can be represented by -b/2a . We have observed that point is in 2nd Quadrant . So, -b/2a ≤ 0, → -b ≥ 0 , → b ≤ 0 . So , b ≤ 0.
• If x = 0. then, → ax² + bx + c = 0, → a(0)² + b(0) , → c = y . So, c ≥ 0.

Now ,

• c - a - b is negative . The is wrong as , a ≤ 0 & b ≤ 0 & c ≥ 0 . → c - a - b ≥ 0 . As , the negative sign of b & c make the signs positive .
• ac/b is positive . This is true , as -ve signs of a & b cancel each other . Hence , the ac/b becomes positive .
• a + b + c is positive . This is true only if , → a + c ≤ b . So, this statement is also false.
• abc is negative . The is completely wrong . As, the product of any two negative integers is always + ve . So, this statement is also false .

Final Answer -

• Option (b) ac/b is positive is always true.

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