Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
Answer:
- The surface area of Cylinder B is 16 times the surface area of Cylinder A
Step-by-step explanation:
<u>Note</u>: <em>It is assumed we are looking at the total surface area (but the answer would be same for both cases)</em>
<h3>Given</h3>
- Cylinders A with radius - r, height - h,
- Cylinder B with radius - 4r, height - 4h.
<h3>To find </h3>
- The ratio of total surface areas of cylinder B to A
<h3>Solution</h3>
Total surface area of cylinder A is:
Total surface area of cylinder B is:
Find the ratio of areas:
For #2 it is. #4 it isn’t. #6 it isn’t.
Step-by-step explanation:
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Answer:
as a deciaml it is 0.1575
Step-by-step explanation:
